Sasi Math (Revised for 1024)

Scroll:Distance, Time and Speed >> Distance, Time & Speed >> ps (1770)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

Town Lala and Town Yaya are 680 km apart. At 8.30 a.m., a car left Town Lala for Town Yaya, travelling at a constant speed. At the same time, a lorry set off from Town Yaya for Town Lala at a constant speed too. At 1.30 p.m.,the two vehicles passed each other. If the speed of the car was 26 $\frac{km}{h}$ faster than the lorry, find the speed of the car.

$\frac{km}{h}$

Answer:_______________

Town A and Town B were 798 km apart. At 1045 h Swathi drove from Town A to Town B. At the same time, Karna drove from Town B to Town A on the same road. Both of them did not change their speeds throughout their journeys. Swathi and Karna passed each other at 1530 h. If Swathi was travelling 12 $\frac{km}{h}$ slower than Karna, find Karna's speed.

$\frac{km}{h}$

Answer:_______________

Town Lala and Town Yaya are 700 km apart. At 8.30 a.m., a car left Town Lala for Town Yaya, travelling at a constant speed. At the same time, a lorry set off from Town Yaya for Town Lala at a constant speed too. At 1.30 p.m.,the two vehicles passed each other. If the speed of the car was 18 $\frac{km}{h}$ faster than the lorry, find the speed of the car.

$\frac{km}{h}$

Answer:_______________

Town A and Town B were 722 km apart. At 1045 h Haritha drove from Town A to Town B. At the same time, Prem drove from Town B to Town A on the same road. Both of them did not change their speeds throughout their journeys. Haritha and Prem passed each other at 1530 h. If Haritha was travelling 26 $\frac{km}{h}$ slower than Prem, find Prem's speed.

$\frac{km}{h}$

Answer:_______________

Town Lala and Town Yaya are 670 km apart. At 8.30 a.m., a car left Town Lala for Town Yaya, travelling at a constant speed. At the same time, a lorry set off from Town Yaya for Town Lala at a constant speed too. At 1.30 p.m.,the two vehicles passed each other. If the speed of the car was 14 $\frac{km}{h}$ faster than the lorry, find the speed of the car.

$\frac{km}{h}$

Answer:_______________

Town A and Town B were 760 km apart. At 1045 h Jeevini drove from Town A to Town B. At the same time, Moorthi drove from Town B to Town A on the same road. Both of them did not change their speeds throughout their journeys. Jeevini and Moorthi passed each other at 1530 h. If Jeevini was travelling 28 $\frac{km}{h}$ slower than Moorthi, find Moorthi's speed.

$\frac{km}{h}$

Answer:_______________

Town Lala and Town Yaya are 650 km apart. At 8.30 a.m., a car left Town Lala for Town Yaya, travelling at a constant speed. At the same time, a lorry set off from Town Yaya for Town Lala at a constant speed too. At 1.30 p.m.,the two vehicles passed each other. If the speed of the car was 18 $\frac{km}{h}$ faster than the lorry, find the speed of the car.

$\frac{km}{h}$

Answer:_______________

Town A and Town B were 912 km apart. At 1045 h Keerthi drove from Town A to Town B. At the same time, Prem drove from Town B to Town A on the same road. Both of them did not change their speeds throughout their journeys. Keerthi and Prem passed each other at 1530 h. If Keerthi was travelling 24 $\frac{km}{h}$ slower than Prem, find Prem's speed.

$\frac{km}{h}$

Answer:_______________

Town Lala and Town Yaya are 740 km apart. At 8.30 a.m., a car left Town Lala for Town Yaya, travelling at a constant speed. At the same time, a lorry set off from Town Yaya for Town Lala at a constant speed too. At 1.30 p.m.,the two vehicles passed each other. If the speed of the car was 14 $\frac{km}{h}$ faster than the lorry, find the speed of the car.

$\frac{km}{h}$

Answer:_______________

10)

Town A and Town B were 836 km apart. At 1045 h Selvanayaki drove from Town A to Town B. At the same time, Karna drove from Town B to Town A on the same road. Both of them did not change their speeds throughout their journeys. Selvanayaki and Karna passed each other at 1530 h. If Selvanayaki was travelling 22 $\frac{km}{h}$ slower than Karna, find Karna's speed.

$\frac{km}{h}$

Answer:_______________

Answer: 81 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Travelling time	→	1.30 p.m. - 8.30 a.m.
		=	5h

Step 2:	1h	→	26 km
	5h	→	5 x 26 km
		=	130 km

The lorry travelled 130 km less than the car.

Lorry

Car

130km

Total = 680 km

Step 3: 680 km - 130 km = 550 km

Step 4:	Distance travelled by the lorry	→	550 km ÷ 2
		=	275 km

Step 5:	Distance travelled by the car	→	275 km + 130 km
		=	405 km

Step 6:	Car's speed	→	405 km ÷ 5h
		=	81 $\frac{km}{h}$

SOLUTION 2 :

Step 1:	Travelling time	→	1.30 p.m. - 8.30 a.m.
		=	5h

Step 2:	1h	→	26 km
	5h	→	5 x 26 km
		=	130 km

The lorry travelled 130 km less than the car.

Lorry

Car

130km

Total = 680 km

Step 3: 680 km - 130 km = 550 km

Step 4:	Distance travelled by the lorry	→	550 km ÷ 2
		=	275 km

Step 5:	Lorry's speed	→	275 km ÷ 5h
		=	55 $\frac{km}{h}$

Step 6:	Car's speed	→	55 $\frac{km}{h}$ + 26 $\frac{km}{h}$
		=	81 $\frac{km}{h}$

Answer: 90 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Travelling time	→	1530 h - 1045 h
		=	4 $\frac{3}{4}$ h

Step 2:	1h	→	12 km
	4 $\frac{3}{4}$ h	→	4 $\frac{3}{4}$ x 12 km
		=	57 km

Swathi travelled 57 km less than Karna.

Swathi

Karna

57km

Total = 798 km

Step 3: 798 km - 57 km = 741 km

Step 4:	Distance travelled by Swathi	→	741 km ÷ 2
		=	370.5 km

Step 5:	Swathi's speed	→	370.5 km ÷ 4 $\frac{3}{4}$ h
		=	78 $\frac{km}{h}$

Step 6:	Karna's speed	→	78 $\frac{km}{h}$ + 12 $\frac{km}{h}$
		=	90 $\frac{km}{h}$

SOLUTION 2 :

Step 1:	Travelling time	→	1530 h - 1045 h
		=	4 $\frac{3}{4}$ h

Step 2:	1h	→	12 km
	4 $\frac{3}{4}$ h	→	4 $\frac{3}{4}$ x 12 km
		=	57 km

Swathi travelled 57 km less than Karna.

Swathi

Karna

57km

Total = 798 km

Step 3: 798 km - 57 km = 741 km

Step 4:	Distance travelled by Swathi	→	741 km ÷ 2
		=	370.5 km

Step 5:	Distance travelled by Karna	→	370.5 km + 57 km
		=	427.5 km

Step 6:	Karna's speed	→	427.5 km ÷ 4 $\frac{3}{4}$ h
		=	90 $\frac{km}{h}$

Answer: 79 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Travelling time	→	1.30 p.m. - 8.30 a.m.
		=	5h

Step 2:	1h	→	18 km
	5h	→	5 x 18 km
		=	90 km

The lorry travelled 90 km less than the car.

Lorry

Car

90km

Total = 700 km

Step 3: 700 km - 90 km = 610 km

Step 4:	Distance travelled by the lorry	→	610 km ÷ 2
		=	305 km

Step 5:	Distance travelled by the car	→	305 km + 90 km
		=	395 km

Step 6:	Car's speed	→	395 km ÷ 5h
		=	79 $\frac{km}{h}$

SOLUTION 2 :

Step 1:	Travelling time	→	1.30 p.m. - 8.30 a.m.
		=	5h

Step 2:	1h	→	18 km
	5h	→	5 x 18 km
		=	90 km

The lorry travelled 90 km less than the car.

Lorry

Car

90km

Total = 700 km

Step 3: 700 km - 90 km = 610 km

Step 4:	Distance travelled by the lorry	→	610 km ÷ 2
		=	305 km

Step 5:	Lorry's speed	→	305 km ÷ 5h
		=	61 $\frac{km}{h}$

Step 6:	Car's speed	→	61 $\frac{km}{h}$ + 18 $\frac{km}{h}$
		=	79 $\frac{km}{h}$

Answer: 89 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Travelling time	→	1530 h - 1045 h
		=	4 $\frac{3}{4}$ h

Step 2:	1h	→	26 km
	4 $\frac{3}{4}$ h	→	4 $\frac{3}{4}$ x 26 km
		=	123.5 km

Haritha travelled 123.5 km less than Prem.

Haritha

Prem

123.5km

Total = 722 km

Step 3: 722 km - 123.5 km = 598.5 km

Step 4:	Distance travelled by Haritha	→	598.5 km ÷ 2
		=	299.25 km

Step 5:	Haritha's speed	→	299.25 km ÷ 4 $\frac{3}{4}$ h
		=	63 $\frac{km}{h}$

Step 6:	Prem's speed	→	63 $\frac{km}{h}$ + 26 $\frac{km}{h}$
		=	89 $\frac{km}{h}$

SOLUTION 2 :

Step 1:	Travelling time	→	1530 h - 1045 h
		=	4 $\frac{3}{4}$ h

Step 2:	1h	→	26 km
	4 $\frac{3}{4}$ h	→	4 $\frac{3}{4}$ x 26 km
		=	123.5 km

Haritha travelled 123.5 km less than Prem.

Haritha

Prem

123.5km

Total = 722 km

Step 3: 722 km - 123.5 km = 598.5 km

Step 4:	Distance travelled by Haritha	→	598.5 km ÷ 2
		=	299.25 km

Step 5:	Distance travelled by Prem	→	299.25 km + 123.5 km
		=	422.75 km

Step 6:	Prem's speed	→	422.75 km ÷ 4 $\frac{3}{4}$ h
		=	89 $\frac{km}{h}$

Answer: 74 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Travelling time	→	1.30 p.m. - 8.30 a.m.
		=	5h

Step 2:	1h	→	14 km
	5h	→	5 x 14 km
		=	70 km

The lorry travelled 70 km less than the car.

Lorry

Car

70km

Total = 670 km

Step 3: 670 km - 70 km = 600 km

Step 4:	Distance travelled by the lorry	→	600 km ÷ 2
		=	300 km

Step 5:	Distance travelled by the car	→	300 km + 70 km
		=	370 km

Step 6:	Car's speed	→	370 km ÷ 5h
		=	74 $\frac{km}{h}$

SOLUTION 2 :

Step 1:	Travelling time	→	1.30 p.m. - 8.30 a.m.
		=	5h

Step 2:	1h	→	14 km
	5h	→	5 x 14 km
		=	70 km

The lorry travelled 70 km less than the car.

Lorry

Car

70km

Total = 670 km

Step 3: 670 km - 70 km = 600 km

Step 4:	Distance travelled by the lorry	→	600 km ÷ 2
		=	300 km

Step 5:	Lorry's speed	→	300 km ÷ 5h
		=	60 $\frac{km}{h}$

Step 6:	Car's speed	→	60 $\frac{km}{h}$ + 14 $\frac{km}{h}$
		=	74 $\frac{km}{h}$

Answer: 94 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Travelling time	→	1530 h - 1045 h
		=	4 $\frac{3}{4}$ h

Step 2:	1h	→	28 km
	4 $\frac{3}{4}$ h	→	4 $\frac{3}{4}$ x 28 km
		=	133 km

Jeevini travelled 133 km less than Moorthi.

Jeevini

Moorthi

133km

Total = 760 km

Step 3: 760 km - 133 km = 627 km

Step 4:	Distance travelled by Jeevini	→	627 km ÷ 2
		=	313.5 km

Step 5:	Jeevini's speed	→	313.5 km ÷ 4 $\frac{3}{4}$ h
		=	66 $\frac{km}{h}$

Step 6:	Moorthi's speed	→	66 $\frac{km}{h}$ + 28 $\frac{km}{h}$
		=	94 $\frac{km}{h}$

SOLUTION 2 :

Step 1:	Travelling time	→	1530 h - 1045 h
		=	4 $\frac{3}{4}$ h

Step 2:	1h	→	28 km
	4 $\frac{3}{4}$ h	→	4 $\frac{3}{4}$ x 28 km
		=	133 km

Jeevini travelled 133 km less than Moorthi.

Jeevini

Moorthi

133km

Total = 760 km

Step 3: 760 km - 133 km = 627 km

Step 4:	Distance travelled by Jeevini	→	627 km ÷ 2
		=	313.5 km

Step 5:	Distance travelled by Moorthi	→	313.5 km + 133 km
		=	446.5 km

Step 6:	Moorthi's speed	→	446.5 km ÷ 4 $\frac{3}{4}$ h
		=	94 $\frac{km}{h}$

Answer: 74 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Travelling time	→	1.30 p.m. - 8.30 a.m.
		=	5h

Step 2:	1h	→	18 km
	5h	→	5 x 18 km
		=	90 km

The lorry travelled 90 km less than the car.

Lorry

Car

90km

Total = 650 km

Step 3: 650 km - 90 km = 560 km

Step 4:	Distance travelled by the lorry	→	560 km ÷ 2
		=	280 km

Step 5:	Distance travelled by the car	→	280 km + 90 km
		=	370 km

Step 6:	Car's speed	→	370 km ÷ 5h
		=	74 $\frac{km}{h}$

SOLUTION 2 :

Step 1:	Travelling time	→	1.30 p.m. - 8.30 a.m.
		=	5h

Step 2:	1h	→	18 km
	5h	→	5 x 18 km
		=	90 km

The lorry travelled 90 km less than the car.

Lorry

Car

90km

Total = 650 km

Step 3: 650 km - 90 km = 560 km

Step 4:	Distance travelled by the lorry	→	560 km ÷ 2
		=	280 km

Step 5:	Lorry's speed	→	280 km ÷ 5h
		=	56 $\frac{km}{h}$

Step 6:	Car's speed	→	56 $\frac{km}{h}$ + 18 $\frac{km}{h}$
		=	74 $\frac{km}{h}$

Answer: 108 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Travelling time	→	1530 h - 1045 h
		=	4 $\frac{3}{4}$ h

Step 2:	1h	→	24 km
	4 $\frac{3}{4}$ h	→	4 $\frac{3}{4}$ x 24 km
		=	114 km

Keerthi travelled 114 km less than Prem.

Keerthi

Prem

114km

Total = 912 km

Step 3: 912 km - 114 km = 798 km

Step 4:	Distance travelled by Keerthi	→	798 km ÷ 2
		=	399 km

Step 5:	Keerthi's speed	→	399 km ÷ 4 $\frac{3}{4}$ h
		=	84 $\frac{km}{h}$

Step 6:	Prem's speed	→	84 $\frac{km}{h}$ + 24 $\frac{km}{h}$
		=	108 $\frac{km}{h}$

SOLUTION 2 :

Step 1:	Travelling time	→	1530 h - 1045 h
		=	4 $\frac{3}{4}$ h

Step 2:	1h	→	24 km
	4 $\frac{3}{4}$ h	→	4 $\frac{3}{4}$ x 24 km
		=	114 km

Keerthi travelled 114 km less than Prem.

Keerthi

Prem

114km

Total = 912 km

Step 3: 912 km - 114 km = 798 km

Step 4:	Distance travelled by Keerthi	→	798 km ÷ 2
		=	399 km

Step 5:	Distance travelled by Prem	→	399 km + 114 km
		=	513 km

Step 6:	Prem's speed	→	513 km ÷ 4 $\frac{3}{4}$ h
		=	108 $\frac{km}{h}$

Answer: 81 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Travelling time	→	1.30 p.m. - 8.30 a.m.
		=	5h

Step 2:	1h	→	14 km
	5h	→	5 x 14 km
		=	70 km

The lorry travelled 70 km less than the car.

Lorry

Car

70km

Total = 740 km

Step 3: 740 km - 70 km = 670 km

Step 4:	Distance travelled by the lorry	→	670 km ÷ 2
		=	335 km

Step 5:	Distance travelled by the car	→	335 km + 70 km
		=	405 km

Step 6:	Car's speed	→	405 km ÷ 5h
		=	81 $\frac{km}{h}$

SOLUTION 2 :

Step 1:	Travelling time	→	1.30 p.m. - 8.30 a.m.
		=	5h

Step 2:	1h	→	14 km
	5h	→	5 x 14 km
		=	70 km

The lorry travelled 70 km less than the car.

Lorry

Car

70km

Total = 740 km

Step 3: 740 km - 70 km = 670 km

Step 4:	Distance travelled by the lorry	→	670 km ÷ 2
		=	335 km

Step 5:	Lorry's speed	→	335 km ÷ 5h
		=	67 $\frac{km}{h}$

Step 6:	Car's speed	→	67 $\frac{km}{h}$ + 14 $\frac{km}{h}$
		=	81 $\frac{km}{h}$

10)

Answer: 99 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Travelling time	→	1530 h - 1045 h
		=	4 $\frac{3}{4}$ h

Step 2:	1h	→	22 km
	4 $\frac{3}{4}$ h	→	4 $\frac{3}{4}$ x 22 km
		=	104.5 km

Selvanayaki travelled 104.5 km less than Karna.

Selvanayaki

Karna

104.5km

Total = 836 km

Step 3: 836 km - 104.5 km = 731.5 km

Step 4:	Distance travelled by Selvanayaki	→	731.5 km ÷ 2
		=	365.75 km

Step 5:	Selvanayaki's speed	→	365.75 km ÷ 4 $\frac{3}{4}$ h
		=	77 $\frac{km}{h}$

Step 6:	Karna's speed	→	77 $\frac{km}{h}$ + 22 $\frac{km}{h}$
		=	99 $\frac{km}{h}$

SOLUTION 2 :

Step 1:	Travelling time	→	1530 h - 1045 h
		=	4 $\frac{3}{4}$ h

Step 2:	1h	→	22 km
	4 $\frac{3}{4}$ h	→	4 $\frac{3}{4}$ x 22 km
		=	104.5 km

Selvanayaki travelled 104.5 km less than Karna.

Selvanayaki

Karna

104.5km

Total = 836 km

Step 3: 836 km - 104.5 km = 731.5 km

Step 4:	Distance travelled by Selvanayaki	→	731.5 km ÷ 2
		=	365.75 km

Step 5:	Distance travelled by Karna	→	365.75 km + 104.5 km
		=	470.25 km

Step 6:	Karna's speed	→	470.25 km ÷ 4 $\frac{3}{4}$ h
		=	99 $\frac{km}{h}$