Sasi Math (Revised for 1024)

Scroll:Distance, Time and Speed >> Distance, Time & Speed >> ps (645)

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.

Tamilselvi drove the first 2h of her journey at 50 $\frac{km}{h.}$
Driving at an average speed of 65 $\frac{km}{h}$ , it took her another 5h to complete the remaining journey.
Find the average speed. Express your answer corrected to the nearest 2 decimal places.
$\frac{km}{h}$

Answer:_______________

Mr Goh drove at 73 $\frac{km}{h}$ for 2h and then slowed down to 60 $\frac{km}{h}$ for the next 15 min. What was his average speed for the journey Express your answer corrected to the nearest 2 decimal places.

$\frac{km}{h}$

Answer:_______________

Ovini drove the first 3h of her journey at 45 $\frac{km}{h.}$
Driving at an average speed of 70 $\frac{km}{h}$ , it took her another 7h to complete the remaining journey.
Find the average speed. Express your answer corrected to the nearest 2 decimal places.
$\frac{km}{h}$

Answer:_______________

Mr Goh drove at 69 $\frac{km}{h}$ for 1h and then slowed down to 52 $\frac{km}{h}$ for the next 15 min. What was his average speed for the journey Express your answer corrected to the nearest 2 decimal places.

$\frac{km}{h}$

Answer:_______________

Pavi drove the first 2h of her journey at 50 $\frac{km}{h.}$
Driving at an average speed of 75 $\frac{km}{h}$ , it took her another 5h to complete the remaining journey.
Find the average speed. Express your answer corrected to the nearest 2 decimal places.
$\frac{km}{h}$

Answer:_______________

Mr Goh drove at 74 $\frac{km}{h}$ for 4h and then slowed down to 52 $\frac{km}{h}$ for the next 15 min. What was his average speed for the journey Express your answer corrected to the nearest 2 decimal places.

$\frac{km}{h}$

Answer:_______________

Chellamal drove the first 3h of her journey at 55 $\frac{km}{h.}$
Driving at an average speed of 65 $\frac{km}{h}$ , it took her another 6h to complete the remaining journey.
Find the average speed. Express your answer corrected to the nearest 2 decimal places.
$\frac{km}{h}$

Answer:_______________

Mr Goh drove at 81 $\frac{km}{h}$ for 2h and then slowed down to 44 $\frac{km}{h}$ for the next 15 min. What was his average speed for the journey Express your answer corrected to the nearest 2 decimal places.

$\frac{km}{h}$

Answer:_______________

Nandini drove the first 3h of her journey at 50 $\frac{km}{h.}$
Driving at an average speed of 75 $\frac{km}{h}$ , it took her another 5h to complete the remaining journey.
Find the average speed. Express your answer corrected to the nearest 2 decimal places.
$\frac{km}{h}$

Answer:_______________

10)

Mr Goh drove at 70 $\frac{km}{h}$ for 4h and then slowed down to 44 $\frac{km}{h}$ for the next 15 min. What was his average speed for the journey Express your answer corrected to the nearest 2 decimal places.

$\frac{km}{h}$

Answer:_______________

SOLUTION 1 :

Step 1:	Distance covered at a speed of 50 $\frac{km}{h}$	→	50 $\frac{km}{h}$ x 2 h
		=	100 km

Step 2:	Distance covered at a speed of 65 $\frac{km}{h}$	→	65 $\frac{km}{h}$ x 5 h
		=	325 km

Step 3:	Total distance	→	100 km + 325 km
		=	425 km

Step 4:	Total time	→	2 h + 5 h
		=	7 h

Step 5:	Average speed	→	425 km ÷ 7 h
		=	60.71429 $\frac{km}{h}$
		≈	60.71 $\frac{km}{h}$

Answer: 71.56 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Distance covered at a speed of 73 $\frac{km}{h}$	→	73 $\frac{km}{h}$ x 2 h
		=	146 km

Step 2:	Distance covered at a speed of 60 $\frac{km}{h}$	→	60 $\frac{km}{h}$ x $\frac{15}{60}$ h
		=	60 $\frac{km}{h}$ x $\frac{1}{4}$ h
		=	15 km

Step 3:	Total distance	→	146 km + 15 km
		=	161 km

Step 4:	Total time	→	2 h + $\frac{1}{4}$ h
		=	2 $\frac{1}{4}$ h

Step 5:	Average speed	→	161 km ÷ 2 $\frac{1}{4}$ h
		=	71.55556 $\frac{km}{h}$
		≈	71.56 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Distance covered at a speed of 45 $\frac{km}{h}$	→	45 $\frac{km}{h}$ x 3 h
		=	135 km

Step 2:	Distance covered at a speed of 70 $\frac{km}{h}$	→	70 $\frac{km}{h}$ x 7 h
		=	490 km

Step 3:	Total distance	→	135 km + 490 km
		=	625 km

Step 4:	Total time	→	3 h + 7 h
		=	10 h

Step 5:	Average speed	→	625 km ÷ 10 h
		=	62.5 $\frac{km}{h}$
		≈	62.50 $\frac{km}{h}$

Answer: 65.60 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Distance covered at a speed of 69 $\frac{km}{h}$	→	69 $\frac{km}{h}$ x 1 h
		=	69 km

Step 2:	Distance covered at a speed of 52 $\frac{km}{h}$	→	52 $\frac{km}{h}$ x $\frac{15}{60}$ h
		=	52 $\frac{km}{h}$ x $\frac{1}{4}$ h
		=	13 km

Step 3:	Total distance	→	69 km + 13 km
		=	82 km

Step 4:	Total time	→	1 h + $\frac{1}{4}$ h
		=	1 $\frac{1}{4}$ h

Step 5:	Average speed	→	82 km ÷ 1 $\frac{1}{4}$ h
		=	65.6 $\frac{km}{h}$
		≈	65.60 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Distance covered at a speed of 50 $\frac{km}{h}$	→	50 $\frac{km}{h}$ x 2 h
		=	100 km

Step 2:	Distance covered at a speed of 75 $\frac{km}{h}$	→	75 $\frac{km}{h}$ x 5 h
		=	375 km

Step 3:	Total distance	→	100 km + 375 km
		=	475 km

Step 4:	Total time	→	2 h + 5 h
		=	7 h

Step 5:	Average speed	→	475 km ÷ 7 h
		=	67.85714 $\frac{km}{h}$
		≈	67.86 $\frac{km}{h}$

Answer: 72.71 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Distance covered at a speed of 74 $\frac{km}{h}$	→	74 $\frac{km}{h}$ x 4 h
		=	296 km

Step 2:	Distance covered at a speed of 52 $\frac{km}{h}$	→	52 $\frac{km}{h}$ x $\frac{15}{60}$ h
		=	52 $\frac{km}{h}$ x $\frac{1}{4}$ h
		=	13 km

Step 3:	Total distance	→	296 km + 13 km
		=	309 km

Step 4:	Total time	→	4 h + $\frac{1}{4}$ h
		=	4 $\frac{1}{4}$ h

Step 5:	Average speed	→	309 km ÷ 4 $\frac{1}{4}$ h
		=	72.70588 $\frac{km}{h}$
		≈	72.71 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Distance covered at a speed of 55 $\frac{km}{h}$	→	55 $\frac{km}{h}$ x 3 h
		=	165 km

Step 2:	Distance covered at a speed of 65 $\frac{km}{h}$	→	65 $\frac{km}{h}$ x 6 h
		=	390 km

Step 3:	Total distance	→	165 km + 390 km
		=	555 km

Step 4:	Total time	→	3 h + 6 h
		=	9 h

Step 5:	Average speed	→	555 km ÷ 9 h
		=	61.66667 $\frac{km}{h}$
		≈	61.67 $\frac{km}{h}$

Answer: 76.89 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Distance covered at a speed of 81 $\frac{km}{h}$	→	81 $\frac{km}{h}$ x 2 h
		=	162 km

Step 2:	Distance covered at a speed of 44 $\frac{km}{h}$	→	44 $\frac{km}{h}$ x $\frac{15}{60}$ h
		=	44 $\frac{km}{h}$ x $\frac{1}{4}$ h
		=	11 km

Step 3:	Total distance	→	162 km + 11 km
		=	173 km

Step 4:	Total time	→	2 h + $\frac{1}{4}$ h
		=	2 $\frac{1}{4}$ h

Step 5:	Average speed	→	173 km ÷ 2 $\frac{1}{4}$ h
		=	76.88889 $\frac{km}{h}$
		≈	76.89 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Distance covered at a speed of 50 $\frac{km}{h}$	→	50 $\frac{km}{h}$ x 3 h
		=	150 km

Step 2:	Distance covered at a speed of 75 $\frac{km}{h}$	→	75 $\frac{km}{h}$ x 5 h
		=	375 km

Step 3:	Total distance	→	150 km + 375 km
		=	525 km

Step 4:	Total time	→	3 h + 5 h
		=	8 h

Step 5:	Average speed	→	525 km ÷ 8 h
		=	65.625 $\frac{km}{h}$
		≈	65.63 $\frac{km}{h}$

10)

Answer: 68.47 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Distance covered at a speed of 70 $\frac{km}{h}$	→	70 $\frac{km}{h}$ x 4 h
		=	280 km

Step 2:	Distance covered at a speed of 44 $\frac{km}{h}$	→	44 $\frac{km}{h}$ x $\frac{15}{60}$ h
		=	44 $\frac{km}{h}$ x $\frac{1}{4}$ h
		=	11 km

Step 3:	Total distance	→	280 km + 11 km
		=	291 km

Step 4:	Total time	→	4 h + $\frac{1}{4}$ h
		=	4 $\frac{1}{4}$ h

Step 5:	Average speed	→	291 km ÷ 4 $\frac{1}{4}$ h
		=	68.47059 $\frac{km}{h}$
		≈	68.47 $\frac{km}{h}$