Sasi Math (Revised for 1024)

Scroll:Distance, Time and Speed >> Distance, Time & Speed >> ps (643)

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.

Kalai drove from Happy city to Jubilant city.
He travelled $\frac{2}{5}$ of his journey at an average speed of $\frac{60km}{h}$ and completed the remaining 60 km in 1h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

Aravindh drove from Happy city to Jubilant city.
He travelled $\frac{4}{5}$ of his journey at an average speed of $\frac{70km}{h}$ and completed the remaining 140 km in 2h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

Murugan drove from Happy city to Jubilant city.
He travelled $\frac{4}{5}$ of his journey at an average speed of $\frac{60km}{h}$ and completed the remaining 60 km in 1h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

Pugal drove from Happy city to Jubilant city.
He travelled $\frac{2}{5}$ of his journey at an average speed of $\frac{59km}{h}$ and completed the remaining 118 km in 2h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

Anand drove from Happy city to Jubilant city.
He travelled $\frac{4}{5}$ of his journey at an average speed of $\frac{73km}{h}$ and completed the remaining 146 km in 2h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

Sriram drove from Happy city to Jubilant city.
He travelled $\frac{3}{5}$ of his journey at an average speed of $\frac{59km}{h}$ and completed the remaining 118 km in 2h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

Pugal drove from Happy city to Jubilant city.
He travelled $\frac{2}{5}$ of his journey at an average speed of $\frac{75km}{h}$ and completed the remaining 150 km in 2h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

Narayanan drove from Happy city to Jubilant city.
He travelled $\frac{4}{5}$ of his journey at an average speed of $\frac{68km}{h}$ and completed the remaining 136 km in 2h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

Barathan drove from Happy city to Jubilant city.
He travelled $\frac{2}{5}$ of his journey at an average speed of $\frac{69km}{h}$ and completed the remaining 138 km in 2h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

10)

Karna drove from Happy city to Jubilant city.
He travelled $\frac{4}{5}$ of his journey at an average speed of $\frac{53km}{h}$ and completed the remaining 106 km in 2h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	60 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 60 km
		=	120 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	120 km ÷ 60 $\frac{km}{h}$
		=	2 h

Step 3:	Total travel time	→	2 h + 1 h 45 min
		=	3 h 45 min

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	140 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 140 km
		=	560 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	560 km ÷ 70 $\frac{km}{h}$
		=	8 h

Step 3:	Total travel time	→	8 h + 2 h 45 min
		=	10 h 45 min

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	60 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 60 km
		=	240 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	240 km ÷ 60 $\frac{km}{h}$
		=	4 h

Step 3:	Total travel time	→	4 h + 1 h 45 min
		=	5 h 45 min

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	118 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 118 km
		=	236 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	236 km ÷ 59 $\frac{km}{h}$
		=	4 h

Step 3:	Total travel time	→	4 h + 2 h 45 min
		=	6 h 45 min

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	146 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 146 km
		=	584 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	584 km ÷ 73 $\frac{km}{h}$
		=	8 h

Step 3:	Total travel time	→	8 h + 2 h 45 min
		=	10 h 45 min

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	118 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 118 km
		=	354 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	354 km ÷ 59 $\frac{km}{h}$
		=	6 h

Step 3:	Total travel time	→	6 h + 2 h 45 min
		=	8 h 45 min

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	150 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 150 km
		=	300 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	300 km ÷ 75 $\frac{km}{h}$
		=	4 h

Step 3:	Total travel time	→	4 h + 2 h 45 min
		=	6 h 45 min

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	136 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 136 km
		=	544 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	544 km ÷ 68 $\frac{km}{h}$
		=	8 h

Step 3:	Total travel time	→	8 h + 2 h 45 min
		=	10 h 45 min

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	138 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 138 km
		=	276 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	276 km ÷ 69 $\frac{km}{h}$
		=	4 h

Step 3:	Total travel time	→	4 h + 2 h 45 min
		=	6 h 45 min

10)

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	106 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 106 km
		=	424 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	424 km ÷ 53 $\frac{km}{h}$
		=	8 h

Step 3:	Total travel time	→	8 h + 2 h 45 min
		=	10 h 45 min