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.

Murugan 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:_______________

Sriram drove from Happy city to Jubilant city.
He travelled $\frac{4}{5}$ of his journey at an average speed of $\frac{64km}{h}$ and completed the remaining 128 km in 2h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

Kumar drove from Happy city to Jubilant city.
He travelled $\frac{3}{5}$ of his journey at an average speed of $\frac{48km}{h}$ and completed the remaining 96 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 $\frac{67km}{h}$ and completed the remaining 67 km in 1h 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 $\frac{3}{5}$ of his journey at an average speed of $\frac{75km}{h}$ and completed the remaining 75 km in 1h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

Chidambaram drove from Happy city to Jubilant city.
He travelled $\frac{4}{5}$ of his journey at an average speed of $\frac{46km}{h}$ and completed the remaining 46 km in 1h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

Kumar drove from Happy city to Jubilant city.
He travelled $\frac{4}{5}$ of his journey at an average speed of $\frac{50km}{h}$ and completed the remaining 100 km in 2h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

Raj 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:_______________

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

Answer:_______________

10)

Anand drove from Happy city to Jubilant city.
He travelled $\frac{3}{5}$ of his journey at an average speed of $\frac{74km}{h}$ and completed the remaining 148 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	→	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	→	128 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 128 km
		=	512 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	512 km ÷ 64 $\frac{km}{h}$
		=	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	→	96 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 96 km
		=	288 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	288 km ÷ 48 $\frac{km}{h}$
		=	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	→	67 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 67 km
		=	268 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	268 km ÷ 67 $\frac{km}{h}$
		=	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	→	75 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 75 km
		=	225 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	225 km ÷ 75 $\frac{km}{h}$
		=	3 h

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

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	46 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 46 km
		=	184 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	184 km ÷ 46 $\frac{km}{h}$
		=	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	→	100 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 100 km
		=	400 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	400 km ÷ 50 $\frac{km}{h}$
		=	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	→	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

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	45 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 45 km
		=	180 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	180 km ÷ 45 $\frac{km}{h}$
		=	4 h

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

10)

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	148 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 148 km
		=	444 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	444 km ÷ 74 $\frac{km}{h}$
		=	6 h

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