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.

Kumar 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 120 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 $\frac{3}{5}$ of his journey at an average speed of $\frac{47km}{h}$ and completed the remaining 94 km in 2h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

Prem drove from Happy city to Jubilant city.
He travelled $\frac{4}{5}$ 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:_______________

Anand drove from Happy city to Jubilant city.
He travelled $\frac{4}{5}$ of his journey at an average speed of $\frac{58km}{h}$ and completed the remaining 116 km in 2h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

Balaji 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:_______________

Sriram drove from Happy city to Jubilant city.
He travelled $\frac{3}{5}$ of his journey at an average speed of $\frac{52km}{h}$ and completed the remaining 52 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 $\frac{3}{5}$ of his journey at an average speed of $\frac{66km}{h}$ and completed the remaining 132 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 $\frac{4}{5}$ of his journey at an average speed of $\frac{57km}{h}$ and completed the remaining 114 km in 2h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

Moorthi drove from Happy city to Jubilant city.
He travelled $\frac{2}{5}$ of his journey at an average speed of $\frac{51km}{h}$ and completed the remaining 51 km in 1h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

10)

Raj drove from Happy city to Jubilant city.
He travelled $\frac{4}{5}$ of his journey at an average speed of $\frac{65km}{h}$ and completed the remaining 65 km in 1h 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	→	120 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 120 km
		=	480 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	480 km ÷ 60 $\frac{km}{h}$
		=	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	→	94 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 94 km
		=	282 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	282 km ÷ 47 $\frac{km}{h}$
		=	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	→	138 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 138 km
		=	552 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	552 km ÷ 69 $\frac{km}{h}$
		=	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	→	116 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 116 km
		=	464 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	464 km ÷ 58 $\frac{km}{h}$
		=	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	→	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	→	52 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 52 km
		=	156 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	156 km ÷ 52 $\frac{km}{h}$
		=	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	→	132 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 132 km
		=	396 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	396 km ÷ 66 $\frac{km}{h}$
		=	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	→	114 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 114 km
		=	456 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	456 km ÷ 57 $\frac{km}{h}$
		=	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	→	51 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 51 km
		=	102 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	102 km ÷ 51 $\frac{km}{h}$
		=	2 h

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

10)

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	65 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 65 km
		=	260 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	260 km ÷ 65 $\frac{km}{h}$
		=	4 h

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