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.

Aravindh 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:_______________

Narayanan drove from Happy city to Jubilant city.
He travelled $\frac{3}{5}$ of his journey at an average speed of $\frac{62km}{h}$ and completed the remaining 62 km in 1h 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 $\frac{2}{5}$ 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 $\frac{2}{5}$ 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:_______________

Anand drove from Happy city to Jubilant city.
He travelled $\frac{3}{5}$ 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:_______________

Narayanan drove from Happy city to Jubilant city.
He travelled $\frac{2}{5}$ of his journey at an average speed of $\frac{55km}{h}$ and completed the remaining 55 km in 1h 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 $\frac{62km}{h}$ and completed the remaining 124 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 $\frac{4}{5}$ of his journey at an average speed of $\frac{45km}{h}$ and completed the remaining 90 km in 2h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

Selvan drove from Happy city to Jubilant city.
He travelled $\frac{3}{5}$ of his journey at an average speed of $\frac{58km}{h}$ and completed the remaining 58 km in 1h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

10)

Pugal drove from Happy city to Jubilant city.
He travelled $\frac{3}{5}$ 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:_______________

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	→	62 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 62 km
		=	186 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	186 km ÷ 62 $\frac{km}{h}$
		=	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	→	106 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 106 km
		=	212 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	212 km ÷ 53 $\frac{km}{h}$
		=	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	→	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

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	51 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 51 km
		=	153 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	153 km ÷ 51 $\frac{km}{h}$
		=	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	→	55 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 55 km
		=	110 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	110 km ÷ 55 $\frac{km}{h}$
		=	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	→	124 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 124 km
		=	372 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	372 km ÷ 62 $\frac{km}{h}$
		=	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	→	90 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 90 km
		=	360 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	360 km ÷ 45 $\frac{km}{h}$
		=	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	→	58 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 58 km
		=	174 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	174 km ÷ 58 $\frac{km}{h}$
		=	3 h

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

10)

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	67 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 67 km
		=	201 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	201 km ÷ 67 $\frac{km}{h}$
		=	3 h

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