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.

Pugal drove from Happy city to Jubilant city.
He travelled $\frac{3}{5}$ of his journey at an average speed of $\frac{63km}{h}$ and completed the remaining 63 km in 1h 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 $\frac{4}{5}$ of his journey at an average speed of $\frac{67km}{h}$ and completed the remaining 134 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 $\frac{3}{5}$ of his journey at an average speed of $\frac{49km}{h}$ and completed the remaining 49 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 $\frac{4}{5}$ 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:_______________

Kalai 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 75 km in 1h 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 $\frac{65km}{h}$ and completed the remaining 130 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 $\frac{72km}{h}$ and completed the remaining 144 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 $\frac{4}{5}$ of his journey at an average speed of $\frac{54km}{h}$ and completed the remaining 54 km in 1h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

Kalai 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:_______________

10)

Kalai 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:_______________

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	63 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 63 km
		=	189 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	189 km ÷ 63 $\frac{km}{h}$
		=	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	→	134 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 134 km
		=	536 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	536 km ÷ 67 $\frac{km}{h}$
		=	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	→	49 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 49 km
		=	147 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	147 km ÷ 49 $\frac{km}{h}$
		=	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	→	148 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 148 km
		=	592 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	592 km ÷ 74 $\frac{km}{h}$
		=	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	→	75 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 75 km
		=	150 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	150 km ÷ 75 $\frac{km}{h}$
		=	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	→	130 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 130 km
		=	390 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	390 km ÷ 65 $\frac{km}{h}$
		=	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	→	144 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 144 km
		=	432 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	432 km ÷ 72 $\frac{km}{h}$
		=	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	→	54 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 54 km
		=	216 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	216 km ÷ 54 $\frac{km}{h}$
		=	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	→	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

10)

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