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.

Raj drove from Happy city to Jubilant city.
He travelled $\frac{2}{5}$ 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:_______________

Balaji drove from Happy city to Jubilant city.
He travelled $\frac{2}{5}$ 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:_______________

Prem drove from Happy city to Jubilant city.
He travelled $\frac{4}{5}$ of his journey at an average speed of $\frac{61km}{h}$ and completed the remaining 122 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 $\frac{2}{5}$ 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:_______________

Kumar 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 69 km in 1h 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 $\frac{72km}{h}$ and completed the remaining 72 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 $\frac{67km}{h}$ 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:_______________

Kumar drove from Happy city to Jubilant city.
He travelled $\frac{3}{5}$ of his journey at an average speed of $\frac{57km}{h}$ and completed the remaining 57 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 $\frac{2}{5}$ of his journey at an average speed of $\frac{56km}{h}$ and completed the remaining 56 km in 1h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

10)

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

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	67 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 67 km
		=	134 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	134 km ÷ 67 $\frac{km}{h}$
		=	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	→	49 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 49 km
		=	98 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	98 km ÷ 49 $\frac{km}{h}$
		=	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	→	122 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 122 km
		=	488 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	488 km ÷ 61 $\frac{km}{h}$
		=	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	→	132 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 132 km
		=	264 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	264 km ÷ 66 $\frac{km}{h}$
		=	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	→	69 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 69 km
		=	138 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	138 km ÷ 69 $\frac{km}{h}$
		=	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	→	72 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 72 km
		=	144 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	144 km ÷ 72 $\frac{km}{h}$
		=	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	→	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	→	57 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 57 km
		=	171 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	171 km ÷ 57 $\frac{km}{h}$
		=	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	→	56 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 56 km
		=	112 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	112 km ÷ 56 $\frac{km}{h}$
		=	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	→	150 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 150 km
		=	600 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	600 km ÷ 75 $\frac{km}{h}$
		=	8 h

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