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 $\frac{4}{5}$ 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:_______________

Aravindh 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:_______________

Balaji 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:_______________

Balaji 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 57 km in 1h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

Karna 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 58 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 $\frac{52km}{h}$ 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:_______________

Chidambaram drove from Happy city to Jubilant city.
He travelled $\frac{2}{5}$ of his journey at an average speed of $\frac{61km}{h}$ and completed the remaining 61 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 $\frac{55km}{h}$ 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:_______________

Narayanan 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:_______________

10)

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

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	132 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 132 km
		=	528 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	528 km ÷ 66 $\frac{km}{h}$
		=	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	→	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	→	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

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	57 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 57 km
		=	228 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	228 km ÷ 57 $\frac{km}{h}$
		=	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	→	58 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 58 km
		=	232 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	232 km ÷ 58 $\frac{km}{h}$
		=	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	→	52 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 52 km
		=	208 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	208 km ÷ 52 $\frac{km}{h}$
		=	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	→	61 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 61 km
		=	122 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	122 km ÷ 61 $\frac{km}{h}$
		=	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	→	55 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 55 km
		=	165 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	165 km ÷ 55 $\frac{km}{h}$
		=	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	→	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

10)

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	63 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 63 km
		=	126 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	126 km ÷ 63 $\frac{km}{h}$
		=	2 h

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