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.

Selvan drove from Happy city to Jubilant city.
He travelled $\frac{4}{5}$ of his journey at an average speed of $\frac{53km}{h}$ and completed the remaining 53 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 $\frac{71km}{h}$ and completed the remaining 71 km in 1h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

Barathan drove from Happy city to Jubilant city.
He travelled $\frac{4}{5}$ of his journey at an average speed of $\frac{70km}{h}$ and completed the remaining 140 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 $\frac{71km}{h}$ and completed the remaining 142 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 $\frac{47km}{h}$ and completed the remaining 47 km in 1h 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 $\frac{3}{5}$ 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:_______________

Narayanan 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 112 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 $\frac{2}{5}$ 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:_______________

Raj drove from Happy city to Jubilant city.
He travelled $\frac{2}{5}$ of his journey at an average speed of $\frac{46km}{h}$ and completed the remaining 46 km in 1h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

10)

Prem 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 102 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	→	53 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 53 km
		=	212 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	212 km ÷ 53 $\frac{km}{h}$
		=	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	→	71 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 71 km
		=	284 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	284 km ÷ 71 $\frac{km}{h}$
		=	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	→	140 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 140 km
		=	560 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	560 km ÷ 70 $\frac{km}{h}$
		=	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	→	142 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 142 km
		=	568 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	568 km ÷ 71 $\frac{km}{h}$
		=	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	→	47 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 47 km
		=	141 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	141 km ÷ 47 $\frac{km}{h}$
		=	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
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 148 km
		=	444 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	444 km ÷ 74 $\frac{km}{h}$
		=	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	→	112 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 112 km
		=	224 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	224 km ÷ 56 $\frac{km}{h}$
		=	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	→	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	→	46 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 46 km
		=	92 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	92 km ÷ 46 $\frac{km}{h}$
		=	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	→	102 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 102 km
		=	204 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	204 km ÷ 51 $\frac{km}{h}$
		=	4 h

Step 3:	Total travel time	→	4 h + 2 h 45 min
		=	6 h 45 min