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.

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

Barathan 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 116 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 $\frac{4}{5}$ of his journey at an average speed of $\frac{54km}{h}$ and completed the remaining 108 km in 2h 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 $\frac{56km}{h}$ 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:_______________

Pugal 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 92 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 $\frac{4}{5}$ of his journey at an average speed of $\frac{54km}{h}$ and completed the remaining 108 km in 2h 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 $\frac{2}{5}$ 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:_______________

Chidambaram 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 114 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 $\frac{4}{5}$ of his journey at an average speed of $\frac{54km}{h}$ and completed the remaining 108 km in 2h 45 min.
How long did he take to complete the whole journey
Give your answer in hours and minutes.

Answer:_______________

10)

Anand drove from Happy city to Jubilant city.
He travelled $\frac{4}{5}$ of his journey at an average speed of $\frac{49km}{h}$ and completed the remaining 98 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	→	138 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 138 km
		=	414 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	414 km ÷ 69 $\frac{km}{h}$
		=	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	→	116 km
	$\frac{3}{5}$ of the journey	ï»¿→	3 x 116 km
		=	348 km

Step 2:	Time needed to travel the first $\frac{3}{5}$ of the journey	→	348 km ÷ 58 $\frac{km}{h}$
		=	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	→	108 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 108 km
		=	432 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	432 km ÷ 54 $\frac{km}{h}$
		=	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	→	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

SOLUTION 1 :

Step 1:	$\frac{1}{5}$ of the journey	→	92 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 92 km
		=	184 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	184 km ÷ 46 $\frac{km}{h}$
		=	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	→	108 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 108 km
		=	432 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	432 km ÷ 54 $\frac{km}{h}$
		=	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	→	60 km
	$\frac{2}{5}$ of the journey	ï»¿→	2 x 60 km
		=	120 km

Step 2:	Time needed to travel the first $\frac{2}{5}$ of the journey	→	120 km ÷ 60 $\frac{km}{h}$
		=	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	→	114 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 114 km
		=	456 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	456 km ÷ 57 $\frac{km}{h}$
		=	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	→	108 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 108 km
		=	432 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	432 km ÷ 54 $\frac{km}{h}$
		=	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	→	98 km
	$\frac{4}{5}$ of the journey	ï»¿→	4 x 98 km
		=	392 km

Step 2:	Time needed to travel the first $\frac{4}{5}$ of the journey	→	392 km ÷ 49 $\frac{km}{h}$
		=	8 h

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