Sasi Math (Revised for 1024)

Scroll:Distance, Time and Speed >> Distance, Time & Speed >> ps (2721)

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.

A car took 3 hours to complete the last $\frac{3}{4}$ of a journey at an average speed of 72 $\frac{km}{h.}$ Its average speed for the whole journey was 48 $\frac{km}{h.}$ Find the total time taken for the whole journey.

Answer:_______________

A car took 4 hours to complete the last $\frac{3}{4}$ of a journey at an average speed of 54 $\frac{km}{h.}$ Its average speed for the whole journey was 48 $\frac{km}{h.}$ Find the total time taken for the whole journey.

Answer:_______________

A car took 3 hours to complete the last $\frac{3}{4}$ of a journey at an average speed of 81 $\frac{km}{h.}$ Its average speed for the whole journey was 64.8 $\frac{km}{h.}$ Find the total time taken for the whole journey.

Answer:_______________

A car took 3 hours to complete the last $\frac{3}{4}$ of a journey at an average speed of 63 $\frac{km}{h.}$ Its average speed for the whole journey was 42 $\frac{km}{h.}$ Find the total time taken for the whole journey.

Answer:_______________

A car took 3 hours to complete the last $\frac{3}{4}$ of a journey at an average speed of 63 $\frac{km}{h.}$ Its average speed for the whole journey was 50.4 $\frac{km}{h.}$ Find the total time taken for the whole journey.

Answer:_______________

A car took 4 hours to complete the last $\frac{3}{4}$ of a journey at an average speed of 81 $\frac{km}{h.}$ Its average speed for the whole journey was 86.4 $\frac{km}{h.}$ Find the total time taken for the whole journey.

Answer:_______________

A car took 4 hours to complete the last $\frac{3}{4}$ of a journey at an average speed of 81 $\frac{km}{h.}$ Its average speed for the whole journey was 72 $\frac{km}{h.}$ Find the total time taken for the whole journey.

Answer:_______________

A car took 4 hours to complete the last $\frac{3}{4}$ of a journey at an average speed of 63 $\frac{km}{h.}$ Its average speed for the whole journey was 67.2 $\frac{km}{h.}$ Find the total time taken for the whole journey.

Answer:_______________

A car took 4 hours to complete the last $\frac{3}{4}$ of a journey at an average speed of 72 $\frac{km}{h.}$ Its average speed for the whole journey was 76.8 $\frac{km}{h.}$ Find the total time taken for the whole journey.

Answer:_______________

10)

A car took 3 hours to complete the last $\frac{3}{4}$ of a journey at an average speed of 72 $\frac{km}{h.}$ Its average speed for the whole journey was 57.6 $\frac{km}{h.}$ Find the total time taken for the whole journey.

Answer:_______________

Answer: 6 h

SOLUTION 1 :

Step 1:	1 h	→	72 km
	3 h	→	3 x 72 km
		=	216 km

Step 2:	$\frac{3}{4}$ of the journey	→	216 km
	$\frac{1}{4}$ of the journey	ï»¿→	216 km ÷ 3
		=	72 km
	$\frac{4}{4}$ of the journey	→	4 x 72 km
		=	288 km

Step 3:	Total time taken	→	288 km ÷ 48 $\frac{km}{h}$
		=	6 h

Answer: 6 h

SOLUTION 1 :

Step 1:	1 h	→	54 km
	4 h	→	4 x 54 km
		=	216 km

Step 2:	$\frac{3}{4}$ of the journey	→	216 km
	$\frac{1}{4}$ of the journey	ï»¿→	216 km ÷ 3
		=	72 km
	$\frac{4}{4}$ of the journey	→	4 x 72 km
		=	288 km

Step 3:	Total time taken	→	288 km ÷ 48 $\frac{km}{h}$
		=	6 h

Answer: 5 h

SOLUTION 1 :

Step 1:	1 h	→	81 km
	3 h	→	3 x 81 km
		=	243 km

Step 2:	$\frac{3}{4}$ of the journey	→	243 km
	$\frac{1}{4}$ of the journey	ï»¿→	243 km ÷ 3
		=	81 km
	$\frac{4}{4}$ of the journey	→	4 x 81 km
		=	324 km

Step 3:	Total time taken	→	324 km ÷ 64.8 $\frac{km}{h}$
		=	5 h

Answer: 6 h

SOLUTION 1 :

Step 1:	1 h	→	63 km
	3 h	→	3 x 63 km
		=	189 km

Step 2:	$\frac{3}{4}$ of the journey	→	189 km
	$\frac{1}{4}$ of the journey	ï»¿→	189 km ÷ 3
		=	63 km
	$\frac{4}{4}$ of the journey	→	4 x 63 km
		=	252 km

Step 3:	Total time taken	→	252 km ÷ 42 $\frac{km}{h}$
		=	6 h

Answer: 5 h

SOLUTION 1 :

Step 1:	1 h	→	63 km
	3 h	→	3 x 63 km
		=	189 km

Step 2:	$\frac{3}{4}$ of the journey	→	189 km
	$\frac{1}{4}$ of the journey	ï»¿→	189 km ÷ 3
		=	63 km
	$\frac{4}{4}$ of the journey	→	4 x 63 km
		=	252 km

Step 3:	Total time taken	→	252 km ÷ 50.4 $\frac{km}{h}$
		=	5 h

Answer: 5 h

SOLUTION 1 :

Step 1:	1 h	→	81 km
	4 h	→	4 x 81 km
		=	324 km

Step 2:	$\frac{3}{4}$ of the journey	→	324 km
	$\frac{1}{4}$ of the journey	ï»¿→	324 km ÷ 3
		=	108 km
	$\frac{4}{4}$ of the journey	→	4 x 108 km
		=	432 km

Step 3:	Total time taken	→	432 km ÷ 86.4 $\frac{km}{h}$
		=	5 h

Answer: 6 h

SOLUTION 1 :

Step 1:	1 h	→	81 km
	4 h	→	4 x 81 km
		=	324 km

Step 2:	$\frac{3}{4}$ of the journey	→	324 km
	$\frac{1}{4}$ of the journey	ï»¿→	324 km ÷ 3
		=	108 km
	$\frac{4}{4}$ of the journey	→	4 x 108 km
		=	432 km

Step 3:	Total time taken	→	432 km ÷ 72 $\frac{km}{h}$
		=	6 h

Answer: 5 h

SOLUTION 1 :

Step 1:	1 h	→	63 km
	4 h	→	4 x 63 km
		=	252 km

Step 2:	$\frac{3}{4}$ of the journey	→	252 km
	$\frac{1}{4}$ of the journey	ï»¿→	252 km ÷ 3
		=	84 km
	$\frac{4}{4}$ of the journey	→	4 x 84 km
		=	336 km

Step 3:	Total time taken	→	336 km ÷ 67.2 $\frac{km}{h}$
		=	5 h

Answer: 5 h

SOLUTION 1 :

Step 1:	1 h	→	72 km
	4 h	→	4 x 72 km
		=	288 km

Step 2:	$\frac{3}{4}$ of the journey	→	288 km
	$\frac{1}{4}$ of the journey	ï»¿→	288 km ÷ 3
		=	96 km
	$\frac{4}{4}$ of the journey	→	4 x 96 km
		=	384 km

Step 3:	Total time taken	→	384 km ÷ 76.8 $\frac{km}{h}$
		=	5 h

10)

Answer: 5 h

SOLUTION 1 :

Step 1:	1 h	→	72 km
	3 h	→	3 x 72 km
		=	216 km

Step 2:	$\frac{3}{4}$ of the journey	→	216 km
	$\frac{1}{4}$ of the journey	ï»¿→	216 km ÷ 3
		=	72 km
	$\frac{4}{4}$ of the journey	→	4 x 72 km
		=	288 km

Step 3:	Total time taken	→	288 km ÷ 57.6 $\frac{km}{h}$
		=	5 h