Sasi Math (Revised for 1024)

Scroll:Distance, Time and Speed >> Distance, Time & Speed >> ps (690)

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.

Kalai drove 2 $\frac{1}{2}$ hours for the first part of his journey and the remaining $\frac{3}{5}$ of the journey at a speed of 91 $\frac{km}{h.}$ Given that his average speed for the whole journey is 60 $\frac{km}{h}$ and the entire journey took 5 h, calculate his speed for the first part of his journey.

$\frac{km}{h}$

Answer:_______________

Prem drove 2 $\frac{1}{2}$ hours for the first part of his journey and the remaining $\frac{3}{5}$ of the journey at a speed of 80 $\frac{km}{h.}$ Given that his average speed for the whole journey is 70 $\frac{km}{h}$ and the entire journey took 10 h, calculate his speed for the first part of his journey.

$\frac{km}{h}$

Answer:_______________

Balaji drove 2 $\frac{1}{2}$ hours for the first part of his journey and the remaining $\frac{3}{5}$ of the journey at a speed of 93 $\frac{km}{h.}$ Given that his average speed for the whole journey is 55 $\frac{km}{h}$ and the entire journey took 5 h, calculate his speed for the first part of his journey.

$\frac{km}{h}$

Answer:_______________

Moorthi drove 2 $\frac{1}{2}$ hours for the first part of his journey and the remaining $\frac{3}{5}$ of the journey at a speed of 83 $\frac{km}{h.}$ Given that his average speed for the whole journey is 55 $\frac{km}{h}$ and the entire journey took 5 h, calculate his speed for the first part of his journey.

$\frac{km}{h}$

Answer:_______________

Anand drove 2 $\frac{1}{2}$ hours for the first part of his journey and the remaining $\frac{3}{5}$ of the journey at a speed of 79 $\frac{km}{h.}$ Given that his average speed for the whole journey is 75 $\frac{km}{h}$ and the entire journey took 5 h, calculate his speed for the first part of his journey.

$\frac{km}{h}$

Answer:_______________

Prem drove 2 $\frac{1}{2}$ hours for the first part of his journey and the remaining $\frac{3}{5}$ of the journey at a speed of 92 $\frac{km}{h.}$ Given that his average speed for the whole journey is 45 $\frac{km}{h}$ and the entire journey took 5 h, calculate his speed for the first part of his journey.

$\frac{km}{h}$

Answer:_______________

Aravindh drove 2 $\frac{1}{2}$ hours for the first part of his journey and the remaining $\frac{3}{5}$ of the journey at a speed of 77 $\frac{km}{h.}$ Given that his average speed for the whole journey is 50 $\frac{km}{h}$ and the entire journey took 5 h, calculate his speed for the first part of his journey.

$\frac{km}{h}$

Answer:_______________

Barathan drove 2 $\frac{1}{2}$ hours for the first part of his journey and the remaining $\frac{3}{5}$ of the journey at a speed of 78 $\frac{km}{h.}$ Given that his average speed for the whole journey is 45 $\frac{km}{h}$ and the entire journey took 5 h, calculate his speed for the first part of his journey.

$\frac{km}{h}$

Answer:_______________

Kumar drove 2 $\frac{1}{2}$ hours for the first part of his journey and the remaining $\frac{3}{5}$ of the journey at a speed of 89 $\frac{km}{h.}$ Given that his average speed for the whole journey is 60 $\frac{km}{h}$ and the entire journey took 5 h, calculate his speed for the first part of his journey.

$\frac{km}{h}$

Answer:_______________

10)

Sriram drove 2 $\frac{1}{2}$ hours for the first part of his journey and the remaining $\frac{3}{5}$ of the journey at a speed of 99 $\frac{km}{h.}$ Given that his average speed for the whole journey is 60 $\frac{km}{h}$ and the entire journey took 5 h, calculate his speed for the first part of his journey.

$\frac{km}{h}$

Answer:_______________

Answer: 48 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Total distance	→	60 $\frac{km}{h}$ x 5 h
		=	300 km

Step 2: 1 - $\frac{3}{5}$ = $\frac{2}{5}$

Step 3:	Distance travelled in the first $\frac{2}{5}$ of the journey	→	$\frac{2}{5}$ x 300 km
		=	120 km

Step 4:	Speed for the first part of Kalai's journey	→	120 km ÷ 2 $\frac{1}{2}$ h
		=	48 $\frac{km}{h}$

Answer: 112 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Total distance	→	70 $\frac{km}{h}$ x 10 h
		=	700 km

Step 2: 1 - $\frac{3}{5}$ = $\frac{2}{5}$

Step 3:	Distance travelled in the first $\frac{2}{5}$ of the journey	→	$\frac{2}{5}$ x 700 km
		=	280 km

Step 4:	Speed for the first part of Prem's journey	→	280 km ÷ 2 $\frac{1}{2}$ h
		=	112 $\frac{km}{h}$

Answer: 44 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Total distance	→	55 $\frac{km}{h}$ x 5 h
		=	275 km

Step 2: 1 - $\frac{3}{5}$ = $\frac{2}{5}$

Step 3:	Distance travelled in the first $\frac{2}{5}$ of the journey	→	$\frac{2}{5}$ x 275 km
		=	110 km

Step 4:	Speed for the first part of Balaji's journey	→	110 km ÷ 2 $\frac{1}{2}$ h
		=	44 $\frac{km}{h}$

Answer: 44 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Total distance	→	55 $\frac{km}{h}$ x 5 h
		=	275 km

Step 2: 1 - $\frac{3}{5}$ = $\frac{2}{5}$

Step 3:	Distance travelled in the first $\frac{2}{5}$ of the journey	→	$\frac{2}{5}$ x 275 km
		=	110 km

Step 4:	Speed for the first part of Moorthi's journey	→	110 km ÷ 2 $\frac{1}{2}$ h
		=	44 $\frac{km}{h}$

Answer: 60 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Total distance	→	75 $\frac{km}{h}$ x 5 h
		=	375 km

Step 2: 1 - $\frac{3}{5}$ = $\frac{2}{5}$

Step 3:	Distance travelled in the first $\frac{2}{5}$ of the journey	→	$\frac{2}{5}$ x 375 km
		=	150 km

Step 4:	Speed for the first part of Anand's journey	→	150 km ÷ 2 $\frac{1}{2}$ h
		=	60 $\frac{km}{h}$

Answer: 36 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Total distance	→	45 $\frac{km}{h}$ x 5 h
		=	225 km

Step 2: 1 - $\frac{3}{5}$ = $\frac{2}{5}$

Step 3:	Distance travelled in the first $\frac{2}{5}$ of the journey	→	$\frac{2}{5}$ x 225 km
		=	90 km

Step 4:	Speed for the first part of Prem's journey	→	90 km ÷ 2 $\frac{1}{2}$ h
		=	36 $\frac{km}{h}$

Answer: 40 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Total distance	→	50 $\frac{km}{h}$ x 5 h
		=	250 km

Step 2: 1 - $\frac{3}{5}$ = $\frac{2}{5}$

Step 3:	Distance travelled in the first $\frac{2}{5}$ of the journey	→	$\frac{2}{5}$ x 250 km
		=	100 km

Step 4:	Speed for the first part of Aravindh's journey	→	100 km ÷ 2 $\frac{1}{2}$ h
		=	40 $\frac{km}{h}$

Answer: 36 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Total distance	→	45 $\frac{km}{h}$ x 5 h
		=	225 km

Step 2: 1 - $\frac{3}{5}$ = $\frac{2}{5}$

Step 3:	Distance travelled in the first $\frac{2}{5}$ of the journey	→	$\frac{2}{5}$ x 225 km
		=	90 km

Step 4:	Speed for the first part of Barathan's journey	→	90 km ÷ 2 $\frac{1}{2}$ h
		=	36 $\frac{km}{h}$

Answer: 48 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Total distance	→	60 $\frac{km}{h}$ x 5 h
		=	300 km

Step 2: 1 - $\frac{3}{5}$ = $\frac{2}{5}$

Step 3:	Distance travelled in the first $\frac{2}{5}$ of the journey	→	$\frac{2}{5}$ x 300 km
		=	120 km

Step 4:	Speed for the first part of Kumar's journey	→	120 km ÷ 2 $\frac{1}{2}$ h
		=	48 $\frac{km}{h}$

10)

Answer: 48 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Total distance	→	60 $\frac{km}{h}$ x 5 h
		=	300 km

Step 2: 1 - $\frac{3}{5}$ = $\frac{2}{5}$

Step 3:	Distance travelled in the first $\frac{2}{5}$ of the journey	→	$\frac{2}{5}$ x 300 km
		=	120 km

Step 4:	Speed for the first part of Sriram's journey	→	120 km ÷ 2 $\frac{1}{2}$ h
		=	48 $\frac{km}{h}$