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.

Narayanan 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 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 99 $\frac{km}{h.}$ 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:_______________

Murugan 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 86 $\frac{km}{h.}$ Given that his average speed for the whole journey is 55 $\frac{km}{h}$ and the entire journey took 10 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 86 $\frac{km}{h.}$ Given that his average speed for the whole journey is 50 $\frac{km}{h}$ and the entire journey took 10 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 94 $\frac{km}{h.}$ 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:_______________

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 93 $\frac{km}{h.}$ Given that his average speed for the whole journey is 55 $\frac{km}{h}$ and the entire journey took 10 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 98 $\frac{km}{h.}$ Given that his average speed for the whole journey is 65 $\frac{km}{h}$ and the entire journey took 5 h, calculate his speed for the first part of his journey.

$\frac{km}{h}$

Answer:_______________

Chidambaram 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 65 $\frac{km}{h}$ 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 70 $\frac{km}{h}$ and the entire journey took 5 h, calculate his speed for the first part of his journey.

$\frac{km}{h}$

Answer:_______________

10)

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 87 $\frac{km}{h.}$ 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:_______________

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 Narayanan's journey	→	150 km ÷ 2 $\frac{1}{2}$ h
		=	60 $\frac{km}{h}$

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 Prem's journey	→	100 km ÷ 2 $\frac{1}{2}$ h
		=	40 $\frac{km}{h}$

Answer: 88 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Total distance	→	55 $\frac{km}{h}$ x 10 h
		=	550 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 550 km
		=	220 km

Step 4:	Speed for the first part of Murugan's journey	→	220 km ÷ 2 $\frac{1}{2}$ h
		=	88 $\frac{km}{h}$

Answer: 80 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Total distance	→	50 $\frac{km}{h}$ x 10 h
		=	500 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 500 km
		=	200 km

Step 4:	Speed for the first part of Aravindh's journey	→	200 km ÷ 2 $\frac{1}{2}$ h
		=	80 $\frac{km}{h}$

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 Kumar's journey	→	110 km ÷ 2 $\frac{1}{2}$ h
		=	44 $\frac{km}{h}$

Answer: 88 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Total distance	→	55 $\frac{km}{h}$ x 10 h
		=	550 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 550 km
		=	220 km

Step 4:	Speed for the first part of Aravindh's journey	→	220 km ÷ 2 $\frac{1}{2}$ h
		=	88 $\frac{km}{h}$

Answer: 52 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Total distance	→	65 $\frac{km}{h}$ x 5 h
		=	325 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 325 km
		=	130 km

Step 4:	Speed for the first part of Barathan's journey	→	130 km ÷ 2 $\frac{1}{2}$ h
		=	52 $\frac{km}{h}$

Answer: 52 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Total distance	→	65 $\frac{km}{h}$ x 5 h
		=	325 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 325 km
		=	130 km

Step 4:	Speed for the first part of Chidambaram's journey	→	130 km ÷ 2 $\frac{1}{2}$ h
		=	52 $\frac{km}{h}$

Answer: 56 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Total distance	→	70 $\frac{km}{h}$ x 5 h
		=	350 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 350 km
		=	140 km

Step 4:	Speed for the first part of Kumar's journey	→	140 km ÷ 2 $\frac{1}{2}$ h
		=	56 $\frac{km}{h}$

10)

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 Kalai's journey	→	110 km ÷ 2 $\frac{1}{2}$ h
		=	44 $\frac{km}{h}$