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.

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 96 $\frac{km}{h.}$ 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:_______________

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

Raj 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 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:_______________

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 84 $\frac{km}{h.}$ 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:_______________

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 82 $\frac{km}{h.}$ 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:_______________

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:_______________

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 96 $\frac{km}{h.}$ 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:_______________

Raj 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 97 $\frac{km}{h.}$ Given that his average speed for the whole journey is 45 $\frac{km}{h}$ and the entire journey took 10 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 78 $\frac{km}{h.}$ 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:_______________

10)

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 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:_______________

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 Aravindh's journey	→	120 km ÷ 2 $\frac{1}{2}$ h
		=	48 $\frac{km}{h}$

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 Murugan's journey	→	200 km ÷ 2 $\frac{1}{2}$ h
		=	80 $\frac{km}{h}$

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 Raj's journey	→	140 km ÷ 2 $\frac{1}{2}$ h
		=	56 $\frac{km}{h}$

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 Chidambaram's journey	→	280 km ÷ 2 $\frac{1}{2}$ h
		=	112 $\frac{km}{h}$

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

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: 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: 72 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Total distance	→	45 $\frac{km}{h}$ x 10 h
		=	450 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 450 km
		=	180 km

Step 4:	Speed for the first part of Raj's journey	→	180 km ÷ 2 $\frac{1}{2}$ h
		=	72 $\frac{km}{h}$

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

10)

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 $\frac{km}{h}$