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.

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 80 $\frac{km}{h.}$ 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:_______________

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 79 $\frac{km}{h.}$ 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:_______________

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 97 $\frac{km}{h.}$ 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:_______________

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 80 $\frac{km}{h.}$ 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:_______________

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 98 $\frac{km}{h.}$ Given that his average speed for the whole journey is 60 $\frac{km}{h}$ and the entire journey took 10 h, calculate his speed for the first part of his journey.

$\frac{km}{h}$

Answer:_______________

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 76 $\frac{km}{h.}$ 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:_______________

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

Karna 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 10 h, calculate his speed for the first part of his journey.

$\frac{km}{h}$

Answer:_______________

Pugal 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 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:_______________

10)

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 87 $\frac{km}{h.}$ 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: 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: 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 Murugan's journey	→	90 km ÷ 2 $\frac{1}{2}$ h
		=	36 $\frac{km}{h}$

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

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

SOLUTION 1 :

Step 1:	Total distance	→	60 $\frac{km}{h}$ x 10 h
		=	600 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 600 km
		=	240 km

Step 4:	Speed for the first part of Prem's journey	→	240 km ÷ 2 $\frac{1}{2}$ h
		=	96 $\frac{km}{h}$

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

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 Raj'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 Karna's journey	→	180 km ÷ 2 $\frac{1}{2}$ h
		=	72 $\frac{km}{h}$

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

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