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 95 $\frac{km}{h.}$ 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:_______________

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 100 $\frac{km}{h.}$ Given that his average speed for the whole journey is 65 $\frac{km}{h}$ and the entire journey took 10 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 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:_______________

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 95 $\frac{km}{h.}$ 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:_______________

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 76 $\frac{km}{h.}$ Given that his average speed for the whole journey is 65 $\frac{km}{h}$ 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 95 $\frac{km}{h.}$ 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:_______________

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 93 $\frac{km}{h.}$ 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:_______________

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 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:_______________

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 91 $\frac{km}{h.}$ 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)

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 98 $\frac{km}{h.}$ 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:_______________

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

Answer: 104 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Total distance	→	65 $\frac{km}{h}$ x 10 h
		=	650 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 650 km
		=	260 km

Step 4:	Speed for the first part of Narayanan's journey	→	260 km ÷ 2 $\frac{1}{2}$ h
		=	104 $\frac{km}{h}$

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 Prem's journey	→	130 km ÷ 2 $\frac{1}{2}$ h
		=	52 $\frac{km}{h}$

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

Answer: 104 $\frac{km}{h}$

SOLUTION 1 :

Step 1:	Total distance	→	65 $\frac{km}{h}$ x 10 h
		=	650 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 650 km
		=	260 km

Step 4:	Speed for the first part of Sriram's journey	→	260 km ÷ 2 $\frac{1}{2}$ h
		=	104 $\frac{km}{h}$

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 Aravindh's journey	→	90 km ÷ 2 $\frac{1}{2}$ h
		=	36 $\frac{km}{h}$

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 Murugan's journey	→	240 km ÷ 2 $\frac{1}{2}$ h
		=	96 $\frac{km}{h}$

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

10)

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