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 88 $\frac{km}{h.}$ 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:_______________

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 85 $\frac{km}{h.}$ 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:_______________

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

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 94 $\frac{km}{h.}$ 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:_______________

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 94 $\frac{km}{h.}$ 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 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:_______________

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 83 $\frac{km}{h.}$ 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:_______________

Selvan 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 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 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:_______________

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 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:_______________

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

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 Anand's journey	→	260 km ÷ 2 $\frac{1}{2}$ h
		=	104 $\frac{km}{h}$

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

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

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 Prem'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 Narayanan's journey	→	260 km ÷ 2 $\frac{1}{2}$ h
		=	104 $\frac{km}{h}$

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

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