Sasi Math (Revised for 1024)

Scroll:Life Mathematics >> Life Mathematics - variation >> saq (4329)

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.

A car travels 157 km in 4 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer:_______________

A car travels 159 km in 2 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer:_______________

A car travels 200 km in 4 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

A car travels 191 km in 5 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer:_______________

A car travels 140 km in 2 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer:_______________

A car travels 163 km in 4 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer:_______________

A car travels 174 km in 4 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer:_______________

A car travels 180 km in 5 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer:_______________

A car travels 142 km in 2 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

10)

A car travels 129 km in 3 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer:_______________

A car travels 157 km in 4 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 236 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
4 (x)	157
6 (y)	(a)

As time taken increases, distance travelled also increases, direct variation.

So, $\frac{x}{y}$ = Constant

$\frac{4}{6}$ = $\frac{157}{a}$

a = (157 x 6)/ 4

= $\frac{942}{4}$

= 236

Distance travelled in 6 hrs = 236 km

A car travels 159 km in 2 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer: 795 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	159
10 (y)	(a)

As time taken increases, distance travelled also increases, direct variation.

So, $\frac{x}{y}$ = Constant

$\frac{2}{10}$ = $\frac{159}{a}$

a = (159 x 10)/ 2

= $\frac{1590}{2}$

= 795

Distance travelled in 10 hrs = 795 km

A car travels 200 km in 4 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 450 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
4 (x)	200
9 (y)	(a)

As time taken increases, distance travelled also increases, direct variation.

So, $\frac{x}{y}$ = Constant

$\frac{4}{9}$ = $\frac{200}{a}$

a = (200 x 9)/ 4

= $\frac{1800}{4}$

= 450

Distance travelled in 9 hrs = 450 km

A car travels 191 km in 5 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer: 306 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	191
8 (y)	(a)

As time taken increases, distance travelled also increases, direct variation.

So, $\frac{x}{y}$ = Constant

$\frac{5}{8}$ = $\frac{191}{a}$

a = (191 x 8)/ 5

= $\frac{1528}{5}$

= 306

Distance travelled in 8 hrs = 306 km

A car travels 140 km in 2 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 490 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	140
7 (y)	(a)

As time taken increases, distance travelled also increases, direct variation.

So, $\frac{x}{y}$ = Constant

$\frac{2}{7}$ = $\frac{140}{a}$

a = (140 x 7)/ 2

= $\frac{980}{2}$

= 490

Distance travelled in 7 hrs = 490 km

A car travels 163 km in 4 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer: 408 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
4 (x)	163
10 (y)	(a)

As time taken increases, distance travelled also increases, direct variation.

So, $\frac{x}{y}$ = Constant

$\frac{4}{10}$ = $\frac{163}{a}$

a = (163 x 10)/ 4

= $\frac{1630}{4}$

= 408

Distance travelled in 10 hrs = 408 km

A car travels 174 km in 4 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 261 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
4 (x)	174
6 (y)	(a)

As time taken increases, distance travelled also increases, direct variation.

So, $\frac{x}{y}$ = Constant

$\frac{4}{6}$ = $\frac{174}{a}$

a = (174 x 6)/ 4

= $\frac{1044}{4}$

= 261

Distance travelled in 6 hrs = 261 km

A car travels 180 km in 5 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer: 288 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	180
8 (y)	(a)

As time taken increases, distance travelled also increases, direct variation.

So, $\frac{x}{y}$ = Constant

$\frac{5}{8}$ = $\frac{180}{a}$

a = (180 x 8)/ 5

= $\frac{1440}{5}$

= 288

Distance travelled in 8 hrs = 288 km

A car travels 142 km in 2 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 639 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	142
9 (y)	(a)

As time taken increases, distance travelled also increases, direct variation.

So, $\frac{x}{y}$ = Constant

$\frac{2}{9}$ = $\frac{142}{a}$

a = (142 x 9)/ 2

= $\frac{1278}{2}$

= 639

Distance travelled in 9 hrs = 639 km

10)

A car travels 129 km in 3 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer: 430 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	129
10 (y)	(a)

As time taken increases, distance travelled also increases, direct variation.

So, $\frac{x}{y}$ = Constant

$\frac{3}{10}$ = $\frac{129}{a}$

a = (129 x 10)/ 3

= $\frac{1290}{3}$

= 430

Distance travelled in 10 hrs = 430 km