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 165 km in 4 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer:_______________

A car travels 132 km in 5 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer:_______________

A car travels 134 km in 5 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer:_______________

A car travels 173 km in 2 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

A car travels 108 km in 5 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer:_______________

A car travels 105 km in 3 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

A car travels 139 km in 5 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer:_______________

A car travels 159 km in 3 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer:_______________

A car travels 110 km in 2 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer:_______________

10)

A car travels 120 km in 3 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

A car travels 165 km in 4 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 289 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
4 (x)	165
7 (y)	(a)

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

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

$\frac{4}{7}$ = $\frac{165}{a}$

a = (165 x 7)/ 4

= $\frac{1155}{4}$

= 289

Distance travelled in 7 hrs = 289 km

A car travels 132 km in 5 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer: 211 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	132
8 (y)	(a)

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

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

$\frac{5}{8}$ = $\frac{132}{a}$

a = (132 x 8)/ 5

= $\frac{1056}{5}$

= 211

Distance travelled in 8 hrs = 211 km

A car travels 134 km in 5 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer: 214 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	134
8 (y)	(a)

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

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

$\frac{5}{8}$ = $\frac{134}{a}$

a = (134 x 8)/ 5

= $\frac{1072}{5}$

= 214

Distance travelled in 8 hrs = 214 km

A car travels 173 km in 2 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 779 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	173
9 (y)	(a)

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

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

$\frac{2}{9}$ = $\frac{173}{a}$

a = (173 x 9)/ 2

= $\frac{1557}{2}$

= 779

Distance travelled in 9 hrs = 779 km

A car travels 108 km in 5 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 130 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	108
6 (y)	(a)

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

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

$\frac{5}{6}$ = $\frac{108}{a}$

a = (108 x 6)/ 5

= $\frac{648}{5}$

= 130

Distance travelled in 6 hrs = 130 km

A car travels 105 km in 3 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 315 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	105
9 (y)	(a)

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

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

$\frac{3}{9}$ = $\frac{105}{a}$

a = (105 x 9)/ 3

= $\frac{945}{3}$

= 315

Distance travelled in 9 hrs = 315 km

A car travels 139 km in 5 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer: 278 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	139
10 (y)	(a)

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

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

$\frac{5}{10}$ = $\frac{139}{a}$

a = (139 x 10)/ 5

= $\frac{1390}{5}$

= 278

Distance travelled in 10 hrs = 278 km

A car travels 159 km in 3 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 318 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	159
6 (y)	(a)

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

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

$\frac{3}{6}$ = $\frac{159}{a}$

a = (159 x 6)/ 3

= $\frac{954}{3}$

= 318

Distance travelled in 6 hrs = 318 km

A car travels 110 km in 2 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 385 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	110
7 (y)	(a)

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

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

$\frac{2}{7}$ = $\frac{110}{a}$

a = (110 x 7)/ 2

= $\frac{770}{2}$

= 385

Distance travelled in 7 hrs = 385 km

10)

A car travels 120 km in 3 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 360 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	120
9 (y)	(a)

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

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

$\frac{3}{9}$ = $\frac{120}{a}$

a = (120 x 9)/ 3

= $\frac{1080}{3}$

= 360

Distance travelled in 9 hrs = 360 km