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 142 km in 3 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer:_______________

A car travels 119 km in 5 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer:_______________

A car travels 134 km in 3 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

A car travels 136 km in 4 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer:_______________

A car travels 103 km in 2 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

A car travels 133 km in 4 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer:_______________

A car travels 165 km in 3 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

A car travels 162 km in 3 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer:_______________

A car travels 102 km in 5 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

10)

A car travels 121 km in 2 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer:_______________

A car travels 142 km in 3 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 284 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	142
6 (y)	(a)

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

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

$\frac{3}{6}$ = $\frac{142}{a}$

a = (142 x 6)/ 3

= $\frac{852}{3}$

= 284

Distance travelled in 6 hrs = 284 km

A car travels 119 km in 5 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 143 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	119
6 (y)	(a)

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

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

$\frac{5}{6}$ = $\frac{119}{a}$

a = (119 x 6)/ 5

= $\frac{714}{5}$

= 143

Distance travelled in 6 hrs = 143 km

A car travels 134 km in 3 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 402 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	134
9 (y)	(a)

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

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

$\frac{3}{9}$ = $\frac{134}{a}$

a = (134 x 9)/ 3

= $\frac{1206}{3}$

= 402

Distance travelled in 9 hrs = 402 km

A car travels 136 km in 4 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 238 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
4 (x)	136
7 (y)	(a)

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

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

$\frac{4}{7}$ = $\frac{136}{a}$

a = (136 x 7)/ 4

= $\frac{952}{4}$

= 238

Distance travelled in 7 hrs = 238 km

A car travels 103 km in 2 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 464 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	103
9 (y)	(a)

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

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

$\frac{2}{9}$ = $\frac{103}{a}$

a = (103 x 9)/ 2

= $\frac{927}{2}$

= 464

Distance travelled in 9 hrs = 464 km

A car travels 133 km in 4 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 200 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
4 (x)	133
6 (y)	(a)

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

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

$\frac{4}{6}$ = $\frac{133}{a}$

a = (133 x 6)/ 4

= $\frac{798}{4}$

= 200

Distance travelled in 6 hrs = 200 km

A car travels 165 km in 3 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 495 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	165
9 (y)	(a)

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

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

$\frac{3}{9}$ = $\frac{165}{a}$

a = (165 x 9)/ 3

= $\frac{1485}{3}$

= 495

Distance travelled in 9 hrs = 495 km

A car travels 162 km in 3 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer: 540 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	162
10 (y)	(a)

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

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

$\frac{3}{10}$ = $\frac{162}{a}$

a = (162 x 10)/ 3

= $\frac{1620}{3}$

= 540

Distance travelled in 10 hrs = 540 km

A car travels 102 km in 5 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 184 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	102
9 (y)	(a)

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

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

$\frac{5}{9}$ = $\frac{102}{a}$

a = (102 x 9)/ 5

= $\frac{918}{5}$

= 184

Distance travelled in 9 hrs = 184 km

10)

A car travels 121 km in 2 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 424 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	121
7 (y)	(a)

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

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

$\frac{2}{7}$ = $\frac{121}{a}$

a = (121 x 7)/ 2

= $\frac{847}{2}$

= 424

Distance travelled in 7 hrs = 424 km