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 127 km in 3 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

A car travels 139 km in 2 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer:_______________

A car travels 183 km in 3 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer:_______________

A car travels 169 km in 3 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer:_______________

A car travels 120 km in 2 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer:_______________

A car travels 188 km in 2 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

A car travels 147 km in 2 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer:_______________

A car travels 111 km in 5 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

A car travels 129 km in 5 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer:_______________

10)

A car travels 135 km in 5 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer:_______________

A car travels 127 km in 3 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 381 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	127
9 (y)	(a)

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

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

$\frac{3}{9}$ = $\frac{127}{a}$

a = (127 x 9)/ 3

= $\frac{1143}{3}$

= 381

Distance travelled in 9 hrs = 381 km

A car travels 139 km in 2 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 487 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	139
7 (y)	(a)

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

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

$\frac{2}{7}$ = $\frac{139}{a}$

a = (139 x 7)/ 2

= $\frac{973}{2}$

= 487

Distance travelled in 7 hrs = 487 km

A car travels 183 km in 3 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 427 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	183
7 (y)	(a)

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

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

$\frac{3}{7}$ = $\frac{183}{a}$

a = (183 x 7)/ 3

= $\frac{1281}{3}$

= 427

Distance travelled in 7 hrs = 427 km

A car travels 169 km in 3 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer: 563 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	169
10 (y)	(a)

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

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

$\frac{3}{10}$ = $\frac{169}{a}$

a = (169 x 10)/ 3

= $\frac{1690}{3}$

= 563

Distance travelled in 10 hrs = 563 km

A car travels 120 km in 2 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer: 480 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	120
8 (y)	(a)

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

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

$\frac{2}{8}$ = $\frac{120}{a}$

a = (120 x 8)/ 2

= $\frac{960}{2}$

= 480

Distance travelled in 8 hrs = 480 km

A car travels 188 km in 2 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 846 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	188
9 (y)	(a)

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

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

$\frac{2}{9}$ = $\frac{188}{a}$

a = (188 x 9)/ 2

= $\frac{1692}{2}$

= 846

Distance travelled in 9 hrs = 846 km

A car travels 147 km in 2 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 515 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	147
7 (y)	(a)

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

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

$\frac{2}{7}$ = $\frac{147}{a}$

a = (147 x 7)/ 2

= $\frac{1029}{2}$

= 515

Distance travelled in 7 hrs = 515 km

A car travels 111 km in 5 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 200 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	111
9 (y)	(a)

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

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

$\frac{5}{9}$ = $\frac{111}{a}$

a = (111 x 9)/ 5

= $\frac{999}{5}$

= 200

Distance travelled in 9 hrs = 200 km

A car travels 129 km in 5 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 155 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	129
6 (y)	(a)

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

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

$\frac{5}{6}$ = $\frac{129}{a}$

a = (129 x 6)/ 5

= $\frac{774}{5}$

= 155

Distance travelled in 6 hrs = 155 km

10)

A car travels 135 km in 5 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer: 216 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	135
8 (y)	(a)

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

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

$\frac{5}{8}$ = $\frac{135}{a}$

a = (135 x 8)/ 5

= $\frac{1080}{5}$

= 216

Distance travelled in 8 hrs = 216 km