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 135 km in 2 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer:_______________

A car travels 173 km in 3 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

A car travels 107 km in 5 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer:_______________

A car travels 152 km in 5 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer:_______________

A car travels 146 km in 4 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer:_______________

A car travels 172 km in 2 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer:_______________

A car travels 182 km in 5 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer:_______________

A car travels 178 km in 5 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer:_______________

A car travels 103 km in 4 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer:_______________

10)

A car travels 161 km in 5 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

A car travels 135 km in 2 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 473 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	135
7 (y)	(a)

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

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

$\frac{2}{7}$ = $\frac{135}{a}$

a = (135 x 7)/ 2

= $\frac{945}{2}$

= 473

Distance travelled in 7 hrs = 473 km

A car travels 173 km in 3 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 519 km

SOLUTION 1 :

Given :

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

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

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

$\frac{3}{9}$ = $\frac{173}{a}$

a = (173 x 9)/ 3

= $\frac{1557}{3}$

= 519

Distance travelled in 9 hrs = 519 km

A car travels 107 km in 5 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer: 171 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	107
8 (y)	(a)

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

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

$\frac{5}{8}$ = $\frac{107}{a}$

a = (107 x 8)/ 5

= $\frac{856}{5}$

= 171

Distance travelled in 8 hrs = 171 km

A car travels 152 km in 5 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer: 304 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	152
10 (y)	(a)

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

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

$\frac{5}{10}$ = $\frac{152}{a}$

a = (152 x 10)/ 5

= $\frac{1520}{5}$

= 304

Distance travelled in 10 hrs = 304 km

A car travels 146 km in 4 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer: 365 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
4 (x)	146
10 (y)	(a)

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

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

$\frac{4}{10}$ = $\frac{146}{a}$

a = (146 x 10)/ 4

= $\frac{1460}{4}$

= 365

Distance travelled in 10 hrs = 365 km

A car travels 172 km in 2 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 602 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	172
7 (y)	(a)

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

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

$\frac{2}{7}$ = $\frac{172}{a}$

a = (172 x 7)/ 2

= $\frac{1204}{2}$

= 602

Distance travelled in 7 hrs = 602 km

A car travels 182 km in 5 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer: 364 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	182
10 (y)	(a)

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

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

$\frac{5}{10}$ = $\frac{182}{a}$

a = (182 x 10)/ 5

= $\frac{1820}{5}$

= 364

Distance travelled in 10 hrs = 364 km

A car travels 178 km in 5 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 214 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	178
6 (y)	(a)

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

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

$\frac{5}{6}$ = $\frac{178}{a}$

a = (178 x 6)/ 5

= $\frac{1068}{5}$

= 214

Distance travelled in 6 hrs = 214 km

A car travels 103 km in 4 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 180 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
4 (x)	103
7 (y)	(a)

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

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

$\frac{4}{7}$ = $\frac{103}{a}$

a = (103 x 7)/ 4

= $\frac{721}{4}$

= 180

Distance travelled in 7 hrs = 180 km

10)

A car travels 161 km in 5 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 290 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	161
9 (y)	(a)

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

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

$\frac{5}{9}$ = $\frac{161}{a}$

a = (161 x 9)/ 5

= $\frac{1449}{5}$

= 290

Distance travelled in 9 hrs = 290 km