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 162 km in 3 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer:_______________

A car travels 194 km in 3 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer:_______________

A car travels 130 km in 4 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer:_______________

A car travels 143 km in 3 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer:_______________

A car travels 112 km in 4 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer:_______________

A car travels 175 km in 5 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

A car travels 168 km in 2 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer:_______________

A car travels 162 km in 5 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer:_______________

A car travels 125 km in 2 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer:_______________

10)

A car travels 131 km in 5 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer:_______________

A car travels 162 km in 3 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 378 km

SOLUTION 1 :

Given :

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

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

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

$\frac{3}{7}$ = $\frac{162}{a}$

a = (162 x 7)/ 3

= $\frac{1134}{3}$

= 378

Distance travelled in 7 hrs = 378 km

A car travels 194 km in 3 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 388 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	194
6 (y)	(a)

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

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

$\frac{3}{6}$ = $\frac{194}{a}$

a = (194 x 6)/ 3

= $\frac{1164}{3}$

= 388

Distance travelled in 6 hrs = 388 km

A car travels 130 km in 4 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer: 260 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
4 (x)	130
8 (y)	(a)

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

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

$\frac{4}{8}$ = $\frac{130}{a}$

a = (130 x 8)/ 4

= $\frac{1040}{4}$

= 260

Distance travelled in 8 hrs = 260 km

A car travels 143 km in 3 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 334 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	143
7 (y)	(a)

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

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

$\frac{3}{7}$ = $\frac{143}{a}$

a = (143 x 7)/ 3

= $\frac{1001}{3}$

= 334

Distance travelled in 7 hrs = 334 km

A car travels 112 km in 4 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 168 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
4 (x)	112
6 (y)	(a)

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

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

$\frac{4}{6}$ = $\frac{112}{a}$

a = (112 x 6)/ 4

= $\frac{672}{4}$

= 168

Distance travelled in 6 hrs = 168 km

A car travels 175 km in 5 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)
5 (x)	175
9 (y)	(a)

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

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

$\frac{5}{9}$ = $\frac{175}{a}$

a = (175 x 9)/ 5

= $\frac{1575}{5}$

= 315

Distance travelled in 9 hrs = 315 km

A car travels 168 km in 2 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 504 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	168
6 (y)	(a)

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

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

$\frac{2}{6}$ = $\frac{168}{a}$

a = (168 x 6)/ 2

= $\frac{1008}{2}$

= 504

Distance travelled in 6 hrs = 504 km

A car travels 162 km in 5 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 194 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	162
6 (y)	(a)

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

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

$\frac{5}{6}$ = $\frac{162}{a}$

a = (162 x 6)/ 5

= $\frac{972}{5}$

= 194

Distance travelled in 6 hrs = 194 km

A car travels 125 km in 2 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer: 500 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	125
8 (y)	(a)

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

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

$\frac{2}{8}$ = $\frac{125}{a}$

a = (125 x 8)/ 2

= $\frac{1000}{2}$

= 500

Distance travelled in 8 hrs = 500 km

10)

A car travels 131 km in 5 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer: 210 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	131
8 (y)	(a)

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

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

$\frac{5}{8}$ = $\frac{131}{a}$

a = (131 x 8)/ 5

= $\frac{1048}{5}$

= 210

Distance travelled in 8 hrs = 210 km