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

Answer:_______________

A car travels 131 km in 5 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer:_______________

A car travels 181 km in 3 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer:_______________

A car travels 100 km in 2 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer:_______________

A car travels 170 km in 3 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer:_______________

A car travels 114 km in 5 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer:_______________

A car travels 185 km in 5 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer:_______________

A car travels 117 km in 2 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer:_______________

A car travels 168 km in 5 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer:_______________

10)

A car travels 175 km in 2 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

A car travels 125 km in 3 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 375 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	125
9 (y)	(a)

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

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

$\frac{3}{9}$ = $\frac{125}{a}$

a = (125 x 9)/ 3

= $\frac{1125}{3}$

= 375

Distance travelled in 9 hrs = 375 km

A car travels 131 km in 5 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 183 km

SOLUTION 1 :

Given :

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

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

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

$\frac{5}{7}$ = $\frac{131}{a}$

a = (131 x 7)/ 5

= $\frac{917}{5}$

= 183

Distance travelled in 7 hrs = 183 km

A car travels 181 km in 3 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 362 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	181
6 (y)	(a)

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

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

$\frac{3}{6}$ = $\frac{181}{a}$

a = (181 x 6)/ 3

= $\frac{1086}{3}$

= 362

Distance travelled in 6 hrs = 362 km

A car travels 100 km in 2 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer: 500 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	100
10 (y)	(a)

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

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

$\frac{2}{10}$ = $\frac{100}{a}$

a = (100 x 10)/ 2

= $\frac{1000}{2}$

= 500

Distance travelled in 10 hrs = 500 km

A car travels 170 km in 3 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 340 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	170
6 (y)	(a)

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

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

$\frac{3}{6}$ = $\frac{170}{a}$

a = (170 x 6)/ 3

= $\frac{1020}{3}$

= 340

Distance travelled in 6 hrs = 340 km

A car travels 114 km in 5 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer: 182 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	114
8 (y)	(a)

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

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

$\frac{5}{8}$ = $\frac{114}{a}$

a = (114 x 8)/ 5

= $\frac{912}{5}$

= 182

Distance travelled in 8 hrs = 182 km

A car travels 185 km in 5 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer: 296 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	185
8 (y)	(a)

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

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

$\frac{5}{8}$ = $\frac{185}{a}$

a = (185 x 8)/ 5

= $\frac{1480}{5}$

= 296

Distance travelled in 8 hrs = 296 km

A car travels 117 km in 2 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 410 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	117
7 (y)	(a)

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

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

$\frac{2}{7}$ = $\frac{117}{a}$

a = (117 x 7)/ 2

= $\frac{819}{2}$

= 410

Distance travelled in 7 hrs = 410 km

A car travels 168 km in 5 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer: 336 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	168
10 (y)	(a)

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

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

$\frac{5}{10}$ = $\frac{168}{a}$

a = (168 x 10)/ 5

= $\frac{1680}{5}$

= 336

Distance travelled in 10 hrs = 336 km

10)

A car travels 175 km in 2 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 788 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	175
9 (y)	(a)

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

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

$\frac{2}{9}$ = $\frac{175}{a}$

a = (175 x 9)/ 2

= $\frac{1575}{2}$

= 788

Distance travelled in 9 hrs = 788 km