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

Answer:_______________

A car travels 150 km in 4 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer:_______________

A car travels 100 km in 2 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer:_______________

A car travels 132 km in 5 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

A car travels 169 km in 5 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

A car travels 143 km in 4 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer:_______________

A car travels 150 km in 2 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer:_______________

A car travels 187 km in 2 hrs. Find the distance it covers in 6 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:_______________

10)

A car travels 152 km in 2 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer:_______________

A car travels 117 km in 3 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 273 km

SOLUTION 1 :

Given :

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

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

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

$\frac{3}{7}$ = $\frac{117}{a}$

a = (117 x 7)/ 3

= $\frac{819}{3}$

= 273

Distance travelled in 7 hrs = 273 km

A car travels 150 km in 4 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer: 300 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
4 (x)	150
8 (y)	(a)

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

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

$\frac{4}{8}$ = $\frac{150}{a}$

a = (150 x 8)/ 4

= $\frac{1200}{4}$

= 300

Distance travelled in 8 hrs = 300 km

A car travels 100 km in 2 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 350 km

SOLUTION 1 :

Given :

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

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

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

$\frac{2}{7}$ = $\frac{100}{a}$

a = (100 x 7)/ 2

= $\frac{700}{2}$

= 350

Distance travelled in 7 hrs = 350 km

A car travels 132 km in 5 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 238 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	132
9 (y)	(a)

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

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

$\frac{5}{9}$ = $\frac{132}{a}$

a = (132 x 9)/ 5

= $\frac{1188}{5}$

= 238

Distance travelled in 9 hrs = 238 km

A car travels 169 km in 5 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 304 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	169
9 (y)	(a)

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

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

$\frac{5}{9}$ = $\frac{169}{a}$

a = (169 x 9)/ 5

= $\frac{1521}{5}$

= 304

Distance travelled in 9 hrs = 304 km

A car travels 143 km in 4 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer: 358 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
4 (x)	143
10 (y)	(a)

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

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

$\frac{4}{10}$ = $\frac{143}{a}$

a = (143 x 10)/ 4

= $\frac{1430}{4}$

= 358

Distance travelled in 10 hrs = 358 km

A car travels 150 km in 2 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer: 750 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	150
10 (y)	(a)

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

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

$\frac{2}{10}$ = $\frac{150}{a}$

a = (150 x 10)/ 2

= $\frac{1500}{2}$

= 750

Distance travelled in 10 hrs = 750 km

A car travels 187 km in 2 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 561 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	187
6 (y)	(a)

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

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

$\frac{2}{6}$ = $\frac{187}{a}$

a = (187 x 6)/ 2

= $\frac{1122}{2}$

= 561

Distance travelled in 6 hrs = 561 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

10)

A car travels 152 km in 2 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 532 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	152
7 (y)	(a)

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

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

$\frac{2}{7}$ = $\frac{152}{a}$

a = (152 x 7)/ 2

= $\frac{1064}{2}$

= 532

Distance travelled in 7 hrs = 532 km