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 173 km in 5 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer:_______________

A car travels 149 km in 4 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer:_______________

A car travels 158 km in 3 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer:_______________

A car travels 155 km in 2 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 186 km in 4 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer:_______________

A car travels 187 km in 5 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer:_______________

A car travels 126 km in 3 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer:_______________

A car travels 102 km in 3 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

10)

A car travels 175 km in 5 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer:_______________

A car travels 173 km in 5 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 208 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	173
6 (y)	(a)

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

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

$\frac{5}{6}$ = $\frac{173}{a}$

a = (173 x 6)/ 5

= $\frac{1038}{5}$

= 208

Distance travelled in 6 hrs = 208 km

A car travels 149 km in 4 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer: 298 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
4 (x)	149
8 (y)	(a)

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

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

$\frac{4}{8}$ = $\frac{149}{a}$

a = (149 x 8)/ 4

= $\frac{1192}{4}$

= 298

Distance travelled in 8 hrs = 298 km

A car travels 158 km in 3 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 316 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	158
6 (y)	(a)

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

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

$\frac{3}{6}$ = $\frac{158}{a}$

a = (158 x 6)/ 3

= $\frac{948}{3}$

= 316

Distance travelled in 6 hrs = 316 km

A car travels 155 km in 2 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 698 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	155
9 (y)	(a)

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

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

$\frac{2}{9}$ = $\frac{155}{a}$

a = (155 x 9)/ 2

= $\frac{1395}{2}$

= 698

Distance travelled in 9 hrs = 698 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 186 km in 4 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer: 465 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
4 (x)	186
10 (y)	(a)

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

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

$\frac{4}{10}$ = $\frac{186}{a}$

a = (186 x 10)/ 4

= $\frac{1860}{4}$

= 465

Distance travelled in 10 hrs = 465 km

A car travels 187 km in 5 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 224 km

SOLUTION 1 :

Given :

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

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

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

$\frac{5}{6}$ = $\frac{187}{a}$

a = (187 x 6)/ 5

= $\frac{1122}{5}$

= 224

Distance travelled in 6 hrs = 224 km

A car travels 126 km in 3 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 252 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	126
6 (y)	(a)

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

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

$\frac{3}{6}$ = $\frac{126}{a}$

a = (126 x 6)/ 3

= $\frac{756}{3}$

= 252

Distance travelled in 6 hrs = 252 km

A car travels 102 km in 3 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 306 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	102
9 (y)	(a)

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

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

$\frac{3}{9}$ = $\frac{102}{a}$

a = (102 x 9)/ 3

= $\frac{918}{3}$

= 306

Distance travelled in 9 hrs = 306 km

10)

A car travels 175 km in 5 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 245 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	175
7 (y)	(a)

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

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

$\frac{5}{7}$ = $\frac{175}{a}$

a = (175 x 7)/ 5

= $\frac{1225}{5}$

= 245

Distance travelled in 7 hrs = 245 km