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 105 km in 2 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer:_______________

A car travels 178 km in 3 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

A car travels 178 km in 4 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer:_______________

A car travels 152 km in 2 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer:_______________

A car travels 156 km in 3 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer:_______________

A car travels 139 km in 5 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

A car travels 168 km in 3 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer:_______________

A car travels 101 km in 2 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer:_______________

A car travels 134 km in 5 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer:_______________

10)

A car travels 124 km in 3 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer:_______________

A car travels 105 km in 2 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer: 420 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	105
8 (y)	(a)

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

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

$\frac{2}{8}$ = $\frac{105}{a}$

a = (105 x 8)/ 2

= $\frac{840}{2}$

= 420

Distance travelled in 8 hrs = 420 km

A car travels 178 km in 3 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 534 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	178
9 (y)	(a)

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

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

$\frac{3}{9}$ = $\frac{178}{a}$

a = (178 x 9)/ 3

= $\frac{1602}{3}$

= 534

Distance travelled in 9 hrs = 534 km

A car travels 178 km in 4 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 312 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
4 (x)	178
7 (y)	(a)

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

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

$\frac{4}{7}$ = $\frac{178}{a}$

a = (178 x 7)/ 4

= $\frac{1246}{4}$

= 312

Distance travelled in 7 hrs = 312 km

A car travels 152 km in 2 hrs. Find the distance it covers in 10 hrs at the same speed.

Answer: 760 km

SOLUTION 1 :

Given :

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

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

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

$\frac{2}{10}$ = $\frac{152}{a}$

a = (152 x 10)/ 2

= $\frac{1520}{2}$

= 760

Distance travelled in 10 hrs = 760 km

A car travels 156 km in 3 hrs. Find the distance it covers in 6 hrs at the same speed.

Answer: 312 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	156
6 (y)	(a)

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

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

$\frac{3}{6}$ = $\frac{156}{a}$

a = (156 x 6)/ 3

= $\frac{936}{3}$

= 312

Distance travelled in 6 hrs = 312 km

A car travels 139 km in 5 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 250 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	139
9 (y)	(a)

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

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

$\frac{5}{9}$ = $\frac{139}{a}$

a = (139 x 9)/ 5

= $\frac{1251}{5}$

= 250

Distance travelled in 9 hrs = 250 km

A car travels 168 km in 3 hrs. Find the distance it covers in 7 hrs at the same speed.

Answer: 392 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	168
7 (y)	(a)

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

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

$\frac{3}{7}$ = $\frac{168}{a}$

a = (168 x 7)/ 3

= $\frac{1176}{3}$

= 392

Distance travelled in 7 hrs = 392 km

A car travels 101 km in 2 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer: 404 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
2 (x)	101
8 (y)	(a)

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

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

$\frac{2}{8}$ = $\frac{101}{a}$

a = (101 x 8)/ 2

= $\frac{808}{2}$

= 404

Distance travelled in 8 hrs = 404 km

A car travels 134 km in 5 hrs. Find the distance it covers in 9 hrs at the same speed.

Answer: 241 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
5 (x)	134
9 (y)	(a)

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

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

$\frac{5}{9}$ = $\frac{134}{a}$

a = (134 x 9)/ 5

= $\frac{1206}{5}$

= 241

Distance travelled in 9 hrs = 241 km

10)

A car travels 124 km in 3 hrs. Find the distance it covers in 8 hrs at the same speed.

Answer: 331 km

SOLUTION 1 :

Given :

Time taken (hrs)	distance travelled (km)
3 (x)	124
8 (y)	(a)

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

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

$\frac{3}{8}$ = $\frac{124}{a}$

a = (124 x 8)/ 3

= $\frac{992}{3}$

= 331

Distance travelled in 8 hrs = 331 km