## Variation Worksheet Solution4

In this page variation worksheet solution4 we are going to see solution of practice questions from the worksheet variation worksheet.

Question 10

7 boxes weigh 36.4 kg. How much will 5 such boxes weigh?

Solution:

Let "x" be the weight of 5 such boxes

Number of boxes                    Weight of boxes

7                                            36.4 kg

5                                             x

If the number of boxes decreases then weight of boxes also decrease. So it is in direct variation.

7 x x = 5 x 36.4

X = (5 x 36.4)/7

x = 182/7

x = 26 kg

(1) 16 kg

(2) 50 kg

(3) 20 kg

(4) 26 kg

Question 11

A car takes 5 hours to cover a particular distance at a uniform speed of
60 km/hr. How long will it take to cover the same distance at a uniform
speed of 40 km/hr?

Solution:

Let "x" be the distance covered at a uniform speed of 40 km/hr

Speed of the car                          Time taken by the car

60                                            5 hours

40                                            x hours

If Speed of the car decreases then the distance covered by the car increase.So it is in inverse variation.

60 x 5 = 40 x x

X = (60 x 5)/40

x = 300/40

x = 7.5 hours

x = 7 ½ hour

(1) 7 ½ hour

(2) 5 hour

(3) 2 hour

(4) 9 ½ hour

Question 12

150 men can finish a piece of work in 12 days. How many days will 120 men
take to finish the same work?

Solution:

Let "x" be the required number of days taken to finish the work

Number of men                         Number of days taken

150                                            12 days

120                                            x days

Since the number of men is decreasing,so the number of days taken to complete the work will increase. This is in inverse variation.

150 x 12 = 120 x x

X = (150 x 12)/120

x = 1800/120

x = 15 days

(1) 7 days

(2) 15 days

(3) 12 days

(4) 9 days variation worksheet solution4 variation worksheet solution4