# Worksheet on Direct Variation | Word Problems on Direct Variation with Solutions

Worksheet on Direct Variation includes different questions to practice. Learn how to solve Word Problems on Direct Variation by referring to the Solved Examples available. We have provided Step by Step Solutions for all the Problems explained in the Direct Variation Worksheet. Practice using them and learn different methods used to approach. Assess your strengths and weaknesses using the Worksheet for Direct Variation and plan your preparation accordingly.

1. If 10 oranges cost \$ 14, how many oranges can be bought for \$ 32?

Solution:

Given 10 oranges = \$14

? = \$32

Let the number of oranges that can be bought using the \$32 is x

rearranging we get the value of x as

x*14 = 10*32

x = 320/14

x = 22 Oranges(Approx)

Therefore, 22 Oranges can be bought for \$32.

Solution:

From the given data

Let the cost of 20 basketballs be m

Cross multiplying we get

m = (20*1140)/70

= \$325.71

3. 7 men can complete a work in 42 days. In how many days will 5 men finish the same work?

Solution:

From given data

Men  Days

7        42

5        ?

Cross multiply to get the no. of days 5 men finish the work

no. of days = (5*42)/7

= 30

Therefore, 5 men take 30 days to finish the work.

4. If a car covers 90 km in 6 liters of petrol, how much distance will it cover in 24 liters of petrol?

Solution:

90 Km – 6 Liters

? – 24 Liters

distance be d

cross multiply to obtain the value of d we have

d = (90*24)/6

= 360 Km

Car Covers 360 Km in 24 Liters of Petrol.

5. If 3 Persons weave 210 Shawls? How many shawls will be Weaven by 7 Persons?

Solution:

3 Persons – 210 Shawls

7 Persons – ?

Cross multiplying we get

No. of Shawls = (210*7)/3

= 490

7 Persons can weave 490 Shawls.

6. In 24 Weeks, Michael raised \$240,000 for cancer research. How much money will he raise 36 weeks?

Solution:

24 Weeks – \$2,40,000

36 Weeks – ?

Money raised by Michael = (2,40,000*36)/24

= \$3,60,000

Michael raises \$3,60,000 in 36 Weeks.

7. If 5 men can paint a house in 12 hours, how many men will be able to paint it in 36 hours?

Solution:

5 men – 12 hours

? – 36 hours

No. of Men = (5*36)/12

= 15

15 Men can Paint a House in 36 Hours.

8. If the cost of transporting 60 kg of goods for 100 km is Rs 120, what will be the cost of transporting 160 kg of goods for 200 km?

Solution:

The cost of transporting 60kg of goods for 100 km is 120

cost of 1 kg for 1 km = 120/60*100 = Rs. 1/50

cost of 160kg for 200 km = 1/50*160*200

= Rs. 640

Cost of transporting 160kg of goods for 200km is Rs. 640