DIRECT AND INVERSE VARIATION WORD PROBLEMS WORKSHEET

If the cost of 8 kg of rice is $160, then find the cost of 18 kg rice.

If the cost of 7 mangoes is 35, then find the cost of 15 mangoes.

A train covers a distance of 195 km in 3 hours. At the same speed, find the distance traveled by the train in 5 hours.

If 8 workers complete a work in 24 days, in how many hours can 24 workers complete the same work?

If 18 men do a work in 20 days, in how many days do 24 men do the same work?

A marriage party of 300 people require 60 kg of vegetables. What is the requirement if 500 people turn up for the marriage ?

90 teachers are required for a school with a strength 1500 students. How many teachers are required for a school of 2000 students ?

A car travels 60 km in 45 minutes. At the same rate, how many kilo meters will it travel in one hour?

Let x be the required cost

Quantity of rice Cost of rice

As the quantity of rice increase, the cost of rice will also increase. It is in direct variation.

Let x be the required cost

No of mangoes Cost of mangoes

As the number of mangoes increase the cost will also increase. It is in direct variation.

So, cost of 15 mangoes is $75.

Let x be the distance traveled

Distance traveled Time taken

As time taken by the train increase the distance traveled will also increase. So, it is in direct variation.

So, distance travelled in 5 hours is 325 km.

Let x be the number of days taken

Number of workers Number of days

If number of workers increase, then the number of days will decrease. So, it is under inverse variation.

So, number of days taken by 24 workers to complete the work is 8 days.

Let x be the number of days taken

Number of workers Number of days

If number of workers increase, then the number of days will decrease. So, it is under inverse variation.

So, 24 men can do this work in 15 days.

Let x be the required quantity of vegetable

Number of people Quantity of vegetable

For more number of people, we need more quantity of vegetables. It is in direct variation.

300 . x = 500 . 60

So, the quantity of vegetable needed is 100 kg.

Let x be the required number of teachers

Number of teachers Number of students

To teach more number of students, we need more teachers. So, it is under direct variation.

90 . 2000 = 1500 . x

x = (90 . 2000)/1500

x = 120 teachers

So, 120 teachers are required to teach 2000 students.

Let x be the distance taken by car to cover the distance in one hour

Distance covered Time taken

We are taking more time, so distance covered by the train will also be more. So, it is in direct variation.

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

© All rights reserved. onlinemath4all.com