SOLVE PROBLEMS INVOLVING DIRECT AND INVERSE PROPORTION WORKSHEET

Problem 1 :

A worker is paid $200 for 8 days. If he works for 20 days, how much will he get?

Solution

Problem 2 :

A train covers a distance of 51 km in 45 minutes. How long will it take to cover 221 km?

Solution

Problem 3 :

x and y are in inverse proportion. If y = 15 then x = 3, find the value of y when x = 9.

Solution

Problem 4 :

If xy = 10, then x and y vary ___ with each other.

Solution

Problem 5 :

Time taken to cover a distance by a car and speed of the car are said to be in ___ variation.

Solution

Problem 6 :

55 cows can graze a field in 16 days. How many cows will graze the same field in 10 days?

Solution

Problem 7 :

If the weight of 12 sheets of thick paper is 40 grams, how many sheets of the same would weigh 2 1/2 kilograms?

Solution

Problem 8 :

Observe the following table and find if x and y are in direct variation.

Solution

Problem 9 :

A labourer gets $675 for nine days work. How many days should he work to get $900?

Solution

Problem 10 :

By walking for 30 minutes in the morning a person covers 2 kilometers. How much distance will he/she cover in 20 minutes by walking at the same ? 

Solution

Problem 11 :

If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?

Solution

Problem 12 :

A car travels 60 km in 1 hr 30 min. How long it take to cover a distance of 100 km at the same speed?

Solution

Problem 13 :

11 men can dig 6.75 m long trench in one day. How many men should be employed for digging 27 m long trench of the same type in one day?

Solution

Problem 14 :

120 men had food provisions for 200 days. After 5 days, 30 men die due to an epidemic. How long will the remaining food last?

Solution

Problem 15 :

A train 400 m long is running at a speed of 72 km/hr. How much time does it take to cross a telegraph post?

Solution