WORD PROBLEMS INVOLVING DIRECT AND INVERSE PROPORTION WORKSHEET

Problem 1 :

The number of pencils sold varies directly as the cost. If 5 pencils cost $0.45, find the cost of 7 pencils.

Solution

Problem 2 :

On a scale drawing, 2 feet represents 30 yards. How many yards are represented by 3 feet?

Solution

Problem 3 :

On a map, 180 miles are represented by 4 inches. How many miles are represented by 6 inches?

Solution

Problem 4 :

y varies directly as the square of x. If y is 25 when x is 3, find y when x is 2.

Solution

Problem 5 :

Laura has a mass of 60 kg and is sitting 265 cm from the fulcrum of a seesaw. Bill has a mass of 50 kg. How far from the fulcrum must he be to balance the seesaw? (Hint: The distance from the fulcrum varies inversely as the mass).

Solution

Problem 6 :

Time varies inversely as speed if the distance is constant. A trip takes 4 hours at 80 km/h. How long does it take at 64 km/h?

Solution

Problem 7 :

The number of hours required to do a job varies inversely as the number of people working. It takes 8 hours for 4 people to paint the inside of a house. How long would it take 5 people to do the job?

Solution