Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation 7.10 Inverse Variation or Inverse Proportion

Inverse Variation or Indirect Variation Directions: Answer the following questions. Also write at least ten examples of your own.

Q 1: The number 'r' varies inversely as 's' and the constant of variation is 20. Find s when r=5; and find r when s=-2. -10 and 5 respectively 5 and -10 respectively 4 and -10 respectively -10 and 4 respectively

Q 2: If y varies inversely as x; and x=6 when y=-3, find y when x=-9. 3 2 6

Q 3: It is known that current (A) in an electric circuit is inversely proportional to the resistance (R) in the circuit. When the resistance is 3 ohms, the current is 2 amperes. Find the resistance if the current is 5 amperes; and find the current when the r 1 ohms and 1 amperes respectively 2 ohms and 1 amperes respectively 1.2 ohms and 1.2 amperes respectively

Q 4: A farmer has enough grain to feed 50 cattle for 10 days. He sells 10 cattle. For how many days will the grain last now? 55 days 50 days 40 days

Q 5: Some people working at the rate of 6 hours a day can complete the work in 19 1/2 days. As they have received another contract, they want to finish this work early. Now they start working 6 1/2 hours a day. In how many days will they finish this work? 20 days 18 days 16 days

Q 6: The groceries in a home of 4 members are enough for 30 days. If a guest comes and stays with them, how many days will the groceries last? 24 days 26 days 28 days

Q 7: 24 people can construct a house in 15 days. But the owner would like to finish the work in 12 days. How many more workers should he employ? 6 7 8

Q 8: At the rate of 28 lines per page, a book has 300 pages. If the book has to contain only 280 pages, how many lines should a page contain? 30 lines 32 lines 29 lines

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!