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: 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? 8 7 6

Q 2: 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 1.2 ohms and 1.2 amperes respectively 1 ohms and 1 amperes respectively 2 ohms and 1 amperes respectively

Q 3: 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? 26 days 28 days 24 days

Q 4: 35 carts are needed to transport the entire grain in a warehouse at the rate of 8 bags a truck. But the truck drivers objected saying it was too heavy and carried only 7 bags a truck. How many more trucks are needed to transport the grain? 5 9 4

Q 5: If y varies inversely as x; and x=6 when y=-3, find y when x=-9. 6 3 2

Q 6: 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 7: 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? 29 lines 30 lines 32 lines

Q 8: 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

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!