AMC 8 Daily Practice Round 8

Complete problem set with solutions and individual problem pages

Problem 29 Hard

For a certain project, Teams A and B working together can complete \frac{9}{40} of the entire project per day. If Team A works alone for 3 days and then Team B works alone for 5 days, they can complete \frac{7}{8} of the entire project. If Team B works alone, how many days will it take to complete the project?

  • A.

    25

  • B.

    10

  • C.

    15

  • D.

    30

  • E.

    20

Answer:B

(5 - 3 ) \div ( \frac { 7 } { 8 } - \frac { 9 } { 4 0 } \times 3 ) = 1 0 days.