Multiple choice

Adolf can do a task in 15 days, but Beggie can do the same task in 25 days. Both started working together, but after 6 days, Adolf left. In how many days will Beggie complete the remaining task?

  1. 27

  2. 9

  3. 17

  4. 25

  5. 26
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Adolf's rate is 1/15, Beggie's is 1/25. In 6 days, they do 6(1/15 + 1/25) = 6(5/75 + 3/75) = 6(8/75) = 48/75 = 16/25 of the work. Remaining work is 9/25. Beggie finishes this in (9/25) / (1/25) = 9 days.

AI explanation

Using the Least Common Multiple (LCM) method, let the total work be 75 units. Adolf's work rate is 5 units per day and Beggie's work rate is 3 units per day. Working together for 6 days, they complete 6 times 8 units, which is 48 units. The remaining work is 75 minus 48, which is 27 units. Beggie completes this remaining work in 27 divided by 3 days, which equals 9 days.

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