Multiple choice

A can do a piece of work in 24 days. Time taken by A to complete one-third of the work is equal to the time taken by B to complete half the work. So in how many days A and B work together?

  1. 10

  2. 8.4

  3. 9.2

  4. 9.6

  5. 14
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A completes 1/3 work in 8 days (24/3). This equals time B takes for 1/2 work, so B takes 16 days for full work. B's 1 day work = 1/16. Combined 1 day work = 1/24 + 1/16 = 4/96 + 6/96 = 10/96 = 5/48. Time together = 48/5 = 9.6 days.

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