Multiple choice

A can do a piece of work in 20 days, B can do the same piece of work in 30 days. A and B start working together and after working for 10 days, A leaves and B has to complete the remaining work himself. If A was given $550 for the work done by him, what amount of money will B get?

  1. $300
  2. $380
  3. $440
  4. $550
  5. $600
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A's work rate = 1/20, B's = 1/30. In 10 days, A does 10/20 = 1/2 of work. B does 10/30 = 1/3 of work. Total work done by both = 1/2 + 1/3 = 5/6. Remaining work = 1/6, done by B. Total work by B = 1/3 + 1/6 = 1/2. Since A and B did equal amounts of work (1/2 each), they should get equal pay. A got 550, so B gets 550.

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