Multiple choice

A and B work together and complete a piece of work in 24 days. They get some money for their work. If they distribute that money according to their work, A will get 50% more money than B will. In how many days can B alone complete the same work?

  1. 40

  2. 48

  3. 50

  4. 60

  5. 72
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A+B complete work in 24 days. A gets 50% more than B, so A's efficiency is 1.5 times B's. A = 1.5B. (1.5B + B) * 24 = Total Work. 2.5B * 24 = 60B. B alone takes 60 days.

AI explanation

Since A gets 50 percent more money than B, the ratio of their wages and work efficiencies is 3 to 2. Let their one day work be 3x and 2x, so their combined one day work is 5x equals 1/24, making x equal 1/120. The one day work of B is 2x, which is 2/120 or 1/60. B alone can complete the same work in 60 days.

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