Multiple choice

Directions: A and B can do a piece of work in 20 and 30 days, respectively. A, B and C worked together to complete the work. They got \$900 for completing the work. If they shared the money according to the work done by them, B would get \$150 more than the amount C gets. How much money will A get?

  1. $300
  2. $450
  3. $500
  4. $600
  5. $800
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A's work rate is 1/20, B's is 1/30. Let C's rate be 1/x. Total work = 1. The ratio of their shares is proportional to their work rates. Solving the system based on the total 900 and the difference between B and C leads to A receiving 450.

AI explanation

Assume C's work efficiency is z units per day and B's efficiency is (z plus 5) units per day to satisfy the condition that B earns 150 dollars more. Since A and B complete the work in 20 and 30 days respectively, A's efficiency is 3 units per day, making B's efficiency 2 units per day. Therefore, z must equal -3 units, and C's efficiency is 2 units per day, meaning the ratio of work done by A, B and C is 3 to 2 to 2. Out of the total 900 dollars, A receives 7 parts of the total 9 parts, which calculates to 450 dollars.

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