Multiple choice

A contractor gives Rs. 2000 for building a wall. If A can build the wall in 10 days and B can build it in 40 days, then find the amount B would get if he worked only for 5 days.

  1. Rs. 100

  2. Rs. 250

  3. Rs. 800

  4. Rs. 1000

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The total payment is for the whole job. A's rate is 1/10, B's rate is 1/40. Working together, their combined rate is 1/10 + 1/40 = 5/40 = 1/8. The job takes 8 days. B's share is proportional to his work contribution. B works for 5 days at rate 1/40, so B does 5/40 = 1/8 of the work. B's payment = 1/8 * 2000 = 250.

AI explanation

B can build the wall in 40 days, so his one day work is 1/40. If he worked only for 5 days, his total work is 5 times 1/40, which equals 1/8. Since wages are distributed in proportion to work, B receives 1/8 of the total Rs. 2000. The amount B would get is Rs. 250.

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