Multiple choice

A can do a piece of work in 6 days and B can do the same work in 8 days. A and B agrees to do it for Rs. 320. With the help of C, they managed to finish the work in 3 days. Find the amount of money A and B paid to C.

  1. Rs. 37.50

  2. Rs. 40

  3. Rs. 60

  4. Rs. 80
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A's rate = 1/6, B's rate = 1/8. In 3 days, A does 3/6 = 1/2, B does 3/8. Total work by A+B = 1/2 + 3/8 = 7/8. C does 1 - 7/8 = 1/8 of the work. C's share = (1/8) * 320 = 40.

AI explanation

A's one day work is 1/6 and B's one day work is 1/8, so their combined one day work is 7/24. When C helps them, their combined one day work becomes 1/3 since they finish in 3 days. C's one day work is found by subtracting their combined work from the total, giving 1/3 - 7/24 = 1/24, meaning the ratio of work done by A, B, and C is 4:3:1. C's share of the total Rs. 320 is 1/8 of the total amount, which calculates to Rs. 40.

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