Multiple choice

S, T and U can complete a piece of work in 40, 48 and 60 days, respectively. They receive Rs. 10,800 to complete the work. They begin the work together but T leaves 2 days before the completion of the work and U leaves 5 days before the completion of the work. S completes the remaining work alone. What is the share of S (in Rs.) from the total money?

  1. 4000

  2. 4320

  3. 4500

  4. 4860
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Work rates: S=1/40, T=1/48, U=1/60. Let total time be x. S works for x days, T for x-2, U for x-5. Equation: x/40 + (x-2)/48 + (x-5)/60 = 1. Solving gives x = 18. S worked 18 days. S's share = (18/40) * 10800 = 4860.

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