Ajay, Bharat, and Chandu can complete a piece of work in 24 days, 30 days, and 32 days, respectively. Ajay and Chandu work on the first day, and Bharat completes the same work the next day. If they work in this way, in how many days can they complete the work?
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18 21 35 days
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18 31 35 days
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19 31 35 days
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19 21 35 days
A
Correct answer
Explanation
LCM(24, 30, 32) = 480. Rates: A=20, B=16, C=15. Day 1 (A+C): 20+15=35. Day 2 (B): 16. Cycle of 2 days = 51 units. 480 / 51 = 9 full cycles (18 days) = 459 units. Remaining = 21 units. Day 19 (A+C) completes 35 units, so 21/35 = 3/5 of a day. Total = 18 + 3/5 = 18 3/5 days. The option 18 21/35 is equivalent to 18 3/5.