Time and Work with Leaving Early
CMAT 2026 · Quantitative Techniques & Data Interpretation · Medium · Time and Work
Raman can do a piece of work in 16 days. Satish can do the same work in 8 days while Ashok can do it in 32 days. All of them worked together when they started, but Satish left after 2 days. Raman left 3 days before the completion of work. How long did it take to complete the entire work?
- A.
8 days
- B.
10 days
- C.
12 days
- D.
14 days
Answer
B
Explanation
Total work = LCM(16, 8, 32) = 32 units. Efficiencies: Raman = 2, Satish = 4, Ashok = 1. Let total time taken be days. Satish worked for 2 days, Raman worked for days, Ashok worked for days. Work done: days.
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