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CAT 2016 Slot 1 · Quant · Time and Work · easy

A can complete a job in 12 days and B in 18 days. In how many more days will B finish the remaining work?

Single correct option

A can complete a job in 12 days and B in 18 days. They work together for 4 days, after which A leaves. In how many more days will B finish the remaining work?
  1. A. 6
  2. B. 8
  3. C. 9
  4. D. 10
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Answer: (B) 8

Take the work as LCM(12, 18) = 36 units. A does 3 units/day, B does 2 units/day.

In 4 days together they do 4 × 5 = 20 units. Remaining = 16 units.

B alone needs 16 ÷ 2 = 8 days.

Tip: Assigning total work = LCM of the individual times avoids fractions.
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Original question written in the CAT 2016 Slot 1 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake