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P can do a piece of the work in 18 days and Q can do same work in 36 days. How long will they take (in days), if they work
together, to complete the above mentioned work?
24
12
20
10
- P can complete the work in 18 days. This means P does 1/18 of the work each day.
- Q can complete the work in 36 days. Thus, Q does 1/36 of the work daily.
- Together, their combined work per day is:
- (1/18) + (1/36) = (2/36) + (1/36) = 3/36 = 1/12 of the work.
- Hence, both P and Q together take 12 days to complete the work.
Option 2: 12
- Option 1: 24 days - Too long, as they work together.
- Option 3: 20 days - Also too long for joint efforts.
- Option 4: 10 days - Slightly short; overestimates their speed.
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