Question
Download Solution PDFNuman does half the work as Gagan in 4/5 of the time. If together they take 16 days to complete a piece of work, then how long will it take Gagan to complete the work?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Numan does half the work as Gagan in 4/5 of the time.
Together they take 16 days to complete a piece of work
Calculation:
According to the question,
Numan × 4/5 = Gagan × 1/2
⇒ Numan = Gagan × 5/8
⇒ Numan/Gagan = 5/8
So, Numan’s efficiency = 5 unit/day. & Gagan’s efficiency = 8 unit/day.
Now,
Total work = 16 × (5 + 8)
⇒ 16 × 13
Time taken by Gagan = (16 × 13)/8
⇒ 26 Days
∴ Gagan will take 26 days to complete the work.
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