Question
Download Solution PDFManoj can do a piece of work in 8 hours. Anand can do it in 8 hours. With the assistance of Anil, they completed the work in 2 hours. In how many hours can Anil alone do it?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Manoj can do the work in 8 hours
Anand can do the work in 8 hours
All three together do the work in 2 hours
Formula used:
Work rate = 1 ÷ Time
Total work done together = Sum of individual work rates × Time
Calculation:
Manoj's 1 hour work = 1 ÷ 8
Anand's 1 hour work = 1 ÷ 8
Let Anil’s 1 hour work = 1 ÷ x
Together in 1 hour they do:
⇒ (1 ÷ 8) + (1 ÷ 8) + (1 ÷ x) = 1 ÷ 2
⇒ 1 ÷ 4 + 1 ÷ x = 1 ÷ 2
⇒ 1 ÷ x = 1 ÷ 2 − 1 ÷ 4 = (2 − 1) ÷ 4 = 1 ÷ 4
⇒ x = 4
∴ Anil alone can do the work in 4 hours.
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