Question
Download Solution PDFA man alone can do a piece of work in 16 days, but with the help of his friend, he can do it in 8 days. In what time can his friend do it alone?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A man can complete the work in = 16 days
Formula used:
Work = Efficiency × Time
Calculation:
Let the friend alone can complete the work in X days
A man's one-day work =
Friend's one day work =
According to the question
⇒
⇒
⇒
⇒ X = 16 days
The friend alone can complete the work in = 16 days
∴ The required result will be 16 days.
Shortcut TrickTheir ratio of efficiency when they worked together and man's efficiency = 16 : 8 = 2 : 1
The efficiency of friend = 2 - 1 = 1
The efficiency of a friend is equal to the efficiency of a man then friend also can complete the work in 16 days
∴ The required result will be 16 days.
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