A is three times more efficient worker than B and is therefire able to complete a work in 60 days less than B. What is the number of days that A and B together will take to complete the work ?
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Let B complete the work in x days. Then,
A will complete the same work in x/3 days.
Given, x – x/3 = 60
=> 2x/3 = 60
=> x = 60 × 3/2 = 90 days.
Therefore A will complete the work in 30 days.
(A + B)'s 1 days' work
= 1/90 + 1/30
= 4/90
=> (A + B) will complete the whole work in 90/4
= 22.5 days.
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