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Question

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:
  1. days
  2. 30 days
  3. 20 days
  4. 25 days


Solution

The correct option is A days
Ratio of times taken by A and B = 1 : 3.
The time difference is (3 - 1) 2 days while B take 3 days and A takes 1 day.
If difference of time is 2 days, B takes 3 days.
If difference of time is 60 days,
B takes \left(\frac32\times60\right)=90 days
So, A takes 30 days to do the work.
A’s 1 day’s work =130
B’s 1 day’s work 190
(A+B’s 1 day’s work =(130+190)=490=245
A and B together can do the work in 452=2212days.

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