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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. 2212 days

  2. 30 days

  3. 25 days

  4. 20 days


Solution

The correct option is A

2212 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 (32×60)=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 days 452=2212

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