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Time and Work

Q1: 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:

A 20 days

B
22 1 days
2

C 25 days

D 30 days

ANS:B -

22 1 days
2

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 3 x 60 = 90 days.
2
So, A takes 30 days to do the work.
A's 1 day's work = 1
30
B's 1 day's work = 1
90
(A + B)'s 1 day's work = 1 + 1 = 4 = 2
30 90 90 45
 A and B together can do the work in 45 = 22 1 days.
2 2



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