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UP TGT Mathematics Commercial Mathematics Test Series - Part 4

A is thrice as good a workman as B and therefore is able to finish a job in 60 days less than B. Working together, in ho...

Type: MCQ • Marks: 1
A is thrice as good a workman as B and therefore is able to finish a job in 60 days less than B. Working together, in how many days can they do it?
Options
A. 1) 25 days
B. 2) 30 days
C. 3) 20 days
D. 4) 22.5 days
Explanation
Efficiency A:B = 3:1 => Time A:B = 1:3. Difference = 2 units = 60 days => 1 unit = 30 days. So A takes 30 days, B takes 90 days. Joint rate = 1/30 + 1/90 = 4/90 = 2/45. Joint time = 45/2 = 22.5 days.
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