Question : A can do a certain task in 1.5 times the number of days in which B and C together can do it. If A and B together can do the task in 30 days, and C alone can do it in 120 days, how many days will B take to do this task alone?
Option 1: 75
Option 2: 45
Option 3: 60
Option 4: 50
Correct Answer: 60
Solution :
Work done by (A + B) in 1 day
Work done by C in 1 day
Work done by (A + B + C) in 1 day
The ratio of the time taken by A to the time taken by B and C together = 1.5 : 1 = 3 : 2
Let A complete the task in 3
Work done by (A + B + C) in 1 day
Work done by A in 1 day =
Work done by B in 1 day = Work done by (A + B) in 1 day – Work done by A in 1 day
Hence, the correct answer is 60 days.
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