B can work 3 times faster than A. They work together on a task and complete it i

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B can work 3 times faster than A. They work together on a task and complete it in a day. How long does it take for B alone to complete the task?

Options:

A . 32 hours

B . 48 hours

C . 3 days

D . 4 days

Answer: Option A
PART OF TASK COMPLETED BY A IN A DAY = 1/X PART OF TASK COMPLETED BY B IN A DAY = 3/X (B IS THRICE AS EFFICIENT AS A) (1/X)+(3/X) = 1 4/X = 1 X = 4 B COMPLETES 3/4TH OF THE TASK IN A DAY. HE TAKES 4/3 DAYS TO COMPLETE THE ENTIRE TASK. 4/3 DAYS = (4/3*24) HOURS = 32 HOURS

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