Question
Download Solution PDFA works thrice as fast as B. If B can complete a work in 288 days independently, then find the number of days in which A and B can together finish the work.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A works thrice as fast as B.
B can complete a work in 288 days independently.
Formula used:
Work = Rate × Time
Combined Work Rate = A's Rate + B's Rate
Time to Complete Work Together = Total Work / Combined Rate
Calculations:
B's rate = 1/288 (work per day)
A's rate = 3 × B's rate = 3/288
Combined rate = A's rate + B's rate
⇒ Combined rate = 3/288 + 1/288
⇒ Combined rate = 4/288
Time to complete work together = 1 / Combined rate
⇒ Time = 1 / (4/288)
⇒ Time = 288 / 4
⇒ Time = 72 days
∴ The correct answer is option (4).
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