Question
Download Solution PDFIt takes A and B, 3 and 6 hours, respectively, to complete a certain work. If they work on the alternate hour. How long will it take them to accomplish the task?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven :
A can do work in 3 hours.
B can do work in 6 hours.
Formula Used :
Work done = time × efficiency
Calculation :
Total work = LCM(3, 6) = 6
Efficiency of A = 2
Efficiency of B = 1
Since they work on alternate days starting with A,
So,
⇒ 2 hours = 3 units
Now to complete 6 units of work
⇒ 2 × 2 hours = 3 × 2 units
⇒ 4 hours = 6 units
∴ The correct answer is 4 hours.
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