Question
Download Solution PDFA is 40% more efficient than B. How much time will both, working together, take to finish the work, which B alone can finish in 36 days?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A is 40% more efficient than B
B can complete the task in 36 days.
Concept used:
Total work = Efficiency of the worker × time taken by the worker
Calculation:
Let the efficiency of B be 10a
So, efficiency of A = 10a × 140%
⇒ 14a
So, total work = 10a × 36
⇒ 360a
Now,
If they both work then time = 360a/(14a + 10a)
⇒ 360a/24a
⇒ 360/24
⇒ 15
∴ The required answer is 15 days.
Shortcut Trick
A is 40% more efficient than B, then the efficiency of A : B = 140 : 100 = 7 : 5
B alone can finish in 36 days, then total work = (5 × 36) = 180 unit
If A & B both working together, time taken = 180/(7 + 5) = 180/12 = 15 days
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