Liana can do a piece of work in 10 days and Sanga in 15 days. In how many day can they do it working together.? (Time and Work)
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Answer:
Given:
Time taken by X to complete the work = 10 days
Time taken by Y to complete the work = 15 days
They both work together for 2 days
Formula used:
Efficiency = Total work/Time taken
Calculation:
LCM of 10 and 15 = 30 = Total work
Efficiency of X = 30/10 units/day
⇒ 3 units/day
Efficiency of Y = 30/15 units/day
⇒ 2 units/day
Total work done by X and Y together in 2 days = (3 + 2) × 2 units
⇒ 10 units
Work remaining = (30 – 10) units
⇒ 20 units
Time taken by Y to complete the work = 20/2 udays
⇒ 10 days
∴ Time taken by Y to complete the remaining work is 10 days
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AFCAT 20 Feb 2021 Shift 1 Memory Based Paper
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