A can complete a certain work in 30 days B is 25 more efficient than A and C is 20 moreefficient tha...........

Quantitative Aptitude (CGL) Time and work

A can complete a certain work in 30 days. B is 25% more efficient than A and C is 20% moreefficient than B. They all worked

together for 3 days. B alone will complete the remaining work in:

This questions was previously asked in

SSC CGL 4th March 2020 Shift-1

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18 days

12 days

20 days

15 days

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Explanation:

Let the efficiency of A be x.
Efficiency of B = 25% more efficient than A = 1.25x
Efficiency of C = 20% more efficient than B = = 1.5x
Efficiency ratio of A, B and C = x: 1.25x : 1.5x = 4 : 5 : 6
Total work = efficiency time = 4 30 = 120 units
3 days work = (4 + 5 + 6) 3 = 45 units
Remaining work = 120 - 45 = 75 units
Time taken to complete work by B = 75/5 = 15 days

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