GATE | GATE 2017 MOCK II | Question 3

If there are 5 persons who can work individually and complete a work in 2, 4, 5, 6 and 8 hours respectively. If they work together then how much time will it take to finish the work ?

(A) 2.36 hours
(B) 1.24 hours
(C) 0.80 hours
(D) 2.56 hours


Answer: (C)

Explanation: In 1 hour, ½ + ¼ + ⅕ +⅙ + ⅛ = 149/120 = 1.24 is the work done.
Hence, total time to complete the work would be = 1/1.24 = 0.80 hours


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