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Question

X and Y can do a piece of work in 72 days. Y and Z can do it in 120 days. X and Z can do it in 90 days. How many days does it take if all the three can work together?


  1. 150 days

  2. 80 days

  3. 60 days

  4. 100 days
     


Solution

The correct option is C

60 days


Work done by (X + Y)’s in one day = 172(1)
Work done by (Y + Z)’s in one day = 1120(2)
Work done by (Z + X)’s in one day = 190(3)

(1) + (2) + (3) gives,
2(X+Y+Z)=172+1120+190=5+3+4360=12360=130
(X+Y+Z)s one day work =12×130=160
 They will completed the work in 60 days.

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