1.

X, Y and Z can do a piece of work in 60, 90 and 180 days respectively. In how many days X can do the work if he is assisted by Y and Z on every third day?1). 452). 153). 754). 60

Answer»

X can complete the work in = 60 days

∴ X’s 1 day’s work = 1/60

Y can complete the work in = 90 days

∴ Y’s 1 day’s work = 1/90

Z can complete the work in = 180 days

∴ Z’s 1 day’s work = 1/180

X completes 1/30 work in 2 days.

∴ (X + Y + Z)’s 3rd day work,

1/60 + 1/90 + 1/180

⇒ 6/180

⇒ 1/30

(X + Y + Z) can do 1/30 + 1/30 work in 3 days = 1/15

∴ They can complete the work in = 15 × 3 = 45 days


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