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X can finish a work in 144 days, Y can finish a work in 240 and Z can finish the same piece of work 320 days. If X, Y and Z are working together to co
Question

X can finish a work in 144 days, Y can finish a work in 240 and Z can finish the same piece of work 320 days. If X, Y and Z are working together to complete a work, how many days will they require to complete the work?

A.

70(10/41) 

B.

69(10/41)

C.

71(10/41)

D.

72(10/41)

Correct option is A

X = 144 days
Y = 240 days
Z = 320 days
1 day work
= 1/144 + 1/240 + 1/320
LCM = 2880
= (20 + 12 + 9) / 2880
= 41 / 2880

Time required
= 2880 / 41
= 70(10/41) days

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