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X alone can do a work in 300 hours. Y alone can do the same work in 450 hours. X, Y and Z together can do the same work in 90 hours. In how many hours can Z alone do the work?

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X alone can do a work in 300 hours. Y alone can do the same work in 450 hours. X, Y and Z together can do the same work in 90 hours. In how many hours can Z alone do the work?
1). 150
2). 180
3). 220
4). 200


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1 answers

1 vote
Answered by on | Votes 1 |

X alone can do a work = 300 hours

X’s one-hour work = 1/300

Y alone can do the work = 450 hours

Tap B’s one- hour work = 1/450

X, Y and Z together can do the work = 90 hours

(X + Y + Z)’s one-hour work = 1/90

Z alone can do the work in,

Z = (1/90 - 1/300 - 1/450) = (10 - 3 - 2)/900 = 5/900 = 1/180

Hence, Z can complete the whole work in 180 days.

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