Question

X and Y together can do a piece of work in 10days. y and z can do a same work together in 12 days. while x and z can do together in 15days. how long each will take do it separately.

Answer 1

X and y together can do a work in 10 days y and z together can do it in 12 days and x and z together can do it in 15 days. In how many days each one can do it separately?

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5 ANSWERS



Edwin Koh

Answered Jan 1, 2018 · Author has 693 answers and 201.1k answer views

X + Y = 1/10
Y + Z = 1/12
Z + X = 1/15
X + Y + Z = 1/8
X = (X + Y + Z ) - ( Y + Z ) = (1/8) - ( 1/12) = 1/24 => Edit: X takes 24 days
Y = (X + Y + Z ) - ( Z+ X ) = (1/8) - ( 1/15) = 7/120 => Y takes 120/7 days
Z = (X + Y + Z ) - ( X + Y ) = (1/8) - ( 1/10) = 1/40 => Z takes 40 days.

Answer 2

hope the i briefly explained the steps