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X Y and Z together can do a piece of work in 4 days. If X and Y can do the work in5 days. Y and Z in 10 days, find the number of days in which X and Z. while workingtogether, will be able to finish the work. |
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Answer» Answer: x and Z can finish the work in 5 days Step-by-step EXPLANATION: =)(x+y+z)'s 1 day work=1/4 =)z's 1 day work=(x+y+z)'s 1 day work - (x+y)'s 1 day work =(1/4)-(1/5) =(5-4)/20 [By TAKING L.C.M] =1/20 =)x's 1 day work=(x+y+z)'s 1 day work-(y+z)'s 1 day work =(1/4)-(1/10) =(5-2)/20 [By taking L.C.M] =3/20 =)(x+z)'s 1 day work=(3/20)+(1/20) =4/20 =1/5 [By dividing both DENOMINATOR and numerator by 4] =)So,(x+z) can finish the work together in 5 days. |
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