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X can copy 80 pages in 20 hours, x and y together can copy 135 pages in 27 hours. Then y can copy 20 pages in ?
Answer & Solution
Correct Answer:
Option
A
$$\eqalign{
& \Rightarrow {{\text{R}}_{\text{x}}} \cr
& = \frac{{80}}{{20}} \cr
& {\text{ = 4 pages/hour}} \cr
& \Rightarrow {{\text{R}}_{{\text{x + y}}}} \cr
& = \frac{{135}}{{27}} \cr
& {\text{ = 5 pages/hour}} \cr
& \Rightarrow {{\text{R}}_{\text{y}}} \cr
& = {{\text{R}}_{{\text{x + y}}}} - {{\text{R}}_{\text{x}}} \cr
& = 5 - 4 \cr
& = 1{\text{ pages/hour}} \cr
& \therefore {\text{y can copy 20 pages in}} \cr
& = \frac{{{\text{20p}}}}{{{\text{1p/h}}}} \cr
& = {\text{ }}20{\text{ hours}} \cr} $$
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