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X and Y toget...

Question

X and Y together can finish a work in 15 days. They worked on it for 10 days and then Y left. The remaining work was done by X alone in 15 days. In how many days can X alone finish the work?

18 days

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30 days

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17.5 days

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45 days

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22.5 days

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Solution

The correct option is D
45 days

Together (X+Y) did $10 \times \frac{1}{15} = \frac{2}{3}$ rd of the work

Rest of the work $\frac{1}{3}$ was done in 15 days. Hence X’s complete time = 3 $\times$ 15 = 45 days

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X and Y together can finish a work in 15 days. They worked on it for 10 days and then Y left. The remaining work was done by X alone in 15 days. In how many days can X alone finish the work?

The correct option is D 45 days Together (X+Y) did 10 × 115 = 23 rd of the work Rest of the work 13 was done in 15 days. Hence X’s complete time = 3 ×15 = 45 days

The correct option is D
45 days

Together (X+Y) did $10 \times \frac{1}{15} = \frac{2}{3}$ rd of the work

Rest of the work $\frac{1}{3}$ was done in 15 days. Hence X’s complete time = 3 $\times$ 15 = 45 days