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Question Number 25295 by Mr eaay last updated on 07/Dec/17

$$\mathrm{X}\mathrm{and}\mathrm{Y}\mathrm{can}\mathrm{do}\mathrm{a}\mathrm{work}\mathrm{in}30\mathrm{days}\mathrm{and}$$$$60\mathrm{days}\mathrm{respectively}.\mathrm{If}\mathrm{they}\mathrm{work}\mathrm{on}$$$$\mathrm{alternate}\mathrm{days}\mathrm{beginning}\mathrm{with}\mathrm{X},\mathrm{in}$$$$\mathrm{how}\mathrm{many}\mathrm{days}\mathrm{will}\mathrm{the}\mathrm{work}\mathrm{be}$$$$\mathrm{completed}?$$

Answered by mrW1 last updated on 07/Dec/17

$$\frac{1}{30}+\frac{1}{60}=\frac{1}{20}$$$$i.e.XandYcando\frac{1}{20}oftheworkin$$$$oneday.Tocompletetheworkeach$$$$ofthemneeds20days.i.e.in40days$$$$theworkwillbecompleted.$$

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