Men-are-running-in-a-line-along-a-road-with-velocity-9-km-hr-behind-one-another-at-equal-distances-of-20-m-Cyclists-are-also-riding-along-the-same-line-in-the-same-direction-at-18-km-hr-at-equal-inte

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Question Number 16491 by Tinkutara last updated on 23/Jun/17

$$\mathrm{Men}\mathrm{are}\mathrm{running}\mathrm{in}\mathrm{a}\mathrm{line}\mathrm{along}\mathrm{a}\mathrm{road}$$$$\mathrm{with}\mathrm{velocity}9\mathrm{km}/\mathrm{hr}\mathrm{behind}\mathrm{one}$$$$\mathrm{another}\mathrm{at}\mathrm{equal}\mathrm{distances}\mathrm{of}20\mathrm{m}.$$$$\mathrm{Cyclists}\mathrm{are}\mathrm{also}\mathrm{riding}\mathrm{along}\mathrm{the}\mathrm{same}$$$$\mathrm{line}\mathrm{in}\mathrm{the}\mathrm{same}\mathrm{direction}\mathrm{at}18\mathrm{km}/\mathrm{hr}$$$$\mathrm{at}\mathrm{equal}\mathrm{intervals}\mathrm{of}30\mathrm{m}.\mathrm{The}\mathrm{speed}$$$$\mathrm{with}\mathrm{which}\mathrm{an}\mathrm{observer}\mathrm{must}\mathrm{travel}$$$$\mathrm{along}\mathrm{the}\mathrm{road}\mathrm{in}\mathrm{opposite}\mathrm{direction}\mathrm{of}$$$$\mathrm{so}\mathrm{that}\mathrm{whenever}\mathrm{he}\mathrm{meets}\mathrm{a}\mathrm{runner}\mathrm{he}$$$$\mathrm{also}\mathrm{meets}\mathrm{a}\mathrm{cyclist}\mathrm{is}$$$$\left(1\right)9\mathrm{km}/\mathrm{h}$$$$\left(2\right)12\mathrm{km}/\mathrm{h}$$$$\left(3\right)18\mathrm{km}/\mathrm{h}$$$$\left(4\right)6\mathrm{km}/\mathrm{h}$$

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