Two cars, an Edsel and a Studebaker, are 635 kilometers apart, with Edsel moving behind Studebaker(otherwise they won't never meet, by the speeds given). They start at the same time and drive in one direction . The Edsel travels at a rate of $70$ kilometers per hour and the Studebaker travels $57$ kilometers per hour. In how many hours will the two cars meet?
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1$\begingroup$ how many km are removed from the remaining distance every hour ? then apply cross-muiltiplication. $\endgroup$– zwimCommented Dec 2, 2018 at 11:47
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$\begingroup$ Divide the total distance traveled by the total distance the two cars travel in one hour. $\endgroup$– N. F. TaussigCommented Dec 2, 2018 at 11:55
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$\begingroup$ Depending upon what direction they are traveling they may not meet but in other direction they will meet. At that time what will the impact be? $\endgroup$– William ElliotCommented Dec 3, 2018 at 0:30
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1 Answer
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Edsel will have to cover $635$ kilometers faster compared to Studebaker in order to meet him. Further, he's moving $70-57=13$ km/h faster than Studebaker. So, he'll meet Studebaker in: $$T=\frac{635\text{km}}{13\text{km/hr}}=\boxed{48.846\text{ hr}}$$