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Tom and John traveled in the same direction along the equal

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by Max@Math Revolution » Sat May 14, 2016 1:58 am
Tom and John traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour, respectively. After 15 minutes Tom passed John, Tom reaches a certain Gas station, how many minutes it takes John to reach the station?
A. 5 min
B. 6 min
C. 7 and 1/2 min
D. 8 min
E. 10 min

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by Max@Math Revolution » Mon May 16, 2016 6:57 pm
Since the question states "after 15 minutes", we can say Tom traveled 15/4km for 15 minutes as he can travel 15km per hour. Hence, using the same logic, we can say John traveled 10/4km as he travels 10km per hour. So, John has to travel (15/4)-(10/4)km=5/4km more. Since John's speed is 10km/hour, which means 1km/6minutes. As he has to travel 5/4km more, it is going to take him 6(5/4) minutes. Hence, 6(5/4)=15/2 minutes. The correct answer is C.
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