exam Maths Puzzle Numerical Ability

solve problem using descartes rule of signs in section 3.4

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A bus leaves a station at 1 P.M., traveling west at an average rate of 44 mi/h. One hour later a second bus leaves the same station, traveling east at a rate of 48 mi/h. At what time will the two buses be 274 mi apart? What is the least positive number of coins that is impossible to give as change for a dollar?