Answer to Question #247368 in Algebra for M.l

Question

The distance between cities  X  and  Y  is equal to  78  kilometers. A cyclist leaves  X  and goes to  Y  at a constant speed of  13  kilometers per hour. At the same moment, a motorcyclist leaves  Y  and goes towards  X , the speed of the latter can vary between  35  and  41  km/h throughout the journey. After meeting each other, the motorcyclist goes  14  minutes more towards city  X , and then turns back and returns to  Y . What is the minimum difference in time the cyclist and the motorcyclist arrive to  Y ? Express the answer in minutes.