A standard man uses a bicycle of mass
31 kg to travel at constant speed along a
3 km long road up a hill. The hilltop is
225 m above the point of departure and the standard man needs
½ hour for the trip.
A second standard man chooses to climb the hill along the shortest route, a trail of
2 km length. If this standard man uses the same power, will he reach the hilltop before, after, or together with the standard man taking the longer route? (Assume this second standard man is also using a bicycle of mass
31 kg and both standard men depart at the same time.)