Motion Problems5. A hiker climbs a mountain path at the rate of 2 miles per hour. Following the same path downthe mountain the hiker has a rate of 4 miles per hour. If the round trip took 3 hours how far isit from the top to the bottom of the mountain?6. A man leaves the town of Elmsville at 8:00 am and drives to Oak City at a constant rate of 50miles per hour. Two hours later a woman leaves Elmsville following the same route to OakCity. The man and woman arrive in Oak City at 3:00 p.m. What was the rate of the woman?How far is Elmsville from Oak City?