the cyclist going at a constant rate of 18 miles per hour is passed by a motor-cyclist traveling in the same direction along the same path at 48 miles per hour. the motor-cyclist stops to wait for the cyclist 15 minutes after passing cyclist, while the cyclist continues to travel at constant rate, how many minutes must the motor-cyclist wait until the cyclist catches up?
Choose the correct choice from the following choices:
A) 25
B) 30
C) 35
D) 40
E) 45
For the 15 minutes the motor-cyclist continues to overtake the cyclist, she is going at 30 miles per hour faster than the cyclist.   Once the motor-cyclist stops, the cyclist is going at 18 miles per hour while the motor-cyclist is at rest   So the amount of time the cyclist will take to cover the distance between them is going to be in the ratio of the relative speeds. 30/18 * 15 or 25 minutes   25nswer is (25)
<result>A</result>
the cyclist going at a constant rate of 18 miles per hour is passed by a motor-cyclist traveling in the same direction along the same path at 48 miles per hour. the motor-cyclist stops to wait for the cyclist 15 minutes after passing cyclist, while the cyclist continues to travel at constant rate, how many minutes must the motor-cyclist wait until the cyclist catches up?