SOLUTION: A courier who travels at the rate of 6.5 mi/hour is followed, after 30 minutes, by another who travels at the rate of 7.5 mi/hour. After how many more hours will the second over

Question 1171040: A courier who travels at the rate of 6.5 mi/hour is followed, after 30 minutes, by another
who travels at the rate of 7.5 mi/hour. After how many more hours will the second
overtake the first.
Answer by ikleyn(52914) (Show Source): You can put this solution on YOUR website!
.


From the point of view of the second courier, the first courier has a head-start of 6.5 miles x 0.5 of an hour,

which is, actually, 3.25 miles.


Every hour, the second courier diminishes the distance between them at the rate of (7.5-6.5) = 1 miles per hour.


Hence, the second courier will overtake the first one in  = 3.25 hours = 3  hours = 3  hours = 3 hours and 15 minutes.

Solved.

-----------

Good problem to exercise the common sense of mature students/persons and to explain the solution to the 2-nd grade students.

RELATED QUESTIONS
A courier who goes at the rate of 7.5 mi./h is followed, after 2.0 h, by another who goes (answered by ikleyn)

A courier who goes at the rate of 7.5 mi./h is followed, after 2.0 h, by another who goes (answered by ikleyn)

A courier who goes at the rate of 6.5 min/h is followed, after 4.0 h , by another who... (answered by josgarithmetic,ikleyn)

A courier who goes at the rate of 4.5mi./h is followed, after 6.0h, by another who goes... (answered by josgarithmetic)

Please help me solve this. A courier who goes at the rate of 6.5 mi./h is followed,... (answered by josgarithmetic)

A courier who goes at the rate of 4.5mi./h is followed, after 6.0h, by another who goes... (answered by greenestamps)

John travels from his home to the office at a rate of 25 miles per hour. By traveling 5... (answered by mathispowerful)

A courier travels due north at and average speed of 40km/h for 6 minutes to collect a... (answered by rapture1965,MathTherapy)

A truck travels at the rate of 80 kilometers per hour. How much distance will it travel... (answered by Cromlix)