SOLUTION: alex and jenny are on a road trip and they are at a rest stop. if jenny leaves first driving at 50mph, and alex leaves 30 minutes later driving at 65 mph, how long will it take for

Question 1097534: alex and jenny are on a road trip and they are at a rest stop. if jenny leaves first driving at 50mph, and alex leaves 30 minutes later driving at 65 mph, how long will it take for alex to catch up to jenny?
Answer by ikleyn(52908) (Show Source): You can put this solution on YOUR website!
.

The solution and the answer

 =  =  hours = 1 hour and 40 minutes,



Explanation


0.5 = 0.5 of an hour = 30 minutes given in the condition.


0.5*50 = 25 in the numerator is the distance between Alex and Jenny when Alex started his move.


65-50 = 15 = 15 mph in the denominator is their relative speed = the rate of decreasing the distance between them.

There are other ways to solve this problem, but this one is the shortest.

---------------
See the lesson
- Travel and Distance problems for two bodies moving in the same direction (catching up)
in this site.

RELATED QUESTIONS
Alex and Jenny are on a road trip and they are at a rest stop. If Jenny leaves first... (answered by josgarithmetic)

alex and jenny are on a road trip and they are at a rest stop. if jenny leaves first... (answered by ikleyn)

Lou leaves for a cross country excursion on a bicycle travelling at 20 miles per hour.... (answered by josgarithmetic,MathTherapy)

Lou leaves for a cross-country excursion traveling on a bicycle at 21 miles per hour. His (answered by macston)

John and Alex start driving home from a party. Jon drives 9 miles north and Alex drives... (answered by Alan3354,MathTherapy)

Sam drives from City A to City B, and he takes 8 hours for the entire trip. Richard... (answered by ikleyn,Edwin McCravy,MathTherapy)

Alex and Brian are driving golf carts on the same path in the same direction. Alex's cart (answered by richwmiller)

George and Carl are college roommates and are heading to their own homes for spring... (answered by richwmiller)

Ed leaves the L.A. area to visit Albuquerque, 1000 miles away, at 4:20 AM, driving at a... (answered by richwmiller)