SOLUTION: A person riding a motorcycle leaves an hour after a person riding a bicycle. Both travel the same road. If the person riding the bicycle is traveling at 10 miles per hour and the p

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Question 1053907: A person riding a motorcycle leaves an hour after a person riding a bicycle. Both travel the same road. If the person riding the bicycle is traveling at 10 miles per hour and the person riding the motorcycle is traveling at 50 miles per hours, how long will it take the motorcycle to overtake the bicycle?
Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
One of the typical catchup problems.

RT=D. 
                     SPEED      TIME       DISTANCE
MOTORCYC              50         t           d
BIKE                  10        t+1          d

Make the system and solve.

Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.
A person riding a motorcycle leaves an hour after a person riding a bicycle. Both travel the same road.
If the person riding the bicycle is traveling at 10 miles per hour and the person riding the motorcycle is traveling
at 50 miles per hours, how long will it take the motorcycle to overtake the bicycle?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

t = 10%2F%2850-10%29 = 10%2F40 = 1%2F4 of an hour = 15 minutes.

10 = 10 miles is the distance between them when the motorcycle starts moving.

50-10 = 40 mph is their relative speed.

Must be solved momentarily.


Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
A person riding a motorcycle leaves an hour after a person riding a bicycle. Both travel the same road. If the person riding the bicycle is traveling at 10 miles per hour and the person riding the motorcycle is traveling at 50 miles per hours, how long will it take the motorcycle to overtake the bicycle?
Let time the motorbike takes, be T

Then time bicycle takes = T + 1

The following DISTANCE equation is thus formed: 50T = 10(T + 2)

Solve for T, the time the motorbike takes!