SOLUTION: George and Bill left town A for town B at the same time. George was riding a bicycle at a constant speed, while Bill was driving a car. Bill traveled 5 times faster than George.
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Question 640753: George and Bill left town A for town B at the same time. George was riding a bicycle at a constant speed, while Bill was driving a car. Bill traveled 5 times faster than George. Bill’s car broke halfway, and the rest of the way to the town B Bill traveled by foot with a speed equal to half of the George’s bicycle speed. Who got to B first: George or Bill? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! George and Bill left town A for town B at the same time.
George was riding a bicycle at a constant speed, while Bill was driving a car
Bill traveled 5 times faster than George.
Bill’s car broke halfway, and the rest of the way to the town B Bill traveled
by foot with a speed equal to half of the George’s bicycle speed.
Who got to B first: George or Bill?
:
Let b = George's biking speed
then
5b = Bill's driving speed
and
.5b = Bill's walking speed
:
let d = distance from A to B
:
George's travel time equation
t =
:
Bill's total travel time
t = +
:
t = = = =
From this we see that George's time is less than Bills, so will get to B first..
