Bill started west on road U.S. 50, riding a bicycle at an average rate of 9 mph. Four hours later Charles started after Bill on a motor cycle and overtook him in 2 hours. What was Charles' rate? Which equation could be used to solve for Charles' rate if it is represented by x?
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How long (total) has Bill been travelling when Charles overtakes him?
Use that time to find the distance that Charles traveled in two hours.
You should know
rate * time = distance
(or speed* time= distance or velocity * time=distance.... they all mean the same thing)
Charles' rate if it is represented by x
so replace rate with x:
x * time= distance
next, read this
Charles started after Bill on a motor cycle and overtook him in 2 hours.
that means Charles was driving for 2 hours. His time is 2 hours. replace time with 2:
x*2 = distance or
2x = distance
now you need to find the distance Charles traveled. It will be the same distance that Bill traveled, going at 9 mph for 6 hours