<PRE><B>Question 110994</B>
In a race, Car A starts 1 mile behind Car B. Car A is traveling at 55 mph, while Car B is traveling at 40 mph.  How long will it take for Car A to overtake Car B?
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Car A DATA:
Rate = 55 mph ; Distance : x+1 mile ; Time = d/r = (x+1)/55 hrs.
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Car B DATA:
Rate = 40 mph ; Distance : x miles ; Time = d/r = x/40
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A time = B time
(x+1)/55 = x/40
40(x+1) = 55x
15x = 40
x = 8/3 miles
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Time = x/40 = (8/3)/40
Time = 1/15 hr. = 15 minutes
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Cheers,
Stan H.</PRE>