Rest Car Travel

May 4, 2008 11:53 AM | Alaskan Photo Tours

Rest Car Travel
How long will it take for the car to catch up with the truck??(more details below) please help!?

A truck traveling at an average rate of 45 miles per hour leaves a rest stop. Fifteen minutes later a car traveling at an average rate of 60 miles per hour leaves the same rest stop traveling the same route.How long will it take for the car to catch up with the truck?

Since we are dealing with miles per hour, we better change the 15 minutes to a fractional hour.
15 min/60 min=1/4 or 1/4th hr
Dist=rate * time
Truck Dist= 45 * (t +1/4)
Car Dist= 60(t)
car and truck distance is the same so:
45 * (t +1/4)=60(t)
45t +11.25=60t
11.25=15t
11.25/15=t
.75 or 3/4=t
3/4 hour = 3/4(60) =45 minutes

After 45 minutes the car catches truck which has been traveling for 15 +45 = 1 hour.

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