Question 885625
A truck traveled at 17 mph for the first part of a 124 mile trip, then changed his speed to 30 mph for the remaining part of the trip. If the entire trip took 5 hours, how many hours are traveled at each speed?
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let x=distance truck traveled at 17 mph
124-x=distance truck traveled at 30 mph
travel time=distance/speed
{{{x/17+(124-x)/30=5}}}
lcd:17*30=510
30x+17(124-x)=5*510
30x+2108-17x=2550
13x=442
x=34
34/17=2
(124-x)/30=90/30=3
hours are traveled at 17 mph=2
hours are traveled at 30 mph=3