Question 909281
A plane left Kennedy Airport tuesday morning for a 605−mileˏ 5−hour trip.
For the first part of the tripˏ the average speed was 115 mph.
For the remainder of the tripˏ the average speed was 125 mph. How long did the plane fly at each speed.
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let x=distance traveled during 1st part of trip
605-x=distance traveled during remainder of trip
distance/speed=travel time
{{{x/115+(605-x)/125=5}}}
125x+115(605-x)=5*125*115
125x+69575-115x=71875
10x=2300
x=230
605-x=605-230=375
230/115=2
375/125=3
How long did the plane fly at each speed.
At 115 mph: 2 hrs
At125 mph: 3 hrs