Travel time word play?
On the first part of a 317 mile trip, a sales representative averaged 58 mph. The sales representative averaged only 52 mph on the remainder of the trip because of an increased volume of traffic. The total time of the trip was 5 hrs and 45 minutes. Find the amount of driving time at each speed.
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Total distance=D1+D2=D=317miles
First part speed=V1=58mph, second part speed=V2=52mph
Total time=T1+T2=5h & 45 min=5.75hrs
Find T1 and T2.
Distance=rate*time so D=V1*T1+V2*T2 so 317=58*T1+52*T2, express T1 as 5.75-T2, plug in, have 58*(5.75-T2)+52*T2=317, find T2 from here, then T1 and they are both in hours. If you want you can also find D1 and D2 afterward.