Problema Solution

oN A RECENT RIP, bILL'S CAR TRAVELED 20 MPH FASTER ON THE first 32 miles than it did on the remaining 154 miles. The total time for the trip was 4 hours. Find the speed of Bills car on the the first part of the trip.

Answer provided by our tutors

let


v + 20 = the speed on the first 32 miles


v = the speed on the remaining 154 miles, v>0


t = 4 hr the total time of the trip


since speed = distance/time follows time = distance/speed


32/(v + 20) + 154/v = 4


by solving we find:


v = 44 mph


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44 + 20 = 64 mph


the speed of Bill's car on the first part of the trip is 64 mph.