A round trip takes 3.5 hours going one way and 2 hours to return, if the trip back is at a speed 15 mph faster than the speed of the first trip. Find the speeds each way and the distance between the places.
Accepted Solution
A:
Answer:first trip 20 mph, trip back 35 mph, distance = 70 miles.Step-by-step explanation:A round trip takes 3.5 hours going one way and 2 hour to return.Let the speed of first trip = v mphGiven that the trip back is at a speed 15 mph faster than the speed of first trip.Therefore, the speed of trip back = ( v+15 ) mphLet the Distance between places = d milesNow we use the formula [tex]Time=\frac{Distance}{Velocity}[/tex][tex]\frac{Distance}{Velocity}[/tex] = 3.5and [tex]\frac{D}{V+15}[/tex] = 2dividing these two[tex]\frac{v+15}{v}[/tex] = [tex]\frac{3.5}{2}[/tex] 2v + 30 = 3.5vv = 20 mphd = 3.5 × 20 = 70 milesThe speed of the first trip is 20 mph and the speed of trip back (20+15) 35 mph. and the distance is 70 miles.