Juwan went to the park traveling 25 mph and returned home traveling 20 mph. If the total trip took 9 hours, how long did Juwan travel at each speed?

Answer: Juwan spent 4 hours going to the park and 5 hours returning from the park.

Step-by-step explanation:

Let t represent the time it took Juwan to travel to the park.

Juwan went to the park traveling 25 mph.

Distance = speed * time

Distance travelled while going to the park is

25 * t = 25t

Juwan returned home traveling 20 mph. If the total trip took 9 hours, it means that Juwan spent (9 - t) hours in returning home. Distance travelled while returning home is

20 (9 - t) = 180 - 20t

Since the distance travelled is the same, it means that

25t = 180 - 20t

25t + 20t = 180

45t = 180

t = 180/45 = 4 hours

Time spent in going to the park is 4 hours.

Time spent in returning from the park is 9 - 4 = 5 hours