Danny drove to Yosemite Park from his home at 60 mph. on his trip home, his rate was 10 mph less and ...?

Answer: 300 mi.

Step-by-step explanation:

Let t denote the time spent driving to the park at 60 mph

Let t + 1 be the time required to return home from the park at 50 mph

Distance to the park = 60t

Distance from the park = 50(t + 1)

Clearly, the distances must be matched, therefore we equate them.

60t = 50(t + 1)

60t = 50t + 50

10t = 50

t = 50/10

t = 5 hours

Next, we calculate the distance. You can use either equation for distance to or from the park:

60t = 60(5) = 300 miles

or

50(t+1) = 50(6) = 300 miles