Question

I drove to my summer home at 75 mph. The next day I drove back, it took me a hour longer because of traffic, and I drove at 50 mph. How long was the drive on the first day?

Answer 1

2 hours

Explanation:

time it took on the first day = x

speed = d/t

time it took on second day = x + 1

75 = d/x

50 = d/x + 1

75x = d

50 = 75x/(x + 1)

50(x + 1) = 75x

50x + 50 = 75x

50 = 25x

x = 50/25

x = 2