Question

The 600-mile trip to the lake took twice as long as the 240-mile trip to the ocean. If the speed to the ocean was 6 mph less than the speed to the lake, find both speeds and both times.

Answer 1

The trip to the ocean took H hours. The trip to the lake took 2H hours.
The ocean was 240 miles away. The lake was 600 miles away.
The velocity of the trip to the ocean was 240/H miles per hour. To the lake, 600/2H = 300/H miles per hour.

So if we know that the trip to the ocean was 6mph slower than the other one, we get

Velocity ocean = Velocity lake - 6mph.
240/H = 300/H - 6
240 = 300 - 6H
6H = 60
H = 10 hours.
Velocity to ocean = 24 mph.
Velocity to lake = 30 mph.

Answer 2

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