I drove to the beach at a rate of 40 miles per hour. If I had driven at a rate of 38 miles per hour instead, then I would have arrived 10 minutes later. How many miles did I drive?
d/40 = d/ 38 - 1/6 ( 1/6 hr = 10 minutes )
d = 1/6 / ( 1/40 - 1/38) = 126 2/3 mile
I drove to the beach at a rate of 40 miles per hour. If I had driven at a rate of 38 miles per hour instead, then I would have arrived 10 minutes later. How many miles did I drive?
First, solve for how long it took to drive it.
However fast he drove, he went the same distance so D40 = D38
And Distance = Velocity • Time
(40 • T) = (38 • (T + 1/6) ) note that we're solving for miles per hour so 10 minutes is 1/6 of an hour
40T = 38T + 38/6
2T = 38/6
T = 19/6
Distance = Velocity • Time
D = (40) • (19/6)
D = 760/6
D = 126.67 miles
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