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?

Guest Jan 5, 2022

#1**0 **

d/40 = d/ 38 - 1/6 ( 1/6 hr = 10 minutes )

d = 1/6 / ( 1/40 - 1/38) = 126 2/3 mile

Guest Jan 5, 2022

#2**0 **

*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 D_{40} = D_{38}

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**

_{.}

Guest Jan 5, 2022

edited by
Guest
Jan 5, 2022