Brian drives 215 miles at an average speed. He then travels 75 more miles at a speed
of 15 miles per hour. If the drive times for both sections of the journey are the same,
calculate the average speed for the first part of his trip. (Let the average speed = x.)

Respuesta :

His average speed for the first trip is 43 mph

Since Brian's average speed is x and he travels the first part for 215 miles in time t.

So, his distance d = xt

Also, the travels 75 more miles at a speed of 15 mph.

Since distance = speed time, the time he takes to cover this distance is

t' = distance/speed = 75 mi/15 mph = 5 hours

Since he covers both distances in the same time, we have that t = t' = 5 hours.

So, his average speed for the first trip x = d/t

= 215 mi/5 h

= 43 mph

His average speed for the first trip is 43 mph

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