Question

Hugo lives in the northwest corner of Greene County, Lena lives 29 miles away in the southeast corner, and the office where they work is directly between them. On Monday, Hugo took the bus into work, taking a direct route at 32 miles per hour. Lena left at the same time, taking her car along a direct route at a speed of 36 miles per hour. The two coworkers arrive at the office at the same time. How long did the commute take? If necessary, round your answer to the nearest minute.

Answer 1

Using the relation between velocity, distance and time, it is found that the commute took 48 minutes.

What is the relation between velocity, distance and time?

Velocity is distance divided by time, that is:

$v = \frac{d}{t}$

For Lena, we have that d = 29, v = 36, hence the time in hours is given by:

$t = \frac{d}{v} = \frac{29}{36} = 0.8056$

In minutes, the time is given by:

tM = 0.8056 x 60 = 48.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

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