Question

Michael lives in the northwest corner of Clark County. Clara
lives 44 kilometers away in the southeast corner and the office
where they work is directly between them. On Monday, Michael
took the bus into work, taking a direct route at 47 kilometers per
hour. Clara left at the same time, taking her car along a direct
route at a speed of 61 kilometers per hour. The two coworkers
arrive at the office at the same time. How long did the commute
take? Round your answer to the hundredths place.

Answer 1

Answer:

About 0.41 hours

Step-by-step explanation:

THe distance between Michael and Clara is 44 km.

We know D = RT,

Where

D is distance

R is rate (speed)

T is time

For Michael, we can write:

D = 47t

For Clara, we can write:

D = 61t

If we let michael's distance be x, Clara's distance would be 44 - x

So, we can say:

x = 47t

and

44 - x = 61t

Putting first equation into 2nd, we get:

44 - 47t = 61t

SOlving:

44 - 47t = 61t

44 = 61t + 47t

44 = 108t

t = 44/108 = 0.41 hours

The commute took 0.41 hours