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.

Question

Mathematics

Spears

30 June, 01:24

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.

+5

Answers (1)

Know the Answer?

Siena Blevins · Answer 1

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