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jeka94
3 years ago
10

It takes Max three hours to run 30 kilometers. Georges, on the other hand, travels the same distance in 2 hours and 20 minutes.

If both are to complete a 15-kilometre race, how long before Max will Georges arrive to the finish line?
Mathematics
1 answer:
Mamont248 [21]3 years ago
3 0

George will arrive 20 minutes before Max

It takes Max 3 hours(180 minutes) to run 30 km .

The rate can be calculated as follows:

rate = 30 / 180 = 1/6 km/ min

George uses 2 hours 20 minutes(140 minutes) to run 30 km.

The rate can be calculated as follows:

rate =  30 / 140 = 3/14 km / min

If both are to complete a 15-kilometre race, Therefore,

Max time will  be

1 / 6 = 15 / t

t = 15 × 6

t = 90 minutes

George time will be

3/14 = 15 / t

3t = 210

t = 210 / 3

t = 70 minutes

Time difference = 90  - 70 = 20 minutes

Therefore, George will arrive 20 minutes earlier than Max

read more: brainly.com/question/18594378?referrer=searchResults

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Step-by-step explanation:

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3 years ago
Luke has some boxes that are all cubes of the same size.
Scrat [10]

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3 years ago
Is (3,-3)(3,−3)left parenthesis, 3, comma, minus, 3, right parenthesis a solution of the graphed system of inequalities?
defon

Hi there!  

»»————- ★ ————-««

I believe your answer is:

No.

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

  • If we mark the point at (3, -3), the we can tell that the point does not lie in any shaded region.
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See the graph attached.

⸻⸻⸻⸻

»»————- ★ ————-««  

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7 0
3 years ago
* WORTH 30 Points *
yawa3891 [41]
Any multiple of (-2x+3y=18) would constitute an "other equation" forming a system with an infiinite number of solutions.  The reason for that is that the two equations would be "dependent."

On the other hand, looking at the system

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we see that there is no solution.  Why?  Because -2x + 3y cannot equal 18 and 19 at the same time.  You'd have two non-intersecting, parallel lines.

</span>
7 0
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