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shepuryov [24]
3 years ago
12

A runner starts at the beginning of a runners' path and runs at a constant rate of 6 mi/hr. Fifteen minutes later a second runne

r begins at the same point, running at a rate of 8 mi/hr and following the same course. How long will it take the second runner to reach the first?
Mathematics
2 answers:
MatroZZZ [7]3 years ago
6 0

Answer:

45 minutes

Step-by-step explanation:

let after t hours they meet after the second runner starts.

15 minutes=1/4 hour.

6(t+1/4)=8t

6t+6/4=8t

8t-6t=6/4

2t=3/2

t=3/2* 1/2=3/4 hours=45 minutes

svlad2 [7]3 years ago
3 0

Answer: it will take 1 hour before the second runner reaches the first runner

Step-by-step explanation:

Let t represent the time it the first runner to cover a certain distance.

Speed of the first runner is 6 miles per hour.

Distance = speed × time

Time = distance / speed

Distance covered by the first runner

in t hours at 6 miles per hour is 6t

Fifteen minutes later a second runner begins at the same point, running at a rate of 8 mi/hr and following the same course. This means that for the to meet, the second runner will cover the same distance covered by the first runner at a time of t - 15 minutes = (t - 1/4) hours. Therefore

Distance covered at 8 miles per hour at (t - 1/4) hours

would be 8(t - 1/4) = 8t - 2

Since they would cover the same distance, then

6t = 8t - 2

8t - 6t = 2

2t = 2

t = 2/2 = 1

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Write the equation of the line that goes through each set of points------ (-1.6),(3-,2)
Maksim231197 [3]

Answer:

The equation that goes through this set of points is y = -x + 5

Step-by-step explanation:

In order to find this, we need to start by finding the slope. For that we use the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (6 - -2)/(-1 - 3)

m = 4/-4

m = -1

Now that we have this, we can use the slope and a point in point-slope form to get the equation.

y - y1 = m(x - x1)

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3 0
3 years ago
All of the following ratio are equivalent to the ratio 5/8 EXCEPT
hammer [34]
The best answer here would be choice B
4 0
3 years ago
I need the answer for this question.
Grace [21]
If the whole angle (ABC) is equal to 133, we can add angles ABD and DBC to find x.

10x+13=133
Subtract 13 from both sides to get
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Divide both sides by 10 to get that x=12

We can now plug the value of x into ABD to find its measure.
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So angle ABD is equal to 88 degrees.

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8 0
3 years ago
Charlotte is working two summer jobs, making $7 per hour washing cars and making $15 per hour clearing tables. In a given week,
FrozenT [24]

Answer:

Claire must work 4 hours cleaning tables and 5 hours washing cars to earn more than $ 90.

Since Claire is working two summer jobs, making $ 7 per hour washing cars and making $ 15 per hour clearing tables, and in a given week, she can work at most 9 total hours and must earn a minimum of $ 90, to determine one possible solution the following calculation must be performed:

15 x 9 = 135

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6 x 7 + 3 x 15 = 42 + 45 = 87

5 x 7 + 4 x 15 = 35 + 60 = 95

Therefore, at a minimum, Claire must work 4 hours cleaning tables and 5 hours washing cars to earn more than $ 90.

3 0
1 year ago
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