Two joggers, one averaging 7 mph and one averaging 5 mph, start from a designated initial point. The slower jogger arrives at the end of the run 45 minutes after the other jogger. Find fhe distance of the run.
Answers
basically all you have to do is count out the factors until you reach two number of 45 apart
DIFFERENCE
7MPH 5MPH BETWEEN THEM
7 5 2
14 10 4
21 15 6
28 20 8
35 25 10
42 30 12
49 35 14
56 40 16
63 45 18
70 50 20
77 55 22
84 60 24
91 65 26
98 70 28
105 75 30
112 80 32
119 85 34
126 90 36
133 95 38
140 100 40
147 105 42
154 110 44
161 115 46
considering the differences are even it means it has to fall in the middle. if you count from the top it is 22.5 numbers down giving you the number of miles.
I'm sure there is an easier way but this is how i would solve it. :)
Final answer:
The distance of the run is 13.125 miles. The total time for the slower jogger was found to be 2.625 hours. Thus, both joggers ran the same distance, but at different speeds resulting in different finish times.
Explanation:
The problem deals with the concept of relative speed in mathematics. To find the distance of the run, we first need to figure out the time it took for each jogger to finish the run. We know that the slower jogger finished 45 minutes after the faster one. Since the speed equivalence is expressed in miles per hour (mph), let's convert 45 minutes into hours by dividing 45 by 60, giving us 0.75 hours.
Given that the slower jogger runs at 5 mph, and they took 0.75 hours longer than the faster one, we know they ran for a certain time 't', so we can represent this as t = total time of slower jogger's run.
The faster jogger ran at 7 mph. Since the jogger was 0.75 hours ahead of the slower one, the time would be represented by t - 0.75 hours = total time of faster jogger's run. The distance travelled by each jogger is 'speed x time'.
Following this, we equal these distances because it's the same course: 5t = 7(t - 0.75).
Solving this equation gives us t = 2.625 hours (total time for slower jogger). To find the run's distance, we can now substitute total time into either jogger's speed x time calculation. We'll use the slower jogger here: Distance = 5t = 5*2.625 = 13.125 miles.
Learn more about Relative Speed here:
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A-) 2x + 5
B-)2x - 5
C-) 1/2x +5
D-) 1/2x-5
Answers
Answer:
A
Step-by-step explanation:
it's so hard to explain but I'm pretty sure A is the answer
Answers
The graph y=x^2 is very basic so I suppose you know how it looks like.
It's like a U and starts from the origin (0,0)
The graph y=cosx is similar to y=x^2 but in a different way.
y=cosx doesn't pass from (0,0) it passes from (0,1) and then to (-1,0) and (1,0).
Basically, it goes like this..
~
If you know how the two graphs look like then you can understand why they intercept only two times.
solve for t.
Answers
To solve for t,
first, we add 2r to both sides of the equation, to get
5t - 2r + 2r = 25 + 2r
5t = 25 + 2r
Next, we divide both sides of the equation by 5, to get
Answer:
t= \frac{25+2r}{5}
Step-by-step explanation:
Answers
Answer:
B y is 3/4 of (x+y)
Step-by-step explanation:
a : is the same thing as a division sign or a fraction bar
so 1 : 3 = 1/3
this ratio says that for every 1 of x, there are 3 y's.
so 1x = 3y or y = 1/3x
x = 1; y = 3
x + y = 4
y / (x+y)
3 / 4
y is 3/4 of (x+y)
Answers
The parabola has the vertex at (6,27).
The y-intercept is (0,-81).
The equation of the parabola is:
y=0 at the x-intercepts.
The x-intercepts are x=3 and x=9.