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.
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.
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supplementary angles
Answer:
Step-by-step explanation:
is this a true false? If yes then its true
Answer:
-3 -4
Step-by-step explanation:
Bc it's why not ...... ummmmmmm
Answer:
The scale used is 1 : 12500. And the scale is in centimetres
Step-by-step explanation:
Given:
state park are 1000 meters from each other.
On a map,the two fields are 8 centimetres apart
To Find:
The scale used by the map = ?
Is it the metric scale?
Solution:
Actual distance between the parks is 1000 meters. But in map the distance is 8 centimetres
so the scale for map to actual distance is
8 cm : 1000 m
Now,
1 m = 100 m
So
1000 m = 100000 cm
Thus
8 cm : 100000 cm
On Reducing we get,
1 : 12500
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