Response:
The loop's length is roughly 49.58 km.
Step-by-step details:
Given:
Duration to cycle the loop = 2 hours and 30 minutes
It is known that;
60 minutes = 1 hour
30 minutes = 0.5 hour
therefore, 2 hours and 30 minutes =
∴ Time to cycle the loop = 2.5 hours
Let 's' denote the cycling speed.
Denote the total loop distance as 'd'
From our understanding;
Distance equals speed times time.
Representing this as an equation we have;
Given:
If her speed increased by 1 km/hr, the time taken around the loop would decrease by 7 minutes.
As a result, we can say;
Speed =
The time then will be shortened by 7 minutes.
7 minutes = 0.12 hours
Consequently, time = 2.5 - 0.12 = 2.38
Again, Distance is calculated as speed times time.
This can be expressed with equations;
The distances are equivalent in both scenarios, thus we will determine speed by equating the equations.
So, Speed = 19.83 km/hr
Loop length (d) =
Therefore, the loop length is approximately 49.58 km.