Sarah can bicycle a loop around the north part of lake washington in 2 hours and 30 minutes. if she could increase her average speed by 1 km/hr, it would reduce her time around the loop by 7 minutes. how many kilometers long is the loop?

The length of the loop is approximately 49.58 km.

Step-by-step explanation:

Given:

Time required to ride bicycle in loop = 2 hours and 30 mins

Now we know that;

60 mins = 1 hour

30 mins =0.5 hour

so 2 hour and 30 mins =

∴ Time required to ride bicycle in loop = 2.5 hrs

Let the speed at which she is riding the bicycle be 's'.

and let Total distance of the loop be 'd'

Now we know that;

Distance is given by speed multiplied by time.

framing in equation form we get;

Now Given:

If she increase the speed by 1 km/hr, it would reduce her time around the loop by 7 minutes.

Hence we can say;

Speed =

Also time will be reduce to 7 mins.

7 mins  =0.12 hrs

Now time = 2.5-0.12 =2.38

Again Distance is given by speed multiplied by time.

framing in equation form we get;

Now distance is same for both so we will calculate the speed by equating the equations.

Now Speed = 19.83 km/hr

Length of the loop (d) =

Hence the length of the loop is approximately 49.58 km.

5,000

Step-by-step explanation: