Answer:
Cycling Speed is 15km/hr
Step-by-step explanation:
Let the cycling speed of Peter be xkm/hr
His walking speed is (x-10km/hr)
Distance cycling is 2/3 x 30 = 20km
Distance walking 1/3 x 30 = 10km
Time taken in cycling = distance/ speed
Time = 20/x
This gives 20/x km/hr
Time walking is 10 / (x-10)
= 10/x-10) hrs
Total time = (20/x + 10/x+10)
Therefore 10/x+10/x-10 = 10/3
60(x-10)+30(x)=10x(x-10)
10x² - 190x+600=0
x²-19+60=0
x=<u>19±√361-240</u>
2
x=15 0r x =4
His cycling speed is 4
First find the slope between any two points:

Where

are the two points
So calculating the slope:

So the slope is

And our equation will be in the format of

where

and

So, now we have half of the equation:

Now to calculate b, we can plug in a point

and solve for b.
So

Lets use the point

So:

And then:

So our final equation is
1/5 = 0.2 = 20%
100% - 20% - 10% = 70%
He left 70%
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