Answer:
The speed of the cyclist is 10 miles per hour .
Step-by-step explanation:
Given as :
The distance cover by cyclist = = 20 miles
The distance cover by biker = = 6 miles
The speed of biker = = s mph
The speed of cyclist = = 7 + s mph
The time taken by both cyclist and biker = t hour
Now. Distance = Speed × Time
So, =
× t
Or, 20 = s × t
Or, t = .....1
And ,
=
× t
or, 6 = s t
Or, t = ....2
From Eq 1 and 2
I.e =
Or, 20 s = 6 ( 7 + s )
Or, 20 s - 6 s = 42
Or, 14 s = 42
∴ s =
I,e s = 3 miles per hour
So, The speed of biker = = s = 3 miles per hour
And The speed of cyclist = = 7 + s = 7 + 3= 10 miles per hour
Hence The speed of the cyclist is 10 miles per hour . Answer