Respuesta :
Answer:
The average speed of bicyclist is 120 miles per hours
The speed of wind is 30 miles per hours .
Step-by-step explanation:
Given as :
The distance that bicyclist cover = d = 30 miles
The time taken by bicyclist to cover 30 miles = t = 5 hours
Let the average speed of bicyclist = x miles per hours
Let The speed of wind = y miles per hours
Now, biking into wind
The time taken in return by bicyclist = 5 hours
∵ Speed = Distance × time
i.e x + y = d × t
∴ x + y = 30 miles × 5 hours
Or, x + y = 150 mi/h ...........A
Again
Now, biking against wind
The time taken in return by bicyclist = 3 hours
∵ Speed = Distance × time
i.e x - y = d × t
∴ x - y = 30 miles × 3 hours
Or, x - y = 90 mi/h ......B
Solving equation A and B
(x + y) + (x - y) = 150 mi/h + 90 mi/h
Or, (x + x) + (y - y) = 240 mi/h
Or, 2 x + 0 = 240 mi/h
∴ x = [tex]\dfrac{240}{2}[/tex]
i.e x = 120 mi/h
So,The average speed of bicyclist = x = 120 miles per hours
Now, Put the value of x into eq B
∵ x - y = 90 mi/h
Or, 120 mi/h - y = 90 mi/h
∴ y = 120 mi/h - 90 mi/h
I.e y = 30 mi/h
So,The speed of wind = y = 30 miles per hours
Hence,The average speed of bicyclist is 120 miles per hours
And The speed of wind is 30 miles per hours . Answer
