Question

In June 2020, Parks Canada closed the Bow Valley Parkway (Highway 1A) to vehicle traffic
between Banff and Castle Junction near Johnston Canyon. This made for a bike ride that cut
through a small piece of Canada’s beautiful Rocky Mountains. A group of friends decide to cycle
the trip, 25 km each way, from Banff to Johnston Canyon and back. They ride towards Johnston
Canyon straight into the wind, and then have the wind at their backs on the return trip. The wind
adds or subtracts 5 km/h from their speed. If the group of friends wants to complete the round trip
in 3 hours, algebraically find the average speed with no wind the group needs to cycle. Complete
the distance speed time chart to help solve the question. Round your answer to the nearest
hundredth of a km/h.

Answer 1

The average speed with no wind that the group needs to cycle between Banff and Castle Junction is 16.67 km/h.

What is the average speed of travel?

The average speed (S) of travel is the distance (D) traveled divided by the time taken(T).

What is an algebraic equation?

An algebraic equation is a statement of the equality of two expressions that have variables, using algebraic operations, known as addition, subtraction, multiplication, division, raising to a power, and extraction of a root.

Data and Calculations:

Distance to Castle Junction and from Banff = 50 km (25 x 2)

Time required to cycle = 3 hours

Effect of wind on cyclists = -+5 km/h

The algebraic equation for speed, S, is D/T

Where:

D = Total distance

T = Total time

Therefore, S = D/T = 50/3

S = 16.6667 km/h

Thus, the average speed with no wind that the group needs to cycle between Banff and Castle Junction is 16.67 km/h.

Learn more about the average speed at https://brainly.com/question/4931057

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