A bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km away. Write a formula expressing the dependence of the variable s on t, where s is the distance between the bicyclist and the station in km, t - the duration (time) of his travel in hours. Using the formula, find s for t=3.5 AND t for s=30 (AND = separate)

Question

Mathematics

Jordon Walters

7 January, 06:09

A bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km away. Write a formula expressing the dependence of the variable s on t, where s is the distance between the bicyclist and the station in km, t - the duration (time) of his travel in hours. Using the formula, find s for t=3.5 AND t for s=30 (AND = separate)

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Cornelius Fletcher · Answer 1

The expression relating the distance and the time is:

velocity = distance / time

We are given the velocity as 12 km/h

Part a:

for t = 3.5 hours

velocity = distance / time

distance = velocity x time

distance = 12 x 3.5 = 42 km

Part b:

for s = 30 km

velocity = distance / time

time = distance / velocity

time = 30 / 12 = 2.5 hours