Question

In a bike race, a rider covers a 5-mi flat stretch of road at a speed of S mi/h. She then doubles her speed down a hill 1 mile long. Finally, she reduces her downhill speed by 12 mi/h as she rides the last 3 miles of the race. What function gives the time T it takes the rider to finish the race in terms of S?

Answer 1

@MaimiGirl

Answer 2

What's the equation needed to solve this problem? I don't remember

Answer 3

no i dont know srry

Answer 4

speed=distance\time

Answer 5

WHat's the function though?

Answer 6

we cant give u the answer

Answer 7

I'm not trying to get the answer i just get to know how to get the function for these problems

Answer 8

that would be giveing you the answer to your question becasue its askign for the funcrion we are not here to do your homework

Answer 9

but yet we will help u complete it

Answer 10

I think you're misunderstanding. These types of problems have an equation used to help so
lve the problem. I want to know what that is?

Answer 11

There's more than one way in which to do this problem.
You could represent the rider's initial speed by S.
The time, t1, required to do the initial 5-mile-long stretch on level ground is what?
Although you could calculate S, the problem doesn't state that you must do so. But do write a formula for t1 in terms of the distance covered and the speed, S.

Going downhill, the speed doubles, and is thus 2S. Again, you must calculate the time required to cover the distance specified. How would you do that?

Once gain: distance = rate * time

time = distance / rate

rate = distance / time

Answer 12

My interpretation is that you want to calculate the total time, T, required for the bicyclist to complete the ride along the entire course of this race.

Answer 13

Thanks so do i write the equation used to solve t or is that not the same as the function.

Answer 14

@mathmale