1. ## Average speed problem

A cyclist travels from Paris to the Louvre at an average speed of x km/h.
find the time taken in term of x ?

On his return journey from louvre to Paris, he decreases his average speed by 3 km/h.

Find the time taken in return journey in terms of x ?

if the difference between the times is one hour 20 minutes,

find the value of x ?

2. ## Re: Average speed problem

First of all, how far away is Paris from the Louvre?

3. ## Re: Average speed problem

I was under the impression that the Louver was in Paris!

4. ## Re: Average speed problem

Originally Posted by HallsofIvy
I was under the impression that the Louver was in Paris!
As was I, I just expected that the OP meant something like the distance between the Louvre to the centre of Paris...

5. ## Re: Average speed problem

let the distance = $\displaystyle d$

$\displaystyle x = \frac{d}{t_1} \implies t_1 = \frac{d}{x}$

$\displaystyle t_2 = \frac{d}{x-3}$

$\displaystyle t_1 - t_2 = \frac{d}{x} - \frac{d}{x-3} = \frac{4}{3}$

plug in $\displaystyle d$ (once you find out what it is) and solve for $\displaystyle x$