Average speed problem

**haftakhan** · August 11th 2011, 09:48 PM

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 ?

**Prove It** · August 11th 2011, 10:35 PM

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

**HallsofIvy** · August 12th 2011, 06:10 AM

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

**Prove It** · August 12th 2011, 06:17 AM

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...

**skeeter** · August 12th 2011, 07:05 AM

let the distance = $d$

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

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

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

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

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