# A cyclist is going at 4 kmph and takes them t less than 14 hours to get to their destination. On the trip back they take the same route, but at 10 kmph and make it back in t hours. Using a diagram, how do you find the value of t?

Mar 31, 2016

#### Explanation:

The formula for speed is $S = \frac{d}{t}$. However, we can rearrange it so that $S \times t = d$. Thus, speed • time = distance.

$4 \left(14 - t\right) = 10 \left(t\right)$

$56 - 4 t = 10 t$

$56 = 14 t$

$4 = t$

Thus, it took her 4 hours to bike and 10 hours to walk.

Therefore, the distance is 40 kilometres, since $10 \times 4 = 40$

Hopefully this helps!