Chapter MPS, Problem 9.11MPS

To determine

To find: The Normal speed of bicycle with no wind

Answer to Problem 9.11MPS

  $15km/h$

Explanation of Solution

Given:

Distance of cycling with the wind = $36km$

Distance of cycling against the wind $=24km$

Formula Used:

  $Dist.=speed\times time$

Calculation:

Let speed of bicycle with no wind be $xkm/h$

So, time taken by Alfonso to cover $36km/h$ with the wind $=\frac{36}{\left(x+3\right)}h$

Time taken by Alfonso to cover $24km$ against the wind $=\frac{24}{x-3}h$

Therefore, According to question,

  $\begin{array}{l}\frac{36}{x+3}=\frac{24}{x-3}\\ \frac{3}{x+3}=\frac{2}{x-3}\\ \Rightarrow 3\left(x-3\right)=2\left(x+3\right)\\ \Rightarrow 3x-9=2x+6\\ \Rightarrow x=15km/h\end{array}$

Conclusion:

The normal bicycling speed with no wind =15 km/h