Cyclist and Motorcyclist Time

The cyclist covered a certain distance in 6 hours and 15 minutes. How long will it take for a motorcyclist to travel five times more if he travels three times faster?

Result

t = 10:25 h

Step-by-step explanation:

$$\begin{gathered} t_1=6:15=6hr15min=6+\frac{15}{60}=6.25hr=6.25 \\ t=t_1\cdot \frac{5}{3}=\frac{25}{4}\cdot \frac{5}{3}=\frac{25\cdot 5}{4\cdot 3}=\frac{125}{12}=10.41667=10:25\text{h} \end{gathered}$$

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