Question

A train travels 112 km in 1 hour 20 minutes with a certain speed. How many kilometres will it travel in 4 hours 45 minutes with the same speed?

Answer 1

Given that,
The train travels 112 km in 1 hour 20 minutes.

If we consider this time in minutes, it is 80 minutes.
That is, 112 km in 80 mins.

4 hour 45 minutes can be written as,
$=(4\times 60)+45=240+45=285minutes$

So, this is an example of direct proportion.
Let the distance travelled in 285 minutes be x km.

So,
$\Rightarrow \frac{80}{112}=\frac{285}{x}$

$\Rightarrow x=\frac{285\times 112}{80}$

$\Rightarrow x=399kilometres$

Hence the train travels 399 kilometres in 285 minutes.