Editorial for LCC/Moose '19 Contest 1 J2 - A Car Problem - MCPT: Mackenzie Competitive Programming Team

Editorial for LCC/Moose '19 Contest 1 J2 - A Car Problem

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Submitting an official solution before solving the problem yourself is a bannable offence.

Author: Riolku

This is a simple algebra problem.

First, let the speed of your car be $S$ ~ S ~. Now, you want to find $S$ ~ S ~.

Since your friend's car is $X$ ~ X ~ km/h slower, it travels at $S - X$ ~ S - X ~ km/h.

Now $X$ ~ X ~, $N$ ~ N ~, $T$ ~ T ~ and $S$ ~ S ~ are given by the following equation:

$\displaystyle N = T \times (S + (S - X))$

If we solve for $S$ ~ S ~, we get:

$\displaystyle S = \frac{\frac{N}{T} + X}{2}$

Now you can simply print out $S$ ~ S ~ given $N$ ~ N ~, $X$ ~ X ~ and $T$ ~ T ~.

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