Find the maximum distance covered using n bikes | GeeksforGeeks


There are n bikes and each can cover 100 km when fully fueled. What is the maximum amount of distance you can go using n bikes? You may assume that all bikes are similar and a bike takes 1 litre to cover 1 km.

If we take a closer look at above cases, we can observe that if there are n bikes, then the first transfer is done (or a bike is dropped) after 100/n kms. To generalize it more, when we have x litre remaining fuel in every bike and n remaining bikes, we drop a bike after x/n kms.
double maxDistance(int n, int fuel)
{
    // dist_covered is the result of this function
    double dist_covered = 0;
    while (n > 0)
    {
        // after ever fuel/n km we are discarding one bike and filling
        // all the other bikes with fuel/n liters of fuel i.e. to their
        // maximum limit (100 litre)
        dist_covered += (double)fuel / n;
        n -= 1;  // reduce number of bikes
    }
    return dist_covered;
}
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