/*
********************************************
This code only for beginners.  Please, Don't Copy Past
********************************************
*/
 
#include<stdio.h>
int main()
{
    int t,have1,have2,need,x,y;
    scanf("%d",&t);
 
    while(t--){
        scanf("%d%d%d",&have1,&have2,&need);
        have1=have1+have2;                        // sum of all having soda
        x=0,y=0;
 
        while(1){
            x=x+ have1/need ;
            y=have1%need;
            have1= have1/need +y;
        //    printf("have %d\n",have1);
            if(have1<need)
                break;
        }
        printf("%d\n",x);
    }
    return 0;
}