Question 1074981
Let n be the time it takes for the first pipe. Then the second pipe would be n+5. So:
1/n + 1/n+5=1/5
5/n + 5/n+5=1
5n+25+5n=nē+5n
nē-5n-25=0
Using the quadratic formula, we get one positive root of 8.09016994375. So the first pipe takes 8.01 hours, while the second pipe takes 13.01 hours. ☺☺☺☺