Two pipes together fill a tank in 6 hours. The larger pipe alone takes 5 hours less than the smaller. If the smaller takes x hours, x^2 - 17x + 30 = 0. Find the time (hours) the smaller pipe takes alone.

Question

Accepted Answer

15. 1/x + 1/x-5 = 1/6 leads to x^2 - 17x + 30 = 0. x = 17 ± √289 - 1202 = 17 ± 13/2 = 15 or 2. Since x must exceed 5, x = 15 hours.

Two pipes together fill a tank in 6 hours. The larger pipe alone takes 5 hours less than the smaller.
If the smaller takes $x$ hours, $x^{2} - 17 x + 30 = 0$ .
Find the time (hours) the smaller pipe takes alone.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 The Quadratic Formula practice

Two pipes together fill a tank in 6 hours. The larger pipe alone takes 5 hours less than the smaller.If the smaller takes x hours, x2−17x+30=0.Find the time (hours) the smaller pipe takes alone.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 The Quadratic Formula practice

Two pipes together fill a tank in 6 hours. The larger pipe alone takes 5 hours less than the smaller.
If the smaller takes $x$ hours, $x^{2} - 17 x + 30 = 0$ .
Find the time (hours) the smaller pipe takes alone.