SOLUTION: Two pipes together can fill a large tank in 10 hours. One of the pipes, used alone, takes 15 hours longer than the other to fill the tank. How long would each pipe take to fill the

Question 820962: Two pipes together can fill a large tank in 10 hours. One of the pipes, used alone, takes 15 hours longer than the other to fill the tank. How long would each pipe take to fill the tank alone?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
---
x + y = V/10
x = V/T
y = V/(T + 15)
V/T + V/(T + 15) = V/10
1/T + 1/(T + 15) = 1/10
(T + 15)/T(T + 15) + T/T(T + 15) = 1/10
T + 15 + T = T(T + 15)/10
(1/10)TT + (15/10)T - 2T - 15 = 0
(1/10)TT + (15/10)T - (20/10)T - 15 = 0
(1/10)TT - (1/2)T - 15 = 0
---
the above quadratic equation is in standard form, with a=0.1, b=-0.5, and c=-15
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
0.1 -0.5 -15
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
---
the two real roots (i.e. the two x-intercepts), of the quadratic are:
T = 15
T = -15
---
negative time doesn't make sense, so use the positive root
---
answer:
first pipe fills tank in 15 hours
second pipe fills tank in 30 hours
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
RELATED QUESTIONS
Two pipes together can fill a large tank in 10 hours. One of the pipes, used alone,... (answered by checkley77)

Two pipes together can fill a large tank in 10 hours. One of the pipes used alone takes... (answered by stanbon)

Two pipes can fill a large tank in 10 hours. One of the pipes, used alone, takes 15 hours (answered by stanbon)

two pipes can fill a large tank in 10 hours. One of the pipes, used alone, takes 15 hours (answered by josgarithmetic)

Can you help me solve this word problem? Two pipes can fill a large tank in 10 hours. (answered by ankor@dixie-net.com)

What ever shall I do to solve this problem? Two pipes can fill a large tank in 10... (answered by stanbon,Fombitz)

Word Problem. Solve the problem. Two pipes can fill a large tank in 10 hours. One of the (answered by stanbon,mananth,josmiceli)

pls answer my word problems.............. two pipes together can fill a large tank in 2... (answered by oberobic)

Please help me solve this word problem: Two pipes together can fill a large tank in 10 (answered by solver91311)