Practice30 Create account

Pipe B takes 10 hours longer than pipe A to fill the tank shown, and together they fill it in 12 hours. How long does the faster pipe take alone?

Class 10Quadratic Word Problems: Work and PipesQuadratic Equations

A30 hours
B6 hours
C20 hours
D24 hours

Step-by-Step Solution

\frac{1}{x} + \frac{1}{x + 10} = \frac{1}{12} \Rightarrow 12 (2 x + 10) = x (x + 10) \Rightarrow x^{2} - 14 x - 120 = 0 \Rightarrow (x - 20) (x + 6) = 0

. Time cannot be negative, so

x = 20

hours (B takes 30).

Answer: C) 20 hours

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Quadratic Word Problems: Work and Pipes practice questions

More Class 10 Quadratic Word Problems: Work and Pipes practice

Kavita and Anu tile a floor in Bhopal. Anu alone takes 6 days more than Kavita alone,…The large tap fills the drum 10 minutes faster than the small tap. With both taps open,…A goods train runs 360 km from Chennai to Bengaluru. If its usual speed were 5 km/h…A flight from Delhi to Mumbai (1200 km) took off 30 minutes late. By flying 400 km/h…Machine B takes 3 hours longer than machine A to finish one order, and the two together…