Practice30 Create account

A and B together can do a job in 15 days. A alone takes 16 days less than B. How long does B take alone?

Class 10Quadratic Word Problems: Work and PipesQuadratic Equations

A24 days
B40 days
C30 days
D36 days

Step-by-Step Solution

A:

x

, B:

x + 16. \frac{1}{x} + \frac{1}{x + 16} = \frac{1}{15} : x^{2} - 14 x - 240 = 0, (x - 24) (x + 10) = 0, x = 24

. B: 40 days.

Answer: B) 40 days

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

Two taps together fill a trough in 5 hours. One alone takes 24 hours longer than the…Two pumps together drain a tank in 12 hours. One pump alone takes 18 hours longer than…Two pipes fill a tank together in 14 hours. One alone takes 21 hours longer than the…Two taps together fill a tank in 3 3/4 hours. One alone takes 4 hours longer than the…Pipe B takes 10 hours longer than pipe A to fill the tank shown, and together they fill…