Practice30 Create account

Machine B takes 3 hours longer than machine A to finish one order, and the two together finish it in 2 hours. How long does machine A take alone?

Class 10Quadratic Word Problems: Work and PipesQuadratic Equations

A3 hours
B6 hours
C2 hours
D5 hours

Step-by-Step Solution

\frac{1}{x} + \frac{1}{x + 3} = \frac{1}{2} \Rightarrow 2 (2 x + 3) = x (x + 3) \Rightarrow x^{2} - x - 6 = 0 \Rightarrow (x - 3) (x + 2) = 0

. Reject

x = - 2

: A takes 3 hours (B takes 6).

Answer: A) 3 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

The river flows at 2 km/h, as shown. A boat goes from A to B upstream and comes back to…Harish cycles 24 km from his village to the town and comes back carrying a load, 4 km/h…Sunita takes 2 hours longer than Meena to type the project report shown, and together…The outlet at the bottom of the cistern takes 4 hours longer to empty it than the inlet…Two taps together fill a tank in 9 3/8 hours. The larger tap takes 10 hours less than…