Two water taps together fill a tank in 9 hours 36 minutes. The tap of larger diameter takes 8 hours less than the smaller. The time taken by the smaller tap alone (in hours) is: Set up and solve.

Question

Accepted Answer

24. 9 h 36 min = 48/5 h. 1/x + 1/x-8 = 5/48. 48(2x-8) = 5x(x-8), 5x^2 -136x +384 = 0, (5x-16)(x-24)=0. x = 24 (16/5 rejected since x-8 negative).

Two water taps together fill a tank in 9 hours 36 minutes. The tap of larger diameter takes 8 hours less than the smaller. The time taken by the smaller tap alone (in hours) is:
Set up and solve.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Quadratic Word Problems practice

Two water taps together fill a tank in 9 hours 36 minutes. The tap of larger diameter takes 8 hours less than the smaller. The time taken by the smaller tap alone (in hours) is:Set up and solve.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Quadratic Word Problems practice

Two water taps together fill a tank in 9 hours 36 minutes. The tap of larger diameter takes 8 hours less than the smaller. The time taken by the smaller tap alone (in hours) is:
Set up and solve.