Two pipes together fill a tank in 6 hours. The larger pipe alone takes 5 hours less than the smaller. The time taken by the smaller pipe alone (in hours) is:
Set up and solve.

Question

Two pipes together fill a tank in 6 hours. The larger pipe alone takes 5 hours less than the smaller. The time taken by the smaller pipe alone (in hours) is: Set up and solve.

Accepted Answer

15. Smaller x, larger x-5. 1/x + 1/x-5 = 1/6. Multiply: 6(2x-5) = x(x-5), x^2 -17x +30 = 0, (x-15)(x-2)=0. x=15 (x=2 rejected as x-5 negative).

Two pipes together fill a tank in 6 hours. The larger pipe alone takes 5 hours less than the smaller. The time taken by the smaller pipe 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 pipes together fill a tank in 6 hours. The larger pipe alone takes 5 hours less than the smaller. The time taken by the smaller pipe 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 pipes together fill a tank in 6 hours. The larger pipe alone takes 5 hours less than the smaller. The time taken by the smaller pipe alone (in hours) is:
Set up and solve.