Math

posted by .

Two faucets can fill a tank in 1 hour and 20 minutes. The first faucet takes more than two hours longer to fill the same tank when functioning without the second tap. How long does it take to fill each one separately? Explain your solution

  • Math -

    time needed by 2nd faucet alone --- t hrs
    rate for 2nd faucet alone = 1/t

    time needed by 1st faucet alone --- t+2 hrs
    rate of 1st faucet along = 1/(t+2)

    combined rate = 1/t + 1/(t+2)
    = (t+2 + t)/(t(t+2) = (2t+2)/(t(t+2))

    then 1/[ 2t+2)/(t(t+2)) ] = 4/3
    t(t+2)/(2t+2) = 4/3
    3t^2 + 6t = 8t + 8
    3t^2 - 2t - 8 = 0
    (t-2)(3t+4) = 0
    t = 2 or t = a negative time

    the 2nd faucet would take 2 hours alone
    the 1st facucet would take 4 hours alone

  • Math -

    1 + 1

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. college algebra

    A paint-mixing machine has 2 inlet pipes. One takes 1 hour less than the other to fill the tank. Together they fill the tank in 3 hours. How long would it take each of them alone to fill the tank?
  2. Math

    Two taps, having different rates of flow are used to fill a large water tank. If tap A is used on its own it will take 5 hours longer to fill the tank that it would take tap B to fill it on its own. Together, the taps would fill the …
  3. Math

    Two taps named tap A and B are used to fill a tank. Tap A on its own takes 5 hours longer than tap B to fill the tank. The two taps working together fill the tank in 6 hours. How long does it take tap A to fill the tank on its own?
  4. Algebra

    2 pumps can fill a water tank in 45 minutes when working together. Alone, the second pump takes 3 times longer than the first to fill the tank. How long does it take the first pump alone to fill the tank?
  5. algebra

    Two pumps can fill a water tank in 256 minutes when working together. Alone, the second pump takes times as long as the first to fill the tank. How many minutes would it take the first pump to fill the tank?
  6. akgebra

    One pipe can fill a tank in 20 minutes, while another takes 30 minutes to fill the same tank. How long would it take the two pipes together to fill the tank?
  7. ALGEBRA

    In a water refilling stationthe time that a pipe takes to fill a tank is 10 minutes more than the time that another pipe takes to fill the same tank. If the two . If the two pipes are open at the same time, they can fill the tank in …
  8. Math

    In water refilling station, the time that a pipe takes to fill a tank is 10 minutes more than the time that another pipe takes to fill the same tank. If the two pipes are opened at the same time, they can fill the tank in 12 minutes. …
  9. math

    Two taps of various or different diameter can fill a tank in 9 and 3/8 hours. The tap of larger diameter takes 10 hrs less than the smaller one to fill the tank separately.Find the time in which each tap can separately fill the tank.
  10. math

    Tap"A" can fill the tank in 4 minutes .While tap"B" can fill the same tank in 7 minutes . How long will both taps take to fill the tank if they are opened at the same time?

More Similar Questions