SOLUTION: Two water pipes together can fill a certain tank in 8.4 h. The smaller pipe alone takes 1.7 h longer than the larger pipe to fill that same tank. How long would it take the larger

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Question 1057931: Two water pipes together can fill a certain tank in 8.4 h. The smaller pipe alone takes 1.7 h longer than the larger pipe to fill that same tank. How long would it take the larger pipe alone to fill the tank? Keep three significant digits.
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
The sum of the individual rates is the rate for both pipes combined. The rate unit should be as .
PIPE                RATE
SMALL              
LARGE              
BOTH TOGETHER      


Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = time in hrs for the larger pipe
to fill the tank
= time in hrs for the smaller
pipe to fill the tank
------------------------
Add their rates of filling to get their
rate filling together
--------------------
rate for smaller pipe:
[ 1 tank filled ] / [ t + 1.7 hrs ]
rate for larger pipe:
[ 1 tank filled ] / [ t hrs ]
rate for both pipes together:
[ 1 tank filled ] / [ 8.4 hrs ]
-----------------------------

Multiply both sides by



Use quadratic formula




This is some tough calculations. You can finish
and is time in hrs for larger pipe to fill tank
Check my math so far


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