One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:81 min.108 min.144 min.192 min.
Question
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:81 min.108 min.144 min.192 min.
Solution
Let's denote the time it takes for the slower pipe to fill the tank alone as x.
Since the faster pipe can fill the tank three times as fast as the slower one, it would take the faster pipe x/3 time to fill the tank alone.
According to the problem, together they can fill the tank in 36 minutes. So, we can write the equation as follows:
1/x (the part of the tank the slower pipe can fill in one minute) + 3/x (the part of the tank the faster pipe can fill in one minute) = 1/36 (the part of the tank both pipes can fill in one minute together).
Solving this equation for x gives us:
1/x + 3/x = 1/36 4/x = 1/36 x = 4 * 36 x = 144
So, the slower pipe alone will be able to fill the tank in 144 minutes.
Similar Questions
A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:6 hours10 hours15 hours30 hours
A tank can be filled with water by two pipes running together in 11 19 minutes. If thelarger pipe alone takes 5 minutes less to fill the tank than the smaller pipe, find the timethat each pipe will take to fill the tank.
Three pipes can fill a tank in 6, 10, 15 hours respectively. If they are opened together, how long does it take to fill the tank?
A pipe can fill a tank in 3 hours. There are two outlet pipes from the tank which can empty it in 7 and 10 hours respectively. If all the three pipes are opened simultaneously, then the tank will be filled in Question Description : 8 hours10 hours 11 hours9 hours
Pipe X and Y can fill a tank in 10 minutes and 20 minutes respectively. If both the pipes are opened simultaneously, then the time taken to fill the tank is how much?6.66 minutes7.2 minutes8 minutes5 minutesNone
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.