Algebra I
posted by Meredith
Pump A, working alone, can fill a tank in 3 hours, and pump B can fill the same tank in 2 hrs. If the tank is empty to start and pump A is switched on for one hour, after which pump B is also switched on and the two work together, how many minutes will pump B have been working by the time the pool is filled?
a)48
b)50
c)54
d)60
e)64

Damon
pump A, 1/3 tank /hr
pump B, 1/2 tank/hr
in first hour pump A fills 1/3 tank
so together they fill 2/3 tank
x hours (1/3 tank/hr + 1/2 tank/hr) = 2/3 tank
x (5/6) = 2/3 = 4/6
5 x = 4
x = 4/5 hr = (4/5)60 = 48 minutes
Respond to this Question
Similar Questions

math
Filling a tank. Two pipes are connected to the same tank. Working together they can fill the tank in 4 hrs. The larger pipe working alone can fill the tank 6 hrs less than the smaller one, HOw long would the smaller one take, working … 
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? 
algebra
Pump A can fill a swimming pool in 6 hours and pump B can fill the same pool in 4 hours. The two pumps began working together to fill an empty pool, but after 40 minutes pump B broke down, and pump A had to complete the job alone. … 
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? 
maths
One pump fills a tank two times as fast as another pump. If the pumps work together they fill the tank in 18 minutes. How long does it take each pump working alone to fill the tank? 
Algebra
a worker has a new pump and an old pump. the new pump can fill a tank in five hours and the old pump can fill the same tank in 7 hours write and solve an equation for the time it will take both pumps to fill one tank if the pumps are … 
Algebra
Two pipes are connected to the same tank. When working together, they can fill the tank in 12 hrs. The larger pipe, working alone, can fill the tank in 18 hrs less time than the smaller one. How long would the … 
math
One pump fills a tank two times as fast as another pump. If the pumps work together they fill the tank in 18 minutes. How long does it take each pump working alone to fill the tank? 
MATH
two pump can individual fill the tank in 10 hours and 12 hours respectively while a third pump empites the full tank in 20 hours.If all the three pump are run simultaneously,in how munch time will be the tank be filled? 
Algebra
One pump can fill a reservoir in 60 hours. Another pump can fill the same reservoir in 80 hours. A third pump can empty the reservoir in 90 hours. If all three pumps are operating at the same time, how long will it take to fill the …