Wednesday

July 23, 2014

July 23, 2014

Posted by **Randy** on Thursday, January 31, 2013 at 11:51pm.

- math -
**Reiny**, Thursday, January 31, 2013 at 11:59pmrate of pump A = 1/6

rate of pump B = 1/x

combined rate = 1/6 + 1/x

= (x+6)/(6x)

time at combined rate = 1/( (x+6)/6x )

= 6x/(x+6)

but 6x/(x+6) = 4

6x = 4x+ 24

2x = 24

x = 12

Pump B alone would take 12 hours

check:

combinedrate =1/12 + 1/6 = 3/13 = 1/4

time at combined rate = 1/(1/4)) = 4

**Related Questions**

algebra - Pump A can fill a swimming pool in 6 hours and pump B can fill the ...

Algebra I - Pump A, working alone, can fill a tank in 3 hours, and pump B can ...

math - Three water pipes are used to fill a swimming pool. The 1st pipe alone ...

maths - One pump fills a tank two times as fast as another pump. If the pumps ...

Algebra - 2 pumps can fill a water tank in 45 minutes when working together. ...

algebra - Two pumps can fill a water tank in 256 minutes when working together. ...

math-algebra - one pump can empty a pool in 5 days, wheras a second pump can ...

Math - Two hoses are connected to a swimming pool. Working together, they can ...

Math - Four hoses are filling a pool. The first hose alone would fill the pool ...

math - One pump can empty a pool in 5 days, whereas a second pump can empty the ...