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jeka94
2 years ago
10

Pump 1 can empty a pool in 9 hours while Pump 2 can empty the same pool in 12 hours. If the two pumps worked together, how long

would it take them to empty the pool?
about 5 hours and 30 minutes
about 5 hours and 10 minutes
about 5 hours and 20 minutes
about 5 hours
Mathematics
1 answer:
ruslelena [56]2 years ago
8 0

Answer:

About 5 hr 10 min  

Step-by-step explanation:

rate 1   = 1  pool / 9 hrs          rate 2 = 1 pool / 12 hours

now find the time with both rates combined

1 pool / ( 1/9 + 1/12)  =   1/ (7/36)  =   36/7 hr  = 5 1/7 hr = 5 hr 8.6 min

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crimeas [40]

Hello from MrBillDoesMath!

Answer:

w = 5



Discussion:

48 = 2 (2w) + (4 + 2w)2       =>

48 = 4w        + 4*2 + (2w)*2  =>

48 = 4w       +  8    + 4w        =>   as 4w + 4w = 8w

48 =  8w      +  8                    => subtracting 8 from each side

48 - 8 = 8w                            => divide both sides by 8

(48 -8 )/8 = w                        =>

40/8 = w                                =>

w = 5                                      =>


Check:  2(10) + ( 4 + 2*5)*2 = 20 + 14*2 = 20 + 28 = 48




Thank you,

MrB

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