9514 1404 393
Answer:
(a) after 5 minutes: tower 1 -- 1550 gallons; tower 2 -- 670 gallons
(b) 1650-20m = 570+20m; m = 27 . . . minutes
Step-by-step explanation:
(a) At the rate of 20 gallons per minute, in 5 minutes the amount of water transferred will be ...
(20 gal/min)(5 min) = 100 gal
That is, Tower 1 will have 100 gallons less: 1650 -100 = 1550 gallons
and Tower 2 will have 100 gallons more: 570 +100 = 670 gallons.
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(b) The quantity in tower 1 is ...
t1 = 1650 -20m
and the quantity in tower 2 is ...
t2 = 570 +20m
These will be equal when ...
t1 = t2
1650 -20m = 570 +20m . . . . . equation for finding m
1080 = 40m . . . . . . . add 20m-570
27 = m . . . . . . . divide by 40
