<PRE><B>Question 96701</B>
According to engineers, 3% of the water in new orleans had been pumped out, leaving 6,000,000 cubic yards after 14 hours of pumping. In a news report two days later, 6.2% had been pumped out, leaving 5,800,000 cubic yards of water. Given a linear relationship, how much water was originally deposited into New Orleans by Hurricane Katrina. How long til the city will be dry?
:
Let x = total amt of water.
:
(1.00 - .03) * x = 6000000
:
.97x = 6000000
x = 6000000/.97
x = 6,185,567 cu yds, total
:
Rate of pumping:
{{{(.03(6185567))/14}}} = 13254.8 cu yds/hr
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Find the no. of hrs to pump it all out:
{{{6185567/13255}}} = 467 hrs
:
:
Check: 467 * 13255 ~ 619,000,000
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