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A ship's crew of 50 has a supply of drinking water

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2 Answers

One can use conversions to quarts
 
Initial supply = 50 CM * 2 qt/(day * CM) * 30 days  = 3000 qts
 
In 10 days the crew consumed:  50*2*10 = 1000 qts
Loss due to contamination is:     250 gal * 4 qts/gal = 1000 qts
 
Remaining H2O Supply (qts) = 3000 - ( consummed + loss to contamination) = 3000 - 2000 = 1000 qts 
 
Remaining days = 20
 
Remaining Daily supply (assuming dispensing the same amount each day) = 1000/20 = 50 qts / day
 
Assuming each crew member gets the same proportion then 50 qts/ day divided by 50 CM = 1 qt / day
Initial amount 50*30*.5=750gallons
This amount is depleted by 50*.5=25 gallons per day
So the amount at any time t =750-25*t, after the 10th day the amount is 750-250=500gal now if 250 gal are not useable then there is only 250 gallons left for the remaining 20 days which is 12.5 gal/day when divided by 50 crew members gives .25 gal each or 1 quart each for the remaining 20 days.
 
Jim