Baten80 wrote:
A tank containing water started to leak. Did the tank contain more than 30 gallons of water when it started to leak? (Note: 1 gallon = 128 ounces)
(1) The water leaked from the tank at a constant rate of 6.4 ounces per minute.
(2) The tank became empty less than 12 hours after it started to leak.
ok...30gallons * 128 = 1280x3 = 3840 ounces
the question is - did the tank contain more than 3840 ounces when it started to leak?
1. we know the rate of the leakage..but we do not know for how long it leaked..
2. tells that time is less than 12 hours..but we do not know the rate of the leakage..+ we do not know the exact time..
1+2.
6.4/min = 64*6=384 ounces/hour
if the tank leaked for > 10 hours, then it contained more than 30 gallons
if the tank leaked for less than 10 hours, then it contained fewer than 30 gallons.
since 2 alone tells that it is less than 12 hours..it can be either 11 or 9. 11-> over 30 gallons and 9-> less than 30 gallons.
E