SOLUTION: Two water filters discharge into the same container. Filter A discharges at the rate of 16 quarts per hour and filter B at the rate of 3.5 quarts every 15 minutes. Determine capaci

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Question 1055109: Two water filters discharge into the same container. Filter A discharges at the rate of 16 quarts per hour and filter B at the rate of 3.5 quarts every 15 minutes. Determine capacity of the smallest container that can be filled in an integral (whole) number of minutes by either filter.
Let C = capacity of container.
1 hour = 60 minutes.
My attempt:
Filter A - 16 quarts per hr. = 4 quarts every 15 min.
Filter B - 3.5 quarts every 15 min.
Total 7.5 quarts every 15 min.
30 quarts per hr.
Unsure how to proceed. Thanks.
Answer by ikleyn(52760) About Me  (Show Source):
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Two water filters discharge into the same container. Filter A discharges at the rate of 16 quarts per hour and filter B
at the rate of 3.5 quarts every 15 minutes. Determine capacity of the smallest container that can be filled in
an integral (whole) number of minutes by either filter.
Let C = capacity of container.
1 hour = 60 minutes.
My attempt:
Filter A - 16 quarts per hr. = 4 quarts every 15 min.
Filter B - 3.5 quarts every 15 min.
Total 7.5 quarts every 15 min.
30 quarts per hr.
Unsure how to proceed. Thanks.
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Filter A - 16 quarts per hr. = 16%2F60 quarts%2Fmin = 8%2F30 quarts%2Fmin.

Filter B - 3.5 quarts every 15 min = 14 quarts per hr. = 14%2F60 quarts%2Fmin = 7%2F30 quarts%2Fmin.


Answer to the problem question. Capacity of the smallest tank is 56%2F30 = 28%2F15 quarts. (7 minutes to fill for A and 8 minutes to fill for B).