Two spigots X and Y fill a basin in 10 hrs. and 15 hrs. respectively. Operating both spigots concurrently, the basin fills completely in_________?
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Answer: D. 6 hrs.
Explanation
Spigot X contributes one tenth of the basin capacity per hour of operation. Spigot Y contributes one fifteenth of the basin capacity per hour of operation. Adding one tenth and one fifteenth gives one sixth, resulting in six hours total. Combined work rates are found by adding the individual rates of each contributing source. The reciprocal of the combined hourly rate yields the total time required to finish. Fractions must be converted to a common denominator before performing addition operations.
Concurrent filling calculations help estimate how quickly multiple hoses can fill a swimming pool. Plumbers use combined flow rates to determine minimum pipe diameters for residential water supplies. Industrial mixing tanks often utilize multiple inlet valves to reduce preparation downtime. Option A is too fast and assumes a much higher combined flow rate than possible. Option B incorrectly averages the individual operating times instead of adding their rates. Option C represents an intermediate calculation step before finding the final reciprocal value.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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