One tap fills a bucket in 10 minutes. Meera says two identical taps opened together will fill the…
One tap fills a bucket in 10 minutes. Meera says two identical taps opened together will fill the same bucket in 20 minutes, because two taps means double the time. Is Meera right?
Who do you think is right? Pick one.
The answer: No — it takes 5 minutes
Why
Meera saw 'double' and doubled the time — but here doubling the taps should CUT the time, not add to it. This is a ratio that works in reverse: more taps pouring means the bucket fills FASTER, so fewer minutes. Two taps deliver twice the water each minute, so the same bucket is done in HALF the time — 5 minutes, not 20. She multiplied when she should have divided. The clue is the direction: when 'more of the helper' makes a job quicker, time goes DOWN as helpers go up. Test: if four people dig a pit in an hour, eight don't take two hours — they take half. Meera's not right: extra taps speed the fill, so two taps finish in 5 minutes — more workers means less time, the opposite of what she said.
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