A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely ?Select one:a. 4 hrb. 4 hr 15 minc. 3 hr 15 mind. 3 hr 45 min
Question
A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely ?Select one:a. 4 hrb. 4 hr 15 minc. 3 hr 15 mind. 3 hr 45 min
Solution
First, let's understand the problem.
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One tap can fill the tank in 6 hours. So, it takes 6 hours to fill the entire tank with one tap.
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The problem states that after half the tank is filled, three more similar taps are opened. This means that for the first half of the tank, only one tap was used. Since the tap can fill the entire tank in 6 hours, it would take half that time to fill half the tank. So, it takes 3 hours to fill half the tank with one tap.
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Now, for the second half of the tank, we have four taps (the original one plus three more). Since these taps are similar, they will fill the tank four times faster. So, it would take 1/4 of the time it took one tap to fill half the tank.
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To find this time, we divide the time it took one tap to fill half the tank by 4. So, 3 hours / 4 = 0.75 hours.
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To convert this time to minutes, we multiply by 60 (since there are 60 minutes in an hour). So, 0.75 hours * 60 minutes/hour = 45 minutes.
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So, the total time taken to fill the tank is the time it took to fill the first half plus the time it took to fill the second half. This is 3 hours (for the first half) + 45 minutes (for the second half) = 3 hours and 45 minutes.
So, the answer is d. 3 hr 45 min.
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