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?3 hrs 15 min3 hrs 45 min4 hrs4 hrs 15 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?3 hrs 15 min3 hrs 45 min4 hrs4 hrs 15 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 whole tank, which means it takes 3 hours to fill half the tank.
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After half the tank is filled (which takes 3 hours), three more similar taps are opened. Now, we have a total of 4 taps filling the tank.
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Since these 4 taps are similar, they can fill 4 tanks in 6 hours. Therefore, they can fill 1 tank in 6/4 = 1.5 hours.
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But the tank is already half full, so they only need to fill the remaining half. This will take 1.5/2 = 0.75 hours, which is 45 minutes.
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Adding the time it took to fill the first half (3 hours) and the second half (45 minutes), the total time taken to fill the tank completely is 3 hours and 45 minutes.
So, the answer is 3 hrs 45 min.
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