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12 taps flowing at the same rate can fill a pool in 1 h. How long will it take 5 taps to fill the same pool?
- a)2 h 4 min
- b)2 h 14 min
- c)2 h 24 min
- d)2 h 34 min
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
12 taps flowing at the same rate can fill a pool in 1 h. How long will...
1/r is the work_rate of each one, where r>0
the combined work_rate is 12/r, and they finish the job in 1 hour.
So 12/r = 1 ---> r = 12
So each work_rate is 1/12
That is one of them finishes 1/12 of the job per hour.
For 5 of them, the combined work_rate is 5/12, so it
will take them 12/5 hours = 2 and 2/5 hours = 2 hours and 24 minutes
Most Upvoted Answer
12 taps flowing at the same rate can fill a pool in 1 h. How long will...
To solve this problem, we need to understand the concept of rate of work and its relationship with time.
We are given that 12 taps can fill a pool in 1 hour. Let's assume that each tap fills 1/12th of the pool in 1 hour.
Now, we need to determine how long it will take 5 taps to fill the same pool. Since the rate of work is the same for all the taps, we can say that each tap will fill 1/12th of the pool in 1 hour.
Let's calculate the time it will take for 5 taps to fill the pool.
Step 1: Calculate the rate of work for 5 taps.
Since each tap fills 1/12th of the pool in 1 hour, the rate of work for 5 taps will be:
5 * (1/12) = 5/12th
Step 2: Calculate the time it will take for 5 taps to fill the pool.
To find the time, we can use the formula:
Time = Work/Rate
Here, the work is to fill the entire pool and the rate is 5/12th of the pool per hour.
Time = 1 / (5/12) = 12/5 = 2.4 hours
Now, we need to convert 2.4 hours into hours and minutes.
Step 3: Convert 2.4 hours into hours and minutes.
Since 0.4 hours is equal to 0.4 * 60 = 24 minutes, the answer is 2 hours and 24 minutes.
Therefore, it will take 5 taps to fill the pool in 2 hours and 24 minutes.
Hence, the correct answer is option C) 2 h 24 min.
We are given that 12 taps can fill a pool in 1 hour. Let's assume that each tap fills 1/12th of the pool in 1 hour.
Now, we need to determine how long it will take 5 taps to fill the same pool. Since the rate of work is the same for all the taps, we can say that each tap will fill 1/12th of the pool in 1 hour.
Let's calculate the time it will take for 5 taps to fill the pool.
Step 1: Calculate the rate of work for 5 taps.
Since each tap fills 1/12th of the pool in 1 hour, the rate of work for 5 taps will be:
5 * (1/12) = 5/12th
Step 2: Calculate the time it will take for 5 taps to fill the pool.
To find the time, we can use the formula:
Time = Work/Rate
Here, the work is to fill the entire pool and the rate is 5/12th of the pool per hour.
Time = 1 / (5/12) = 12/5 = 2.4 hours
Now, we need to convert 2.4 hours into hours and minutes.
Step 3: Convert 2.4 hours into hours and minutes.
Since 0.4 hours is equal to 0.4 * 60 = 24 minutes, the answer is 2 hours and 24 minutes.
Therefore, it will take 5 taps to fill the pool in 2 hours and 24 minutes.
Hence, the correct answer is option C) 2 h 24 min.
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12 taps flowing at the same rate can fill a pool in 1 h. How long will...
2h14 min
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12 taps flowing at the same rate can fill a pool in 1 h. How long will it take 5 taps to fill the same pool?a)2 h 4 minb)2 h 14 minc)2 h 24 mind)2 h 34 minCorrect answer is option 'C'. Can you explain this answer?
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