Which of these is equal to 9 - 4?
1 answer:
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Answer:
10.5 hours.
Step-by-step explanation:
Please consider the complete question.
Working together, two pumps can drain a certain pool in 6 hours. If it takes the older pump 14 hours to drain the pool by itself, how long will it take the newer pump to drain the pool on its own?
Let t represent time taken by newer pump in hours to drain the pool on its own.
So part of pool drained by newer pump in one hour would be .
We have been given that it takes the older pump 14 hours to drain the pool by itself, so part of pool drained by older pump in one hour would be .
Part of pool drained by both pumps working together in one hour would be .
Now, we will equate the sum of part of pool emptied by both pumps with and solve for t as:
Therefore, it will take 10.5 hours for the newer pump to drain the pool on its own.
By taking a common denominator, we can find out that the simplified expression of the given expression is .
The given expression is -
---- (1)
We have to simplify the expression.
From equation (1), we have the given expression as -
Establishing common denominator , we have
Combining the numerator and common denominator, we have
Thus, the simplified expression of the given expression is which is obtained by taking a common denominator.
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