A mother takes 48 minutes to mow the lawn when she works alone using a gas mower. Her daughter takes three times as long using a reel mower. How long would it take them to mow the lawn together?
25 minutes
To find out how long it would take them to mow the lawn together, we need to add up their individual mowing times.
Let's start with the mother's mowing time. We are given that the mother takes 48 minutes to mow the lawn when she works alone.
Next, we need to determine the daughter's mowing time. The problem states that the daughter takes three times as long as the mother. Therefore, the daughter's mowing time would be 3 * 48 minutes = 144 minutes.
To find the total time it would take them to mow the lawn together, we add the mother's and daughter's mowing times: 48 minutes + 144 minutes = 192 minutes.
Therefore, it would take them 192 minutes to mow the lawn together.
To find out how long it would take the mother and daughter to mow the lawn together, we need to calculate their individual mowing rates, taking into account the information given.
Let's start by finding the mother's mowing rate. We know that she takes 48 minutes to mow the lawn alone using a gas mower. Therefore, her mowing rate is 1 lawn divided by 48 minutes, which can be written as 1/48 lawns per minute.
Now let's find the daughter's mowing rate. We're told that she takes three times as long as the mother, so her mowing rate will be one-third of the mother's rate. Therefore, the daughter's mowing rate is (1/48 lawns per minute) multiplied by (1/3), which can be written as 1/144 lawns per minute.
To calculate how long it would take them to mow the lawn together, we need to add their mowing rates together. The combined mowing rate for the mother and daughter is (1/48 lawns per minute) + (1/144 lawns per minute). When we combine these rates, we get (2/144 lawns per minute) + (1/144 lawns per minute), which equals 3/144 lawns per minute.
To determine the time it would take them to mow the lawn together, we can use the combined mowing rate. We know that the combined mowing rate is 3/144 lawns per minute. To find the time, we can take the reciprocal of this rate, which is 144/3 minutes.
Simplifying further, we find that it takes 48 minutes for them to mow the lawn together.
Therefore, it would take the mother and daughter 48 minutes to mow the lawn together.