Working together, Greg and Cindy can clean the snow from the driveway in 12 minutes. It would have taken Cindy, working alone, 28 minutes. How long would it have taken Greg alone?

Respuesta :

Answer: Greg alone will clean the snow in 21 minutes

Explanation:

From the question, Greg + Cindy can clean the snow in 12 minutes

Cindy working alone is able to clear the same quantity of snow in about 28 minutes.

Now, Greg + Cindy ------ 12

Cindy alone ------ 28

we'll simply reduce 28/12 to its lowest term and we should have 7/3

It's very logical that two people can execute a task in less time than just one person as long as all are working at the same rate and in the same conditions.

Let's now take 7 joules as the sum of Greg and Cindy's energy and 3 joules as the quantity of Cindy's energy alone. Greg's supposed quantity of energy should be - (7-3 = 4 joules).

Therefore, Greg's + Cindy's energy/ 7joules of energy can be used to execute a task in 12 minutes. Greg's energy alone/ 4joules of energy can execute a task in ? minutes

7 joules -------- 12 minutes

4 joules -------- ? minutes

= 7/4 × 12 = 21 minutes

This means that Greg is able to clean the snow in 21 minutes

How long would it have taken Greg alone?

  • 16 minutes

If Greg and Cindy cleans the snow in 12 minutes

Then, it would take Cindy 28 minutes to clean it alone.

Therefore, we need to find the amount of time it would take Greg alone to clean the snow.

Let Greg be = x

Let Cindy be = y

x + y = 12 minutes

y= 28 minutes

To find x, we would get 28- 12 = 16 minutes

Therefore, it would take Greg alone 16 minutes to clean the snow from the driveway.

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