Luke and Nora can peel 20 carrots in 6 min, working together. Luke can peel 5 carrots in 2 min, working alone. How many minutes would it take Nora to peel 10 carrots, working alone?

5 carrots in 2 min so in 1 min Luke peels 2.5 carrots so that mean when they work together Luke peels 15 of the carrots which means Nora peels 5 of the carrots so Nora can peel 0.83 carrots in a min so you would multiply that by ten to get 8.3 so Nora can peel 8.3 carrots in 10 min working alone

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ahirohit963 ahirohit963 · Answer 2 · 2021-11-23T14:19:37+01:00

The minutes would it take Nora to peel 10 carrots, working alone is 11.9 minutes and this can be determined by finding the speed of Nora and Luke using the given data.

Given :

Luke and Nora can peel 20 carrots in 6 min, working together.
Luke can peel 5 carrots in 2 min, working alone.

Let the number of carrots Luke peel is 'x' and the number of carrots Nora peel is 'y'. So, the speed to peel the carrot together is:

[tex]\rm s_L + s _N=\dfrac{20}{6}[/tex]

[tex]\rm s_L + s _N=3.34[/tex] carrots per min. --- (1)

Now, the speed of Luke to peel carrot is:

[tex]\rm s_L=\dfrac{5}{2}[/tex]

= 2.5 carrots per min.

Now, put the value of the speed of Nora in equation (1).

[tex]\rm 2.5 + s_N = 3.34[/tex]

[tex]\rm s_N = 0.84[/tex] carrots per min

Now, the minutes would it take Nora to peel 10 carrots, working alone is:

[tex]0.84=\dfrac{10}{t}[/tex]

t = 11.9 min.

For more information, refer to the link given below:

https://brainly.com/question/17661499