It takes an older employee 13 hours to shovel the snow from a sidewalk, but a younger employee can shovel the same sidewalk in 10 hours. how long will it take them to clear the walk if they work together?

work in rates per hour. These rates can then be added to form an equation

1/13 + 1/10 = 1/x where x is the time for both working together

multiply thru by 130x:-

10 x+ 13 x = 130

x = 130/23 = 5.65 hours or about 6 hours 39 minutes

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smecloudbird18 smecloudbird18 · Answer 2 · 2022-06-17T07:41:26+02:00

Time taken by both of the older employee and younger employee is 5.6 hrs

What is Componendo-dividendo rule?

Componendo-dividendo rule: A theorem based on the topic of proportions permits a faster way to carry out the calculations and cut down the count of expansions required. It is helpful in situations involving equations with fractions or rational functions. The componendo and dividendo rule are used while studying ratios and proportions. If the ratio of any two given numbers is the same as the ratio of the other 2 numbers, then the ratios of the sum total of the numerator and denominator to the difference of the numerator and denominator of the two rational numbers are equal in nature.

Given, older employee needs 13 hours to shovel the snow.

So in 1 hr the older employee will shovel = 1/13

Younger employee needs 10 hours to shovel the snow.

So in 1 hr the younger employee will shovel = 1/10

Now, when they work together

[tex]1/13+1/10 = 1/x \\(10+13)/130 = 1/x \\3/130 = 1/x\\x = 130/23 = 5.6 hrs[/tex]

Hence, the time taken by both of them together is 5.6 hrs

To know more about the componendo and dividendo rule here

https://brainly.com/question/14508634

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