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?

Question

Mathematics

Kiki

22 January, 20:32

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?

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Answers (1)

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Frederick Montes · Answer 1

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