college algebra

Question

It takes an older employee 11 hours to shovel the snow from a sidewalk, but a younger employee can shovel the same sidewalk in 3 hours. How long will it take them to clear the walk if they work together?

It will take them  ? hour(s)  ? minute(s) to clear the walk if they work together.

If needed, round answer to 1 decimal places.

Answer 1

the workrates are 1/11 and 1/3 respectively.

the combined workrate is (3+11)/33 = 14/33

working together, they will finish

in 33/14 = 2.3571428571428571428571428571429‬ hours

2 hours 8 minutes 35 seconds