Following a severe snowstorm, Ken and Bettina Reeves must clear their driveway and sidewalk. Ken can clear the snow by himself in 3 hours, and Bettina can clear the snow by herself in 4 hours. After Bettina has been working for 1 hour, Kane is able to join her. How much longer will it take them working together to remove the rest of the snow?

Question

Mathematics

Damon Sawyer

14 July, 02:06

Following a severe snowstorm, Ken and Bettina Reeves must clear their driveway and sidewalk. Ken can clear the snow by himself in 3 hours, and Bettina can clear the snow by herself in 4 hours. After Bettina has been working for 1 hour, Kane is able to join her. How much longer will it take them working together to remove the rest of the snow?

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Answers (1)

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Ricardo Powers · Answer 1

Determine how much of the job they have finished by calculating:

2/4 + 2/6 = 1/2 + 1/3 = 5/6 of the job has been done.

So, they have 1/6 of the job to go.

Then we write the following fractional equation:

t/4 + t/6 = 1/6

Multiply all by 12 (the LCD) and get

3t + 2t = 2

5t = 2

t = 2/5 hour = 24 minutes.