Question

Homer and Mike were replacing the boards on​ Mike's old deck. Mike can do the job alone in 1 hour less time than Homer. They worked together for 6 hours until Homer had to go home. Mike finished the job working by himself in an additional 6 hours. How long would it have taken Homer to fix the deck​ himself?

Answer 1

Answer:

7

Step-by-step explanation:

Since Mike took 6 hours and he takes 1 hour less than Homer to do complete something alone then you add 1 to 6 and get 7. Homer would’ve took 6 hours.

Answer 2

It would have taken Homer 8 hours and 24 minutes to fix the deck himself.

Given that Homer and Mike were replacing the boards on​ Mike's old deck, and Mike can do the job alone in 1 hour less time than Homer, and they worked together for 6 hours until Homer had to go home, and Mike finished the job working by himself in an additional 6 hours, to determine how long would it have taken Homer to fix the deck​ himself, the following calculation has to be done:

• X + X - 1 = 6
• 2X - 1 = 6
• 2X = 7
• X = 3.5
• 2.5 = 6
• 3.5 = X
• 3.5 x 6 / 2.5 = X
• 21 / 2.5 = X
• 8.4 = X
• 1 = 60
• 0.4 = X
• 0.4 x 60 = 24

Therefore, it would have taken Homer 8 hours and 24 minutes to fix the deck himself.

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