David worked 7 1/3 hours today and planted 11 trees. It takes him about the same amount of time to plant each tree. How long did it take him to plant each tree?

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Answer:

2/3 hours or 40 mins.

Step-by-step explanation:

No. of trees planted by David = 11

No. of hours worked by David to plant 11 trees = 7 1/3 hours = (7*3 + 1) /3 = 22/3

It takes him about the same amount of time to plant each tree

let time taken to plan 1 tree be x

then  time taken to plan 1*11 tree = 11*x

But, given that total time taken is 22/3 hours

thus,

11x = 22/3 hours

x = 22/(3 *11) = 2/3

Thus, it took 2/3 hours to plant each tree.

As 1 hour has 60 minutes

Time taken in minutes to plant 1 tree = 2/3 *60 mins = 40 mins

It takes David 2/3 hours to plant each tree.

Since it takes David 7 1/3 hours today to plant 11 trees.

Therefore time taken to plant 11 trees = 7 1/3 hours = 22/3 hours

The time taken to plant each tree = 22/3 hours ÷ 11 trees = 2/3 hours per tree

Therefore it takes David 2/3 hours to plant each tree.

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