Question

6 lumberjacks can cut down 15 mahogany trees in 2 hours. How much longer will

it take 8 lumberjacks to cut down 35 mahogany trees working at the same rate?
B. 1}hr
c.hr
A. 3hr
D. 21hr​

Answer 1

9514 1404 393

Answer:

3.5 hr

Explanation:

We assume that "the same rate" means effort per tree is a constant. "Effort" is measured as the product of lumberjacks and hours. Then ...

(lumberjacks)(hours)/trees = (6)(2)/15 = (8)(t)/35

Multiplying by 35/8, we have ...

(35/8)(12/15) = t = (3·4·5·7)/(2·3·4·5) = 7/2 = 3.5

It will take 8 lumberjacks 3.5 hours to cut down 35 trees.