Question

part 8: advanced ratios, proportions, and percentages
part 8: advanced ratios, proportions, and percentages
score: 60/100 answered: 6/10
question 7
a maintenance task is completed by 2 mechanics in 8 hours. how long will it take if 3 mechanics work on the same task?
round your answer to one decimal place, as needed.
hours

Explanation:

Step1: Determine total work

The work done by 2 mechanics in 8 hours. Let the work rate of one mechanic be \( r \). Then total work \( W = 2\times r\times 8=16r \).

Step2: Calculate time for 3 mechanics

Now, with 3 mechanics, let the time be \( t \). The work is still \( W = 3\times r\times t \). Since \( W = 16r \), we have \( 3rt=16r \). Cancel \( r \) (assuming \( r
eq0 \)), then \( 3t = 16 \), so \( t=\frac{16}{3}\approx5.3 \).

Answer:

\( 5.3 \)