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If 15 workers can build a wall in 10 days, how many workers are needed to build it in 6 days?
20
25
30
18
25
Use the inverse ratio method: since time decreases from 10 to 6 days (ratio 5:3), workers must increase in the inverse ratio (3:5), giving 15├Ч35тАЛ=25.
Initial workers = 15, Initial days = 10 days, Target days = 6 days
M1тАЛ├ЧD1тАЛ=M2тАЛ├ЧD2тАЛ
Use the inverse ratio method: since time decreases from 10 to 6 days (ratio 5:3), workers must increase in the inverse ratio (3:5), giving 15├Ч35тАЛ=25.
Applying direct proportion by multiplying 15├Ч106тАЛ instead of recognizing that fewer days require more workers.
Calculate Total Man-Days
The total work required to build the wall is constant and can be expressed in total man-days.
15├Ч10=150┬аman-days
Set Up the Equation
Let x be the number of workers needed to complete the same work in 6 days. Equate this to the total man-days.
x├Ч6=150
Solve for Workers
Divide the total man-days by the target number of days to find the required workforce.
x=6150тАЛ=25
B is correct because 25 workers are required to finish the work in 6 days.
The inverse relationship between workers and time is identical to the speed and time relationship in distance problems.
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