Question 665991
A small elementary school has 8 classrooms.
 It took 8 workers 10 hours to paint 3 classrooms,
Calculate how many man-hrs per classroom
{{{(8*10)/3}}} = 26.67 man-hrs
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the remaining 5 classrooms must be finished in 3 1/3 hours. How many more workers must they hire?
:
Find no. of man-hrs required to paint 5 class room
5*26.67 = 133.33 man-hrs
:
let m = no. of more workers required to finish 5 rooms in 3{{{1/3}}} hrs
3.33(m+8) = 133.33
3.33m + 26.64 = 133.33
3.33m = 133.33 - 26.64
m = 106.7/3.33
m = 32 more men required to accomplish this
:
:
Check this, a total of 40 men are working
calculate man hours, when 40 men work 3.33 hrs: 40 * 3.333 ~ 133 man-hrs
calculate how many class room can be done with 133 man-hrs: 133/26.67 ~ 5 rooms