SOLUTION: a contractor engages 24 workers to build a road in 30 days. after 24 days he finds that 1/4 of the work remains. how many more workers are needed to build the road in time.

Question 824561: a contractor engages 24 workers to build a road in 30 days. after 24 days he finds that 1/4 of the work remains. how many more workers are needed to build the road in time.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
---
work rate experienced during the first 24 days:
r = jobs/(workers*time)
r = (3/4)/(24*24)
r = 0.001302083333333 job/(worker*day)
---
assume the same work rate to complete the remaining 1/4 of the job in the remaining 6 days:
r = (1/4)/(workers*6)
workers = (1/4)/(6*r)
workers = (1/4)/(6*0.001302083333333)
workers = 32
additional workers = 32 - 24 = 8
---
answer:
to complete the job in the remaining 6 days, the contractor must hire 8 additional workers, for a total of 32 workers.
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
RELATED QUESTIONS
A road contractor wanted to build a 200 meter long road in 30 days and employed 20... (answered by ankor@dixie-net.com,MathTherapy)

12 workers can build a road in 30 days . how many workers required to build a road in 10... (answered by TimothyLamb)

A contractor engages 16 men to build a wall 80 metres long and estimated that they will... (answered by ewatrrr)

A contractor agrees to lay a road 3000m long in 30 days. 50 men are employed and they... (answered by josgarithmetic,MathTherapy)

A contractor agrees to lay a road 3000m long in 30 days. 50 men are employed and they... (answered by josgarithmetic,ikleyn)

A contractor undertook to build a building in 52 days and employed 24 men to work. Only... (answered by ankor@dixie-net.com,josgarithmetic)

a contractor contract to build a house in 30 days after 20 days 10 men complete 1/3 work... (answered by josgarithmetic)

A contractor undertook to build a road in 200 days he employed 140 men after 60 days he... (answered by josgarithmetic,josmiceli,ikleyn,MathTherapy)

A contractor agrees to lay a road 3000 m long in 30 days. 50 men are employed and they... (answered by ankor@dixie-net.com)