SOLUTION: Two welders who work at the same rate are welding the girders of a building. After they work for 10 hours, one welder quits. The second welder requires 20 more hours to complete th
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-> SOLUTION: Two welders who work at the same rate are welding the girders of a building. After they work for 10 hours, one welder quits. The second welder requires 20 more hours to complete th
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Question 122931: Two welders who work at the same rate are welding the girders of a building. After they work for 10 hours, one welder quits. The second welder requires 20 more hours to complete the welds.Find the time it would have taken one of the welders working alone to complete the welds. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Two welders who work at the same rate are welding the girders of a building. After they work for 10 hours, one welder quits. The second welder requires 20 more hours to complete the welds.Find the time it would have taken one of the welders working alone to complete the welds.
:
Let x = time for each welder to do the job alone
Let the completed job = 1
:
One welders works for 10 hrs and the other works for 30 hrs to complete the job
: + = 1
:
Multiply the equation by x to get rid of the denominators:
10 + 30 = x
x = 40 hrs required if working alone
:
Check:
10/40 + 30/40 = 1
