Three painters, Peter, Jim, and Sandra, working together can paint the exterior of a home in 90 hours. Jim and Sandra, working together, can paint the same kind of house in 135 hours. One day, all three worked together for 36 hours before Sandra had to leave. Thus, Peter and Jim required 64 more hours to finish the job. Assuming no gain or loss in efficiency, how long should it take each person to complete such a job alone? Round answers, if necessary to the nearest whole number.
Three painters, Peter, Jim, and Sandra, working together can paint the exterior of a home in 90 hours. Jim and Sandra, working together, can paint the same kind of house in 135 hours. One day, all three worked together for 36 hours before Sandra had to leave. Thus, Peter and Jim required 64 more hours to finish the job. Assuming no gain or loss in efficiency, how long should it take each person to complete such a job alone? Round answers, if necessary to the nearest whole number.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Three painters, Peter, Jim, and Sandra, working together can paint the exterior of a home in 90 hours. Jim and Sandra, working together, can paint the same kind of house in 135 hours. One day, all three worked together for 36 hours before Sandra had to leave. Thus, Peter and Jim required 64 more hours to finish the job. Assuming no gain or loss in efficiency, how long should it take each person to complete such a job alone? Round answers, if necessary to the nearest whole number.
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