Asked by Kay
Lindsey and Stephen work at a factory. Lindsey can complete one full job in three hours, and Stephen can complete the same job in five hours. If Lindsey and Stephen work together on the job for one hour, then how long, in minutes, will it take Stephen to finish the job himself?
Answers
Answered by
Damon
L --- 1/3 job/hr
S ---1/5 job/hr
together 1/3 + 1/5 = 8/15 job/hr
(8/15 j/h)(1 h) = 8/15 job done
that leaves (15-8)/15 = 7/15 to do
(1/5)job/hr * t = 7/15 job
t = 35/15 hr for S to finish
35/15 hr * 60 min/hr = 140 min
S ---1/5 job/hr
together 1/3 + 1/5 = 8/15 job/hr
(8/15 j/h)(1 h) = 8/15 job done
that leaves (15-8)/15 = 7/15 to do
(1/5)job/hr * t = 7/15 job
t = 35/15 hr for S to finish
35/15 hr * 60 min/hr = 140 min
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