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A job can be completed by 2 men, 3 women and 4 children in 15 days. The same work, can be completed by 9 women and 6 children in 10 days. If 1 man and 1 woman can complete it in 48 days . Find the time in which one man can complete it. ( in days)A. 60B. 75C. 80D. 90 |
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Answer» Correct Answer - C Let the work which can be completed each day by each man, each women and each child be m units, w units and t units respectively. Work which two, men three women and four childrn can complete `=(2m+3w+4c)` units `:. Job=(2m+3w+4c)(15)` units `=(9w-6c)(10)` unis `=(m+w)(48)` units `(2m+3w+4c)(15)=(9w+6c)(10)` `30m+45w+60c=90w+60c` `30m=45w` `m=(3)/(2)w,` `:. Job=((3)/(2)w+w)(48)` units `120w` units Time in which a man can complete it `=(120w)/((3)/(2)w)"days"=80 "days"` |
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