InterviewSolution
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InterviewSolution
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Two workers A and B are engaged to do a piece of work. Working alone, A takes 8 hours more to complete the work than if both worked together. On the other hand, working alone, B would need `4(1)/(2)` hours more to complete the work than if both worked together. How much time would they take to complete the job working together?A. 4HoursB. 5HoursC. 6 HoursD. 7 Hours |
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Answer» Correct Answer - C If A & B work together take time t hr. If A work alone takes t+8hr.to complete the work Work /hr by A is `(1)/(t+8)` Similarly for B work/hr is `(1)/(t+9//2)` When A & B work together there work/hr `(1)/(t+8)+(1)/(t+9//2)` Work will be done in t hr. `t((1)/(t+8)+(1)/(t+9//2))=1` By solving t=6 |
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