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Two workers A and B are engaged to do a piece of work. A working alone would take 8 hours more to complete the work that when work together. If B worked alone, would take `4(1)/(2)` hours more than when work together. The time required to finish the work together is

A

4 hours

B

5 hours

C

6 hours

D

7 hours

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The correct Answer is:
C
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MAHENDRA-TIME AND WORK -EXERCISES
  1. A takes twice as much time as B and thrice as much time as C finish a ...

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  2. Mohan and Sohan are working on a assignment. Mohan takes 6 hours to ty...

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  3. Two workers A and B are engaged to do a piece of work. A working alone...

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  4. P can complete a work in 12 days working 8 hours a day. Q can complete...

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  5. A and B can do a work in 12 days, B and C in 15 days, C and A in 20 da...

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  6. A and B can do a piece of work in 72 days, B and C can do it in 120 da...

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  7. A and B can do a piece of work in 5 days, B and C can do it in 7 days ...

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  8. A can do a piece of work in 4 hours: B and C can do it in 3 hours. A a...

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  9. A can do a certain work in the same time in which B and C together can...

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  10. A Works twice as fast as B. If B can complete a work in 12 days indepe...

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  11. A is 30% more efficient than B. How much time will they, working toget...

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  12. A does half as much work as B in three-fourth of the time. If together...

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  13. A can finish a work in 18 days and B can do the same work in 15 days. ...

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  14. Ram and Mohan can complete a work in 15 days and 10 days respectively....

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  15. A can finish a work in 24 days, B in 9 days and C in 12 days. B and C ...

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  16. Machine P can print one lakh books in 8 hours, machine Q can print the...

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  17. A and B can do a piece of work in 30 days while B and C can do the sam...

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  18. X and Y can do a piece of work in 20 days and 12 days respectively. X ...

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  19. X can do a piece of work in 40 days. He works it for 8 days and then ...

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  20. If 5 men or 9 women can do a piece of work in 19 days. 3 men and 6 wom...

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