1.

A can do a piece of work in 8 hrs. B and C can do it in 6 hrs. A and C can do it in 4 hrs. Then find how long will B alone take to do it?1. 18 hrs2. 16 hrs3. 24 hrs4. 10 hrs

Answer» Correct Answer - Option 3 : 24 hrs

Given:

A can do a piece of work = 8 hrs

B + C can do a piece of work = 6 hrs

A + C can do a piece of work = 4 hrs

Concept used:

Total work = LCM

Formula used:

Efficiency = Work/Time

Calculations:

Total work = LCM = 24

Person

Time

Total work

Efficiency

A

8 days

24

24/8 = 3

B + C

6 days

24

24/6 = 4

C + A

4 days

24

24/4 = 6


Efficiency of C = 6 – 3 = 3

Now, Efficiency of B = 4 – 3 = 1

Time taken by B to complete the work alone = 24/1 = 24 hrs.



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