Work and Time

Work and Time

In this post, we will learn about work and time concept because there is not any standard formula for the problem which fall in work and time category we will understand it with example.

Anil can do a job in 20 days. Babu can do the same job in 5 days. In how many days they can complete the job if they work together?

1. 4
2. 5
3. 6
4. 7

Solution:

 Efficiency of Anil = (100/20) = 5  
 Efficiency of Babbu = (100/5) = 20  
 Efficiency together = Efficiency of Anil + Efficiency of Babbu = 25  
 it means together they can finish 25% of work in one day  
 For so to finish 100% work they will take (100/25) = 4 Day  

Efficiency = 100/time

Anil and Babu can do a job in 8 days. Babu and Charan can do the same job in 12 days. Anil, Babu and Charan can do the job in 6 days. In how many days Anil and Charan can complete the job?

1. 8
2. 7
3. 6
4. 5

 Anil and Babu efficiency = (100/8) = 12.5  
 Babu and Charan efficiency = (100/12) = 8.33  
 Anil, Babu and Charan efficiency = (100/6) = 16.66  
 efficiency of Anil = efficiency of (Anil + Babu + charan) - efficiency of (Babu + Charan)   
                    = 16.66 - 12.5 = 4.16  
 efficiency of Charan = efficiency of (Anil + Babu + charan) - efficiency of (Anil + Babu)   
                      = 16.66 – 8.33 = 8.33  
 Anil and charan efficiency = efficiency of Anil + efficiency of Charan  
                            = 4.16 + 8.33 = 12.5  
 So Anil and Charan together take 100/12.5 = 8 Day  

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