Kasim, Yasir and Zakir can together finish a job in 1 day. The efficiency of Kasim is thrice that of Zakir and the efficiency of Yasir is twice that of Zakir. What is the ratio of the number of days  taken by kasim and Yasir together to finish the job to the number of days taken by Yasir and Zakir together to finish the job? 

 

A.        5 : 3

B.        2 : 5

C.        3 : 5

D.        5 : 2

E.         None of these

C. 3 : 5

 

Let Kasim,Yasir and Zakir take 2x,3x & 6x days to finish the job alone. therefore in one day they will complete 1/2x,1/3x & 1/6x respectively.

Number of days taken by Kasim & Yasir together to finish the job=

1/(1/2x+1/3x)=6x/5

Number of days taken by Yasir & Zakir together to finish the job=

1/(1/3x+1/6x)=6x/3

Required ratio=3:5  

 

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