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Answers
Question :
Alam and Vinod work on job for four days and complete 40 % of it Alam takes a leave and Vinod works for 9 more days to complete the job . How long would Alam take to complete the entire job alone ?
Solution :
Portion of work done by Alam and Vinod work together for 4 days = 40 % of work = 40 /100 of work
Portion of work done by Alam and Vinod in 1 day = ( 40 / 100 ) × ( 1 / 4 ) = 1 / 10 of work
Alam takes a leave after 4 days
So, The remaining portion of work that has to be done by Vinod for 9 more days = 100 % - 40 % = 60 % = 60 / 100 of work
Portion of work done by Vinod in 1 day = ( 60 / 100 ) × ( 1 / 9 ) = 2 / 30 of work
We know that
Portion of work done by Alam in 1 day = Portion of work done by Alam and Vinod in 1 day - Portion of work done by Vinod in 1 day
= ( 1 / 10 ) - ( 2 / 30 )
= ( 3 - 2 ) / 30
= 1 / 30
Therefore Alam would take 30 days to complete the entire job alone.
Answer:
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