A takes 20 days---> 1 day work done by A is 1/20
B takes 30 days---> 1 day work done by B is 1/30
Together in 1 day---> 1/20=1/30=5/60=1/12 work is done
A quit 10 days before the project was completed which means B worked alone for 10 days and therefore complete 10*1/30 = 1/3rd of the total work.
2/3rd of the work was done by A and B together at 1/12th work per day.
Therefore days taken to complete work together = (2/3)/(1/12) = 24/3= 8 days
Therefore total days taken for completion of the project is 8+10 = 18 days
B takes 30 days---> 1 day work done by B is 1/30
Together in 1 day---> 1/20=1/30=5/60=1/12 work is done
A quit 10 days before the project was completed which means B worked alone for 10 days and therefore complete 10*1/30 = 1/3rd of the total work.
2/3rd of the work was done by A and B together at 1/12th work per day.
Therefore days taken to complete work together = (2/3)/(1/12) = 24/3= 8 days
Therefore total days taken for completion of the project is 8+10 = 18 days
Win as if you were used to it; lose as if you enjoyed it for a change!
