PSA_PRACTICE_QNR25. It takes Jose 12 days to complete a task. The same task would take Hans 24 days. After the two men work on the task for 4 days, Jose leaves for vacation and Hans continues. In how many more days will Hans finish the work?
Let, the task be of 1 unit.
Jose finishes the task in 12 days.
Jose’s one day work= 1/12
Similarly, Hans’s one day work= 1/24
When two men work together, both complete (1/12 + 1/24) units in one day.
1/12 + 1/24 = 1/8
In 4 days, both complete 4*(1/8) or 1/2 of the work. Remaining work is 1/2 units. Hans can finish it in 12 days.
Let the total work comprises of 24 units.
Jose does 2 units every day and Hans 1 unit every day.
Both do 3 units every day.
In 4 days, 4*3=12 units every day.
Remaining work=24-12=12 units. Hans can finish it in 12 days.