it takes 7 men 10 days to build a garage.Halfway through building the garage they get some help from 3 people and continue to work at the same rate
a)How long will it take to finish of the garage
b)How long did it take
7*10 man days
After 5 days or 35 man days
there are now 10 men to do 35 man days of work
35/10=3.5 days to finish the work for a total of 8.5 days
To calculate how long it will take to finish building the garage, we need to determine the total amount of work that needs to be done.
Since it takes 7 men 10 days to build the garage, we can calculate the amount of work done by one man in one day. This can be done by dividing the total work done by the number of men and the number of days:
Total work done = 7 men * 10 days = 70 man-days
Therefore, one man can complete 1/70th of the garage in one day.
Now, when 3 people join halfway through the project, the total number of workers becomes 7 men + 3 people = 10 workers.
Since the total work of the garage remains the same, we can divide the total work by the number of workers to find out how long it will take to complete the garage with the additional help:
Total work done / Number of workers = 70 man-days / 10 workers = 7 days
Therefore, it will take an additional 7 days for the 10 workers to finish building the garage.
To answer the second question, we need to calculate the total number of days it took to complete the garage when including the extra help.
Since the initial 7 men worked for 10 days and the additional 10 workers worked for 7 days, we can calculate the total number of days by adding both durations:
Total number of days = 10 days + 7 days = 17 days
Hence, it took 17 days in total to complete the garage.