A) 3 days
B) 5 days
D) 2 days
Let us consider Alia’s work first.
Alia completes the assignment in 5 days.
=> Part of completed in first day is 1 / 5th of the work.
Therefore work done in 1 day is 1 / 5 => Equation 1
Baber completes assignment in 20 days.
=> Part of work completed in first day is 1 / 20 th of the work.
Therefore work done in one day is 1 / 20 => Equation 2
Adding equations 1 and 2 we get the amount of work done by them in the first day, if they worked together. This implies :
1 / 5 + 1 / 20 = 1 / x
Here x represents the total number of days taken to complete the work.
Taking LCM we get,
4 / 20 + 1 / 20 = 1 / x
=> 5 / 20 = 1 / x
=> 1 / 4 = 1 / x
Cross multiplying we get,
=> 1 * x = 1 * 4
=> x = 4
Hence the total number of days that will take if Alia and Baber work together is 4 days.
- Twelve children take sixteen days to complete a work which can be completed by 8 adults in 12 days. After working for 3 days, sixteen adults left and six adults and four children joined them. How many days will it take to complete the remaining work?
- Asghar can do a job in 60 days and both Asghar and Babar can do the same job in 20 days working together. Babar alone can do the same job in:
- A group of 10 students working one hour day complete a job in 12 days. In how rm days will 12 students in group working (hour per day finish the same job?
- 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?