Question
'Sunil', 'Arjun', and 'Rahul' can complete a task
individually in 45, 60, and 90 days respectively. All began the work together, but Sunil and Arjun left 11 and 6 days before work completion respectively. Calculate the total time to finish the task. (Calculate approximate value)Solution
ATQ,
Let the total work be 180 units (LCM of 45, 60, 90)
Efficiency of Sunil = 180 / 45 = 4 units/day
Efficiency of Arjun = 180 / 60 = 3 units/day
Efficiency of Rahul = 180 / 90 = 2 units/day
Let total time = n days
(4 + 3 + 2)(n - 11) + (3 + 2)(5) + 2(6) = 180
Or, 9n - 99 + 25 + 12 = 180
Or, 9n = 242
So, n = 242 / 9 = 26.88 ≈ 27 days
A, B and C alone can complete a work in 18, 32 and 24 days respectively. All of them started working together but after 3 days from start A left the job...
A and B can complete a work together in 30 days. If A alone can complete one-third of the work in ‘x’ days and remaining work is completed b...
Team A can built a project in 6 hours less than the time taken by Team B to built the same project.
The ratio of the strength of Team A to that o...
A group of 24 men is capable of finishing a task in 15 days. Initially, 12 men begin the job and work on it for 12 days. After this period, an additiona...
A is capable of finishing a task in 60 days. B requires 40% more time than A to finish the same task. How many days will A and B need to complete 80% of...
Vijay can do a piece of work in 16 days and Sanjay can do the same work in 24 days. If Vijay works for 6 days and got Rs. 2700, and the remaining work w...
A and B can complete a work in 12 days and 16 days, respectively. They start working together, but after 4 days, A leaves the work. C joins B, and they ...
If a group of 20 boys and 10 girls can finish a task in 50 days, and a team of 8 girls alone can complete the same task in 120 days, how long will it ta...
'A' and 'B' can together complete a job in 15 days. If 'B' alone can finish 50% of the job in 20 days, how long would it take 'A' alone to complete the ...
‘A’ and ‘B’ can complete a certain work in 10 days and 15 days, respectively. They started working together and worked till completion of the wo...
