Question
Anil, Anshika and Anamika can do a certain piece of work
in 64 days, 72 days and 96 days, respectively. All of them started working together but after ___ days, Anil and Anshika left the job and the remaining work is done by Anamika alone in ___ days. The values given in which of the following options will fill the blanks in the same order in which is it given to make the above statement true: I. 24, 4 II. 11, 53.5 III. 18, 27 IV. 12, 50Solution
Let the total work = 576 units (LCM of 64, 72 and 96) Amount of work done by Anil alone in one day = 576/64 = 9 units Amount of work done by Anshika alone in one day = 576/72 = 8 units Amount of work done by Anamika alone in one day = 576/96 = 6 units Amount of work done by Anil , Anshika and Anamika together in one day = 9 + 8 + 6 = 23 units For option A: Amount of work done by Anil , Anshika and Anamika together in 24 days = 23 × 24 = 552 units Amount of work done by Anamika alone in 4 days = 6 × 4 = 24 units Total work done = 552 + 24 = 576 units So, option A can be the answer. For option B: Amount of work done by Anil , Anshika and Anamika together in 11 days = 23 × 11 = 253 units Amount of work done by Anamika alone in 53.5 days = 6 × 53.5 = 321 units Total work done = 253 + 321 = 574 units ≠576 units So, option B can’t be the answer. For option C: Amount of work done by Anil, Anshika and Anamika together in 18 days = 23 × 18 = 414 units Amount of work done by Anamika alone in 27 days = 27 × 6 = 162 units Total work done = 414 + 162 = 576 units So, option C can be the answer. For option D: Amount of work done by Anil, Anshika and Anamika together in 12 days = 23 × 12 = 276 units Amount of work done by Anamika alone in 50 days = 6 × 50 = 300 units Total work done = 276 + 300 = 576 units So, option D can be the answer.
'A' and 'B' can complete a piece of work in 10 days, 'B' and 'C' can complete the work in 16 days, and 'A' and 'C' can complete the work in 20 days. Fin...
12 man can make a wall in 6 days. How many men required to complete the same work in 3 days ?
A can complete a work in 18 days and B in 24 days. They work together for 4 days, then C (who alone can complete the work in 36 days) joins them. Find t...
- Rahul used to complete 25 problems in 50 minutes. But now, his efficiency has dropped by 20%. How much time will he need to complete the same number of pro...
P and Q can do a piece of work in 20 days and 12 respectively, P started the work alone and then after 4 days Q joined him till the completion of the wo...
Rahul, Rohit, and Raj alone can complete a project in 40, 80, and 120 days respectively. All of them started working together, but after 10 days, Rahul ...
Lucas, Maya, and Riley can build a wall in 5, 10, and 15 days respectively. If they start the job together and Lucas leaves 3 days before the job is don...
Aman, Arun and Abraham can complete a work in 12, 20 and 24 days respectively. They all start working together. Aman left the work 1 day before its comp...
18 men, working 8 hours a day, can complete a task in 21 days. If a woman is 33(1/3)% less efficient than a man, how much time will it take for 24 women...
'A' alone can do some work in 15 days. 'B' is 40% more efficient than 'A'. 'A' worked alone for 8 days and left. How much time (in days) does 'B' need t...
Relevant for Exams:
