Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 77 · 40 questions

The method (LCM units): Take the whole job as the LCM of the days. Units a day for each person = job ÷ their days. Add for working together. Days = job ÷ units a day. The answer can be a fraction like 20/9 days. Someone works a few days and stops: find what is left, then share it out.

1. 1.Rohan can finish a job in 16 days and Farhan in 19 days. What fraction of the job do they finish if they work together for 3 days? =
2. 2.Karan can finish a job in 14 days and Aditya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
3. 3.Aditya and Rahul together finish a job in 6 days. Aditya alone takes 15 days. How many days would Rahul take alone?
4. 4.Isha works twice as fast as Kabir. Together they finish a job in 10 days. How many days would Kabir take alone?
5. 5.Manav can finish a job in 14 days and Zoya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
6. 6.Zoya can finish a job in 4 days and Meera in 16 days. What fraction of the job do they finish if they work together for 2 days? =
7. 7.Zoya can finish a job in 17 days and Isha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
8. 8.Manav and Diya together finish a job in 2 days. Manav alone takes 3 days. How many days would Diya take alone?
9. 9.Meera works twice as fast as Dev. Together they finish a job in 6 days. How many days would Dev take alone?
10. 10.Kabir can finish a job in 7 days and Sneha in 4 days. What fraction of the job do they finish if they work together for 2 days? =
11. 11.Aditya works three times as fast as Rahul. Together they finish a job in 3 days. How many days would Rahul take alone?
12. 12.Kavya works three times as fast as Arjun. Together they finish a job in 4 days. How many days would Arjun take alone?
13. 13.Aditya works twice as fast as Meera. Together they finish a job in 8 days. How many days would Meera take alone?
14. 14.Manav works three times as fast as Aarav. Together they finish a job in 11 days. How many days would Aarav take alone?
15. 15.Saanvi can finish a job in 4 days and Kabir in 28 days. Saanvi works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
16. 16.Karan can finish a job in 8 days and Aarav in 16 days. Karan works alone for 1 day and then stops. Aarav finishes the rest. How many days does Aarav take?
17. 17.Dev can finish a job in 30 days and Aditya in 10 days. Dev works alone for 12 days and then stops. Aditya finishes the rest. How many days does Aditya take?
18. 18.Meera works three times as fast as Manav. Together they finish a job in 8 days. How many days would Manav take alone?
19. 19.Sneha can finish a job in 18 days and Pooja in 17 days. What fraction of the job do they finish if they work together for 3 days? =
20. 20.Ananya can finish a job in 22 days and Meera in 12 days. Ananya works alone for 11 days and then stops. Meera finishes the rest. How many days does Meera take?
21. 21.Diya can finish a job in 14 days and Vivaan in 28 days. Diya works alone for 2 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
22. 22.Dev works three times as fast as Kavya. Together they finish a job in 11 days. How many days would Kavya take alone?
23. 23.Ananya can finish a job in 8 days and Aarav in 11 days. What fraction of the job do they finish if they work together for 2 days? =
24. 24.Saanvi and Tara together finish a job in 2 days. Saanvi alone takes 6 days. How many days would Tara take alone?
25. 25.Vivaan works three times as fast as Tara. Together they finish a job in 4 days. How many days would Tara take alone?
26. 26.Kabir can finish a job in 16 days and Ananya in 19 days. What fraction of the job do they finish if they work together for 2 days? =
27. 27.Nisha can finish a job in 5 days and Ananya in 30 days. Nisha works alone for 2 days and then stops. Ananya finishes the rest. How many days does Ananya take?
28. 28.Arjun can finish a job in 9 days and Tara in 13 days. What fraction of the job do they finish if they work together for 1 day? =
29. 29.Farhan works twice as fast as Kabir. Together they finish a job in 6 days. How many days would Kabir take alone?
30. 30.Arjun and Tara together finish a job in 8 days. Arjun alone takes 10 days. How many days would Tara take alone?
31. 31.Farhan can finish a job in 15 days and Nisha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
32. 32.Saanvi works twice as fast as Meera. Together they finish a job in 3 days. How many days would Meera take alone?
33. 33.Nisha and Arjun together finish a job in 2 days. Nisha alone takes 3 days. How many days would Arjun take alone?
34. 34.Ishaan can finish a job in 24 days and Farhan in 27 days. Ishaan works alone for 8 days and then stops. Farhan finishes the rest. How many days does Farhan take?
35. 35.Meera works three times as fast as Tara. Together they finish a job in 9 days. How many days would Tara take alone?
36. 36.Meera can finish a job in 4 days and Dev in 10 days. Meera works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
37. 37.Aarav can finish a job in 6 days and Tara in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
38. 38.Dev can finish a job in 13 days and Kabir in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
39. 39.Meera can finish a job in 3 days and Diya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
40. 40.Priya can finish a job in 17 days and Meera in 10 days. What fraction of the job do they finish if they work together for 3 days? =

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