Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 390 · 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 6 days and Pooja in 24 days. Rohan works alone for 3 days and then stops. Pooja finishes the rest. How many days does Pooja take?
2. 2.Ananya and Rohan together finish a job in 10 days. Ananya alone takes 14 days. How many days would Rohan take alone?
3. 3.Aditya can finish a job in 6 days and Ishaan in 12 days. What fraction of the job do they finish if they work together for 2 days? =
4. 4.Saanvi works twice as fast as Manav. Together they finish a job in 3 days. How many days would Manav take alone?
5. 5.Dev can finish a job in 12 days and Karan in 17 days. What fraction of the job do they finish if they work together for 1 day? =
6. 6.Diya can finish a job in 10 days and Manav in 15 days. Diya works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
7. 7.Priya can finish a job in 15 days and Diya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
8. 8.Ishaan works three times as fast as Arjun. Together they finish a job in 4 days. How many days would Arjun take alone?
9. 9.Karan and Rohan together finish a job in 8 days. Karan alone takes 16 days. How many days would Rohan take alone?
10. 10.Vivaan can finish a job in 5 days and Kavya in 10 days. Vivaan works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?
11. 11.Dev can finish a job in 7 days and Rohan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
12. 12.Manav can finish a job in 8 days and Priya in 18 days. Manav works alone for 4 days and then stops. Priya finishes the rest. How many days does Priya take?
13. 13.Dev and Vivaan together finish a job in 3 days. Dev alone takes 4 days. How many days would Vivaan take alone?
14. 14.Dev works twice as fast as Karan. Together they finish a job in 8 days. How many days would Karan take alone?
15. 15.Meera can finish a job in 10 days and Zoya in 5 days. Meera works alone for 2 days and then stops. Zoya finishes the rest. How many days does Zoya take?
16. 16.Pooja and Arjun together finish a job in 2 days. Pooja alone takes 3 days. How many days would Arjun take alone?
17. 17.Pooja can finish a job in 8 days and Arjun in 24 days. Pooja works alone for 5 days and then stops. Arjun finishes the rest. How many days does Arjun take?
18. 18.Saanvi and Isha together finish a job in 18 days. Saanvi alone takes 27 days. How many days would Isha take alone?
19. 19.Ananya can finish a job in 4 days and Rahul in 20 days. Ananya works alone for 2 days and then stops. Rahul finishes the rest. How many days does Rahul take?
20. 20.Rohan can finish a job in 16 days and Arjun in 8 days. Rohan works alone for 12 days and then stops. Arjun finishes the rest. How many days does Arjun take?
21. 21.Aarav works twice as fast as Pooja. Together they finish a job in 11 days. How many days would Pooja take alone?
22. 22.Vivaan works three times as fast as Aarav. Together they finish a job in 7 days. How many days would Aarav take alone?
23. 23.Saanvi works three times as fast as Nisha. Together they finish a job in 11 days. How many days would Nisha take alone?
24. 24.Priya can finish a job in 30 days and Kavya in 10 days. Priya works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?
25. 25.Kabir can finish a job in 6 days and Vivaan in 13 days. What fraction of the job do they finish if they work together for 2 days? =
26. 26.Isha can finish a job in 4 days and Diya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
27. 27.Isha works twice as fast as Karan. Together they finish a job in 7 days. How many days would Karan take alone?
28. 28.Kabir can finish a job in 4 days and Priya in 12 days. Kabir works alone for 2 days and then stops. Priya finishes the rest. How many days does Priya take?
29. 29.Aditya works twice as fast as Farhan. Together they finish a job in 12 days. How many days would Farhan take alone?
30. 30.Meera works three times as fast as Dev. Together they finish a job in 7 days. How many days would Dev take alone?
31. 31.Rahul can finish a job in 13 days and Manav in 6 days. What fraction of the job do they finish if they work together for 3 days? =
32. 32.Saanvi can finish a job in 7 days and Manav in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
33. 33.Arjun works three times as fast as Dev. Together they finish a job in 5 days. How many days would Dev take alone?
34. 34.Saanvi can finish a job in 10 days and Sneha in 5 days. What fraction of the job do they finish if they work together for 2 days? =
35. 35.Farhan works three times as fast as Dev. Together they finish a job in 5 days. How many days would Dev take alone?
36. 36.Isha can finish a job in 19 days and Meera in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
37. 37.Sneha can finish a job in 15 days and Kabir in 20 days. What fraction of the job do they finish if they work together for 1 day? =
38. 38.Ananya can finish a job in 10 days and Karan in 14 days. What fraction of the job do they finish if they work together for 1 day? =
39. 39.Rahul works three times as fast as Meera. Together they finish a job in 9 days. How many days would Meera take alone?
40. 40.Kavya and Diya together finish a job in 8 days. Kavya alone takes 9 days. How many days would Diya take alone?

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