Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 407 · 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 and Diya together finish a job in 2 days. Rohan alone takes 3 days. How many days would Diya take alone?
2. 2.Priya can finish a job in 5 days and Saanvi in 20 days. Priya works alone for 4 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
3. 3.Karan can finish a job in 5 days and Kavya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
4. 4.Nisha can finish a job in 4 days and Kabir in 17 days. What fraction of the job do they finish if they work together for 1 day? =
5. 5.Tara works three times as fast as Rahul. Together they finish a job in 12 days. How many days would Rahul take alone?
6. 6.Manav can finish a job in 4 days and Aarav in 20 days. Manav works alone for 1 day and then stops. Aarav finishes the rest. How many days does Aarav take?
7. 7.Meera can finish a job in 6 days and Zoya in 12 days. Meera works alone for 1 day and then stops. Zoya finishes the rest. How many days does Zoya take?
8. 8.Aarav works three times as fast as Dev. Together they finish a job in 4 days. How many days would Dev take alone?
9. 9.Diya can finish a job in 8 days and Ishaan in 18 days. What fraction of the job do they finish if they work together for 2 days? =
10. 10.Isha can finish a job in 22 days and Dev in 11 days. Isha works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
11. 11.Diya can finish a job in 5 days and Kavya in 10 days. Diya works alone for 1 day and then stops. Kavya finishes the rest. How many days does Kavya take?
12. 12.Vivaan can finish a job in 11 days and Isha in 12 days. What fraction of the job do they finish if they work together for 3 days? =
13. 13.Kabir can finish a job in 14 days and Nisha in 28 days. Kabir works alone for 11 days and then stops. Nisha finishes the rest. How many days does Nisha take?
14. 14.Rahul can finish a job in 6 days and Saanvi in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
15. 15.Pooja can finish a job in 16 days and Aarav in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
16. 16.Ananya can finish a job in 17 days and Aditya in 20 days. What fraction of the job do they finish if they work together for 2 days? =
17. 17.Kabir works three times as fast as Isha. Together they finish a job in 2 days. How many days would Isha take alone?
18. 18.Isha can finish a job in 17 days and Ishaan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
19. 19.Aarav can finish a job in 8 days and Nisha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
20. 20.Rahul can finish a job in 20 days and Diya in 12 days. What fraction of the job do they finish if they work together for 1 day? =
21. 21.Ananya works three times as fast as Ishaan. Together they finish a job in 6 days. How many days would Ishaan take alone?
22. 22.Saanvi can finish a job in 10 days and Rahul in 18 days. Saanvi works alone for 5 days and then stops. Rahul finishes the rest. How many days does Rahul take?
23. 23.Arjun works twice as fast as Pooja. Together they finish a job in 12 days. How many days would Pooja take alone?
24. 24.Meera can finish a job in 2 days and Aditya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
25. 25.Aditya and Aarav together finish a job in 9 days. Aditya alone takes 12 days. How many days would Aarav take alone?
26. 26.Farhan can finish a job in 13 days and Vivaan in 17 days. What fraction of the job do they finish if they work together for 3 days? =
27. 27.Meera can finish a job in 5 days and Dev in 20 days. Meera works alone for 3 days and then stops. Dev finishes the rest. How many days does Dev take?
28. 28.Vivaan can finish a job in 15 days and Rahul in 20 days. Vivaan works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
29. 29.Kabir works twice as fast as Nisha. Together they finish a job in 4 days. How many days would Nisha take alone?
30. 30.Priya and Ananya together finish a job in 4 days. Priya alone takes 5 days. How many days would Ananya take alone?
31. 31.Pooja can finish a job in 4 days and Ishaan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
32. 32.Priya works three times as fast as Kabir. Together they finish a job in 3 days. How many days would Kabir take alone?
33. 33.Tara works twice as fast as Isha. Together they finish a job in 4 days. How many days would Isha take alone?
34. 34.Ishaan and Rahul together finish a job in 2 days. Ishaan alone takes 3 days. How many days would Rahul take alone?
35. 35.Manav can finish a job in 9 days and Ishaan in 21 days. Manav works alone for 6 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
36. 36.Rohan can finish a job in 2 days and Aarav in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
37. 37.Kabir works three times as fast as Ananya. Together they finish a job in 3 days. How many days would Ananya take alone?
38. 38.Nisha can finish a job in 15 days and Rohan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
39. 39.Dev can finish a job in 5 days and Nisha in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
40. 40.Arjun can finish a job in 9 days and Farhan in 11 days. What fraction of the job do they finish if they work together for 1 day? =

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