Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 318 · 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.Ananya works twice as fast as Zoya. Together they finish a job in 8 days. How many days would Zoya take alone?
2. 2.Meera and Aarav together finish a job in 18 days. Meera alone takes 30 days. How many days would Aarav take alone?
3. 3.Rahul can finish a job in 2 days and Arjun in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
4. 4.Meera can finish a job in 5 days and Diya in 10 days. Meera works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
5. 5.Aditya works twice as fast as Diya. Together they finish a job in 2 days. How many days would Diya take alone?
6. 6.Vivaan can finish a job in 8 days and Ishaan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
7. 7.Karan can finish a job in 4 days and Priya in 8 days. Karan works alone for 1 day and then stops. Priya finishes the rest. How many days does Priya take?
8. 8.Vivaan and Kavya together finish a job in 4 days. Vivaan alone takes 5 days. How many days would Kavya take alone?
9. 9.Diya can finish a job in 8 days and Kavya in 16 days. Diya works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
10. 10.Zoya can finish a job in 7 days and Kavya in 20 days. What fraction of the job do they finish if they work together for 3 days? =
11. 11.Karan can finish a job in 14 days and Arjun in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
12. 12.Aarav can finish a job in 11 days and Dev in 15 days. What fraction of the job do they finish if they work together for 2 days? =
13. 13.Ananya and Rahul together finish a job in 14 days. Ananya alone takes 21 days. How many days would Rahul take alone?
14. 14.Rohan can finish a job in 4 days and Arjun in 12 days. What fraction of the job do they finish if they work together for 1 day? =
15. 15.Priya and Ishaan together finish a job in 2 days. Priya alone takes 4 days. How many days would Ishaan take alone?
16. 16.Diya can finish a job in 6 days and Dev in 30 days. Diya works alone for 5 days and then stops. Dev finishes the rest. How many days does Dev take?
17. 17.Dev can finish a job in 6 days and Nisha in 18 days. Dev works alone for 2 days and then stops. Nisha finishes the rest. How many days does Nisha take?
18. 18.Manav works twice as fast as Karan. Together they finish a job in 11 days. How many days would Karan take alone?
19. 19.Sneha works three times as fast as Ananya. Together they finish a job in 4 days. How many days would Ananya take alone?
20. 20.Saanvi can finish a job in 3 days and Farhan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
21. 21.Meera can finish a job in 4 days and Aditya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
22. 22.Aditya and Tara together finish a job in 4 days. Aditya alone takes 5 days. How many days would Tara take alone?
23. 23.Kabir works three times as fast as Dev. Together they finish a job in 12 days. How many days would Dev take alone?
24. 24.Ishaan works twice as fast as Isha. Together they finish a job in 6 days. How many days would Isha take alone?
25. 25.Zoya works twice as fast as Aarav. Together they finish a job in 11 days. How many days would Aarav take alone?
26. 26.Karan can finish a job in 14 days and Rahul in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
27. 27.Dev can finish a job in 12 days and Diya in 6 days. Dev works alone for 6 days and then stops. Diya finishes the rest. How many days does Diya take?
28. 28.Farhan can finish a job in 16 days and Diya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
29. 29.Rohan can finish a job in 16 days and Aarav in 30 days. Rohan works alone for 8 days and then stops. Aarav finishes the rest. How many days does Aarav take?
30. 30.Kabir works twice as fast as Diya. Together they finish a job in 4 days. How many days would Diya take alone?
31. 31.Aditya can finish a job in 4 days and Nisha in 30 days. Aditya works alone for 2 days and then stops. Nisha finishes the rest. How many days does Nisha take?
32. 32.Rohan works twice as fast as Kavya. Together they finish a job in 2 days. How many days would Kavya take alone?
33. 33.Pooja and Tara together finish a job in 2 days. Pooja alone takes 6 days. How many days would Tara take alone?
34. 34.Manav can finish a job in 8 days and Saanvi in 16 days. Manav works alone for 4 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
35. 35.Meera works three times as fast as Pooja. Together they finish a job in 3 days. How many days would Pooja take alone?
36. 36.Vivaan can finish a job in 10 days and Aarav in 11 days. What fraction of the job do they finish if they work together for 2 days? =
37. 37.Isha can finish a job in 24 days and Pooja in 8 days. Isha works alone for 12 days and then stops. Pooja finishes the rest. How many days does Pooja take?
38. 38.Karan can finish a job in 17 days and Vivaan in 20 days. What fraction of the job do they finish if they work together for 3 days? =
39. 39.Tara works twice as fast as Pooja. Together they finish a job in 6 days. How many days would Pooja take alone?
40. 40.Vivaan can finish a job in 20 days and Isha in 17 days. What fraction of the job do they finish if they work together for 1 day? =

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