Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 101 · 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.Aditya can finish a job in 14 days and Rahul in 7 days. Aditya works alone for 8 days and then stops. Rahul finishes the rest. How many days does Rahul take?
2. 2.Tara and Kabir together finish a job in 6 days. Tara alone takes 10 days. How many days would Kabir take alone?
3. 3.Nisha can finish a job in 16 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.Diya can finish a job in 19 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. =
5. 5.Dev can finish a job in 4 days and Priya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
6. 6.Ishaan and Kabir together finish a job in 6 days. Ishaan alone takes 24 days. How many days would Kabir take alone?
7. 7.Meera can finish a job in 7 days and Aditya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
8. 8.Priya and Kavya together finish a job in 3 days. Priya alone takes 12 days. How many days would Kavya take alone?
9. 9.Rohan can finish a job in 28 days and Aarav in 14 days. Rohan works alone for 22 days and then stops. Aarav finishes the rest. How many days does Aarav take?
10. 10.Manav can finish a job in 16 days and Ananya in 5 days. What fraction of the job do they finish if they work together for 2 days? =
11. 11.Isha can finish a job in 13 days and Farhan in 20 days. What fraction of the job do they finish if they work together for 1 day? =
12. 12.Aditya can finish a job in 12 days and Tara in 10 days. What fraction of the job do they finish if they work together for 1 day? =
13. 13.Rohan works twice as fast as Vivaan. Together they finish a job in 6 days. How many days would Vivaan take alone?
14. 14.Arjun can finish a job in 10 days and Manav in 19 days. What fraction of the job do they finish if they work together for 3 days? =
15. 15.Meera works three times as fast as Tara. Together they finish a job in 6 days. How many days would Tara take alone?
16. 16.Sneha and Kavya together finish a job in 12 days. Sneha alone takes 24 days. How many days would Kavya take alone?
17. 17.Rohan works twice as fast as Isha. Together they finish a job in 9 days. How many days would Isha take alone?
18. 18.Meera and Saanvi together finish a job in 3 days. Meera alone takes 6 days. How many days would Saanvi take alone?
19. 19.Priya and Saanvi together finish a job in 2 days. Priya alone takes 4 days. How many days would Saanvi take alone?
20. 20.Sneha works three times as fast as Manav. Together they finish a job in 12 days. How many days would Manav take alone?
21. 21.Dev can finish a job in 4 days and Pooja in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
22. 22.Vivaan works three times as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?
23. 23.Ananya works three times as fast as Pooja. Together they finish a job in 5 days. How many days would Pooja take alone?
24. 24.Arjun works twice as fast as Diya. Together they finish a job in 5 days. How many days would Diya take alone?
25. 25.Kavya can finish a job in 10 days and Vivaan in 25 days. Kavya works alone for 4 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
26. 26.Saanvi can finish a job in 9 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. =
27. 27.Karan can finish a job in 16 days and Meera in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
28. 28.Aditya works twice as fast as Nisha. Together they finish a job in 11 days. How many days would Nisha take alone?
29. 29.Tara works twice as fast as Kabir. Together they finish a job in 8 days. How many days would Kabir take alone?
30. 30.Vivaan works twice as fast as Aarav. Together they finish a job in 10 days. How many days would Aarav take alone?
31. 31.Manav works twice as fast as Pooja. Together they finish a job in 7 days. How many days would Pooja take alone?
32. 32.Isha and Kabir together finish a job in 2 days. Isha alone takes 3 days. How many days would Kabir take alone?
33. 33.Ananya can finish a job in 3 days and Dev in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
34. 34.Arjun can finish a job in 11 days and Rahul in 16 days. What fraction of the job do they finish if they work together for 2 days? =
35. 35.Aarav can finish a job in 15 days and Priya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
36. 36.Priya and Manav together finish a job in 6 days. Priya alone takes 7 days. How many days would Manav take alone?
37. 37.Manav can finish a job in 20 days and Kabir in 28 days. Manav works alone for 15 days and then stops. Kabir finishes the rest. How many days does Kabir take?
38. 38.Pooja can finish a job in 7 days and Kavya in 18 days. What fraction of the job do they finish if they work together for 1 day? =
39. 39.Rohan and Tara together finish a job in 2 days. Rohan alone takes 3 days. How many days would Tara take alone?
40. 40.Kavya works three times as fast as Zoya. Together they finish a job in 10 days. How many days would Zoya take alone?

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