Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 153 · 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.Dev can finish a job in 4 days and Arjun in 24 days. Dev works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
2. 2.Zoya can finish a job in 5 days and Arjun in 14 days. What fraction of the job do they finish if they work together for 3 days? =
3. 3.Rohan can finish a job in 5 days and Tara in 10 days. What fraction of the job do they finish if they work together for 1 day? =
4. 4.Sneha can finish a job in 6 days and Isha in 4 days. What fraction of the job do they finish if they work together for 1 day? =
5. 5.Diya can finish a job in 15 days and Ananya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
6. 6.Manav can finish a job in 6 days and Sneha in 11 days. What fraction of the job do they finish if they work together for 3 days? =
7. 7.Arjun 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. =
8. 8.Rohan can finish a job in 11 days and Sneha in 22 days. Rohan works alone for 8 days and then stops. Sneha finishes the rest. How many days does Sneha take?
9. 9.Priya can finish a job in 9 days and Tara in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
10. 10.Kavya and Aditya together finish a job in 4 days. Kavya alone takes 8 days. How many days would Aditya take alone?
11. 11.Saanvi can finish a job in 9 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 3 days? =
12. 12.Rohan works three times as fast as Kavya. Together they finish a job in 7 days. How many days would Kavya take alone?
13. 13.Saanvi can finish a job in 19 days and Priya in 5 days. What fraction of the job do they finish if they work together for 3 days? =
14. 14.Meera can finish a job in 12 days and Rahul in 6 days. What fraction of the job do they finish if they work together for 3 days? =
15. 15.Kavya and Zoya together finish a job in 14 days. Kavya alone takes 18 days. How many days would Zoya take alone?
16. 16.Priya works twice as fast as Pooja. Together they finish a job in 4 days. How many days would Pooja take alone?
17. 17.Kavya works twice as fast as Rohan. Together they finish a job in 6 days. How many days would Rohan take alone?
18. 18.Zoya can finish a job in 18 days and Tara in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
19. 19.Zoya and Diya together finish a job in 2 days. Zoya alone takes 3 days. How many days would Diya take alone?
20. 20.Meera can finish a job in 16 days and Nisha in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
21. 21.Ishaan can finish a job in 25 days and Ananya in 15 days. Ishaan works alone for 20 days and then stops. Ananya finishes the rest. How many days does Ananya take?
22. 22.Vivaan works three times as fast as Tara. Together they finish a job in 12 days. How many days would Tara take alone?
23. 23.Saanvi can finish a job in 7 days and Kabir in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
24. 24.Saanvi works three times as fast as Aarav. Together they finish a job in 2 days. How many days would Aarav take alone?
25. 25.Meera and Kavya together finish a job in 8 days. Meera alone takes 10 days. How many days would Kavya take alone?
26. 26.Saanvi works twice as fast as Sneha. Together they finish a job in 3 days. How many days would Sneha take alone?
27. 27.Aditya works three times as fast as Saanvi. Together they finish a job in 10 days. How many days would Saanvi take alone?
28. 28.Diya and Ishaan together finish a job in 3 days. Diya alone takes 6 days. How many days would Ishaan take alone?
29. 29.Rahul can finish a job in 6 days and Ishaan in 24 days. Rahul works alone for 2 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
30. 30.Priya works three times as fast as Arjun. Together they finish a job in 4 days. How many days would Arjun take alone?
31. 31.Aditya works three times as fast as Isha. Together they finish a job in 3 days. How many days would Isha take alone?
32. 32.Farhan and Ishaan together finish a job in 6 days. Farhan alone takes 12 days. How many days would Ishaan take alone?
33. 33.Manav can finish a job in 10 days and Ananya in 9 days. What fraction of the job do they finish if they work together for 3 days? =
34. 34.Meera and Nisha together finish a job in 3 days. Meera alone takes 6 days. How many days would Nisha take alone?
35. 35.Tara can finish a job in 6 days and Vivaan in 27 days. Tara works alone for 4 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
36. 36.Zoya can finish a job in 18 days and Diya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
37. 37.Rahul and Aarav together finish a job in 5 days. Rahul alone takes 6 days. How many days would Aarav take alone?
38. 38.Arjun and Kavya together finish a job in 4 days. Arjun alone takes 5 days. How many days would Kavya take alone?
39. 39.Kabir and Manav together finish a job in 12 days. Kabir alone takes 14 days. How many days would Manav take alone?
40. 40.Isha can finish a job in 15 days and Meera in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

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