Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 338 · 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.Aarav and Ishaan together finish a job in 6 days. Aarav alone takes 7 days. How many days would Ishaan take alone?
2. 2.Rohan can finish a job in 4 days and Priya in 28 days. Rohan works alone for 3 days and then stops. Priya finishes the rest. How many days does Priya take?
3. 3.Pooja works twice as fast as Priya. Together they finish a job in 5 days. How many days would Priya take alone?
4. 4.Sneha can finish a job in 10 days and Tara in 15 days. Sneha works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
5. 5.Sneha can finish a job in 21 days and Farhan in 14 days. Sneha works alone for 18 days and then stops. Farhan finishes the rest. How many days does Farhan take?
6. 6.Zoya can finish a job in 7 days and Rohan in 14 days. Zoya works alone for 5 days and then stops. Rohan finishes the rest. How many days does Rohan take?
7. 7.Aditya and Zoya together finish a job in 7 days. Aditya alone takes 14 days. How many days would Zoya take alone?
8. 8.Arjun can finish a job in 7 days and Tara in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
9. 9.Zoya can finish a job in 30 days and Kabir in 12 days. Zoya works alone for 25 days and then stops. Kabir finishes the rest. How many days does Kabir take?
10. 10.Kavya can finish a job in 11 days and Ishaan in 13 days. What fraction of the job do they finish if they work together for 3 days? =
11. 11.Manav works three times as fast as Dev. Together they finish a job in 12 days. How many days would Dev take alone?
12. 12.Dev and Arjun together finish a job in 6 days. Dev alone takes 12 days. How many days would Arjun take alone?
13. 13.Aarav and Isha together finish a job in 2 days. Aarav alone takes 3 days. How many days would Isha take alone?
14. 14.Rohan and Ananya together finish a job in 11 days. Rohan alone takes 22 days. How many days would Ananya take alone?
15. 15.Tara works twice as fast as Priya. Together they finish a job in 2 days. How many days would Priya take alone?
16. 16.Karan can finish a job in 13 days and Kavya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
17. 17.Ishaan and Zoya together finish a job in 4 days. Ishaan alone takes 5 days. How many days would Zoya take alone?
18. 18.Meera works twice as fast as Kavya. Together they finish a job in 10 days. How many days would Kavya take alone?
19. 19.Ananya can finish a job in 9 days and Rahul in 5 days. What fraction of the job do they finish if they work together for 1 day? =
20. 20.Meera works three times as fast as Diya. Together they finish a job in 12 days. How many days would Diya take alone?
21. 21.Farhan and Vivaan together finish a job in 12 days. Farhan alone takes 18 days. How many days would Vivaan take alone?
22. 22.Dev and Rohan together finish a job in 2 days. Dev alone takes 4 days. How many days would Rohan take alone?
23. 23.Manav works twice as fast as Meera. Together they finish a job in 6 days. How many days would Meera take alone?
24. 24.Zoya and Diya together finish a job in 10 days. Zoya alone takes 12 days. How many days would Diya take alone?
25. 25.Kabir works twice as fast as Arjun. Together they finish a job in 10 days. How many days would Arjun take alone?
26. 26.Zoya works twice as fast as Sneha. Together they finish a job in 3 days. How many days would Sneha take alone?
27. 27.Manav can finish a job in 24 days and Vivaan in 12 days. Manav works alone for 20 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
28. 28.Sneha can finish a job in 6 days and Ananya in 16 days. What fraction of the job do they finish if they work together for 1 day? =
29. 29.Pooja and Rohan together finish a job in 8 days. Pooja alone takes 10 days. How many days would Rohan take alone?
30. 30.Dev can finish a job in 6 days and Ananya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
31. 31.Ishaan can finish a job in 17 days and Isha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
32. 32.Rohan can finish a job in 13 days and Ananya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
33. 33.Rohan can finish a job in 2 days and Meera in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
34. 34.Tara works twice as fast as Ananya. Together they finish a job in 3 days. How many days would Ananya take alone?
35. 35.Tara can finish a job in 5 days and Ananya in 10 days. Tara works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
36. 36.Nisha and Ananya together finish a job in 2 days. Nisha alone takes 6 days. How many days would Ananya take alone?
37. 37.Saanvi and Tara together finish a job in 9 days. Saanvi alone takes 10 days. How many days would Tara take alone?
38. 38.Priya can finish a job in 5 days and Zoya in 30 days. Priya works alone for 4 days and then stops. Zoya finishes the rest. How many days does Zoya take?
39. 39.Aarav works twice as fast as Manav. Together they finish a job in 4 days. How many days would Manav take alone?
40. 40.Ananya can finish a job in 4 days and Manav in 30 days. Ananya works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?

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