Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 414 · 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 12 days and Ishaan in 9 days. Aditya works alone for 4 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
2. 2.Rohan works twice as fast as Arjun. Together they finish a job in 3 days. How many days would Arjun take alone?
3. 3.Ishaan can finish a job in 5 days and Farhan in 4 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 11 days and Sneha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
5. 5.Ishaan can finish a job in 14 days and Tara in 4 days. What fraction of the job do they finish if they work together for 1 day? =
6. 6.Aarav and Rahul together finish a job in 15 days. Aarav alone takes 20 days. How many days would Rahul take alone?
7. 7.Saanvi works twice as fast as Aditya. Together they finish a job in 2 days. How many days would Aditya take alone?
8. 8.Meera works twice as fast as Priya. Together they finish a job in 3 days. How many days would Priya take alone?
9. 9.Meera can finish a job in 13 days and Tara in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
10. 10.Farhan can finish a job in 7 days and Rahul in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
11. 11.Manav can finish a job in 16 days and Priya in 13 days. What fraction of the job do they finish if they work together for 3 days? =
12. 12.Zoya works three times as fast as Ishaan. Together they finish a job in 10 days. How many days would Ishaan take alone?
13. 13.Diya and Zoya together finish a job in 12 days. Diya alone takes 24 days. How many days would Zoya take alone?
14. 14.Manav works twice as fast as Rohan. Together they finish a job in 4 days. How many days would Rohan take alone?
15. 15.Isha can finish a job in 3 days and Diya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
16. 16.Dev can finish a job in 9 days and Karan in 17 days. What fraction of the job do they finish if they work together for 3 days? =
17. 17.Tara can finish a job in 5 days and Arjun in 15 days. Tara works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?
18. 18.Aarav can finish a job in 5 days and Vivaan in 15 days. Aarav works alone for 3 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
19. 19.Zoya and Rohan together finish a job in 5 days. Zoya alone takes 6 days. How many days would Rohan take alone?
20. 20.Pooja can finish a job in 19 days and Zoya in 10 days. What fraction of the job do they finish if they work together for 1 day? =
21. 21.Sneha works three times as fast as Aarav. Together they finish a job in 10 days. How many days would Aarav take alone?
22. 22.Kabir can finish a job in 20 days and Rahul in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
23. 23.Kabir works three times as fast as Pooja. Together they finish a job in 3 days. How many days would Pooja take alone?
24. 24.Pooja and Sneha together finish a job in 5 days. Pooja alone takes 6 days. How many days would Sneha take alone?
25. 25.Pooja can finish a job in 7 days and Aditya in 28 days. Pooja works alone for 2 days and then stops. Aditya finishes the rest. How many days does Aditya take?
26. 26.Karan and Vivaan together finish a job in 14 days. Karan alone takes 18 days. How many days would Vivaan take alone?
27. 27.Aarav works twice as fast as Kabir. Together they finish a job in 11 days. How many days would Kabir take alone?
28. 28.Kabir and Saanvi together finish a job in 21 days. Kabir alone takes 28 days. How many days would Saanvi take alone?
29. 29.Aditya works twice as fast as Pooja. Together they finish a job in 9 days. How many days would Pooja take alone?
30. 30.Farhan works twice as fast as Kavya. Together they finish a job in 8 days. How many days would Kavya take alone?
31. 31.Sneha can finish a job in 8 days and Arjun in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
32. 32.Manav works three times as fast as Kabir. Together they finish a job in 3 days. How many days would Kabir take alone?
33. 33.Vivaan works twice as fast as Dev. Together they finish a job in 7 days. How many days would Dev take alone?
34. 34.Isha and Arjun together finish a job in 6 days. Isha alone takes 10 days. How many days would Arjun take alone?
35. 35.Sneha works twice as fast as Rahul. Together they finish a job in 7 days. How many days would Rahul take alone?
36. 36.Nisha and Ananya together finish a job in 5 days. Nisha alone takes 6 days. How many days would Ananya take alone?
37. 37.Rohan and Diya together finish a job in 2 days. Rohan alone takes 6 days. How many days would Diya take alone?
38. 38.Rahul can finish a job in 10 days and Pooja in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
39. 39.Priya and Karan together finish a job in 3 days. Priya alone takes 6 days. How many days would Karan take alone?
40. 40.Kabir works three times as fast as Karan. Together they finish a job in 5 days. How many days would Karan take alone?

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