Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 245 · 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.Pooja can finish a job in 7 days and Meera in 13 days. What fraction of the job do they finish if they work together for 1 day? =
2. 2.Rohan works twice as fast as Arjun. Together they finish a job in 7 days. How many days would Arjun take alone?
3. 3.Rahul works twice as fast as Nisha. Together they finish a job in 9 days. How many days would Nisha take alone?
4. 4.Pooja can finish a job in 8 days and Vivaan in 16 days. Pooja works alone for 6 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
5. 5.Nisha can finish a job in 8 days and Aditya in 4 days. Nisha works alone for 6 days and then stops. Aditya finishes the rest. How many days does Aditya take?
6. 6.Aditya works three times as fast as Farhan. Together they finish a job in 10 days. How many days would Farhan take alone?
7. 7.Ananya works three times as fast as Meera. Together they finish a job in 7 days. How many days would Meera take alone?
8. 8.Diya works twice as fast as Kavya. Together they finish a job in 11 days. How many days would Kavya take alone?
9. 9.Karan can finish a job in 4 days and Nisha in 12 days. Karan works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
10. 10.Vivaan can finish a job in 17 days and Diya in 20 days. What fraction of the job do they finish if they work together for 3 days? =
11. 11.Aarav and Sneha together finish a job in 6 days. Aarav alone takes 12 days. How many days would Sneha take alone?
12. 12.Kavya can finish a job in 11 days and Pooja in 12 days. What fraction of the job do they finish if they work together for 3 days? =
13. 13.Arjun can finish a job in 12 days and Priya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
14. 14.Meera works twice as fast as Kabir. Together they finish a job in 9 days. How many days would Kabir take alone?
15. 15.Saanvi works three times as fast as Isha. Together they finish a job in 4 days. How many days would Isha take alone?
16. 16.Ananya works three times as fast as Diya. Together they finish a job in 3 days. How many days would Diya take alone?
17. 17.Ishaan works twice as fast as Kabir. Together they finish a job in 7 days. How many days would Kabir take alone?
18. 18.Aarav can finish a job in 8 days and Isha in 24 days. Aarav works alone for 6 days and then stops. Isha finishes the rest. How many days does Isha take?
19. 19.Meera can finish a job in 12 days and Kabir in 24 days. Meera works alone for 5 days and then stops. Kabir finishes the rest. How many days does Kabir take?
20. 20.Rohan works three times as fast as Karan. Together they finish a job in 3 days. How many days would Karan take alone?
21. 21.Karan can finish a job in 6 days and Saanvi in 13 days. What fraction of the job do they finish if they work together for 2 days? =
22. 22.Rohan can finish a job in 17 days and Saanvi in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
23. 23.Meera can finish a job in 30 days and Arjun in 15 days. Meera works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
24. 24.Dev can finish a job in 10 days and Nisha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
25. 25.Kabir can finish a job in 4 days and Farhan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
26. 26.Meera and Vivaan together finish a job in 2 days. Meera alone takes 3 days. How many days would Vivaan take alone?
27. 27.Pooja and Karan together finish a job in 2 days. Pooja alone takes 3 days. How many days would Karan take alone?
28. 28.Ananya works three times as fast as Rohan. Together they finish a job in 4 days. How many days would Rohan take alone?
29. 29.Saanvi works twice as fast as Pooja. Together they finish a job in 6 days. How many days would Pooja take alone?
30. 30.Rohan can finish a job in 9 days and Tara in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
31. 31.Manav and Kabir together finish a job in 6 days. Manav alone takes 9 days. How many days would Kabir take alone?
32. 32.Meera can finish a job in 5 days and Zoya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
33. 33.Nisha works twice as fast as Pooja. Together they finish a job in 3 days. How many days would Pooja take alone?
34. 34.Dev can finish a job in 10 days and Vivaan in 12 days. What fraction of the job do they finish if they work together for 3 days? =
35. 35.Aditya and Dev together finish a job in 2 days. Aditya alone takes 4 days. How many days would Dev take alone?
36. 36.Arjun can finish a job in 16 days and Nisha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
37. 37.Saanvi can finish a job in 18 days and Isha in 4 days. What fraction of the job do they finish if they work together for 1 day? =
38. 38.Dev can finish a job in 16 days and Vivaan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
39. 39.Farhan works three times as fast as Ananya. Together they finish a job in 3 days. How many days would Ananya take alone?
40. 40.Zoya works twice as fast as Priya. Together they finish a job in 6 days. How many days would Priya take alone?

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