Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 71 · 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.Rohan and Ishaan together finish a job in 12 days. Rohan alone takes 24 days. How many days would Ishaan take alone?
2. 2.Diya can finish a job in 18 days and Saanvi in 11 days. What fraction of the job do they finish if they work together for 1 day? =
3. 3.Priya can finish a job in 2 days and Kavya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
4. 4.Saanvi can finish a job in 7 days and Sneha in 6 days. What fraction of the job do they finish if they work together for 2 days? =
5. 5.Diya works three times as fast as Pooja. Together they finish a job in 3 days. How many days would Pooja take alone?
6. 6.Diya and Kabir together finish a job in 12 days. Diya alone takes 21 days. How many days would Kabir take alone?
7. 7.Dev can finish a job in 7 days and Kavya in 14 days. Dev works alone for 5 days and then stops. Kavya finishes the rest. How many days does Kavya take?
8. 8.Meera works twice as fast as Diya. Together they finish a job in 12 days. How many days would Diya take alone?
9. 9.Pooja can finish a job in 19 days and Kabir in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
10. 10.Meera can finish a job in 21 days and Karan in 14 days. Meera works alone for 9 days and then stops. Karan finishes the rest. How many days does Karan take?
11. 11.Pooja works three times as fast as Saanvi. Together they finish a job in 11 days. How many days would Saanvi take alone?
12. 12.Diya can finish a job in 3 days and Manav in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
13. 13.Isha and Meera together finish a job in 3 days. Isha alone takes 4 days. How many days would Meera take alone?
14. 14.Arjun and Kabir together finish a job in 6 days. Arjun alone takes 7 days. How many days would Kabir take alone?
15. 15.Karan can finish a job in 15 days and Kabir in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
16. 16.Diya works twice as fast as Isha. Together they finish a job in 9 days. How many days would Isha take alone?
17. 17.Rahul can finish a job in 9 days and Nisha in 18 days. Rahul works alone for 1 day and then stops. Nisha finishes the rest. How many days does Nisha take?
18. 18.Ishaan can finish a job in 17 days and Zoya in 13 days. What fraction of the job do they finish if they work together for 2 days? =
19. 19.Saanvi can finish a job in 17 days and Karan in 13 days. What fraction of the job do they finish if they work together for 1 day? =
20. 20.Kabir can finish a job in 6 days and Zoya in 18 days. Kabir works alone for 1 day and then stops. Zoya finishes the rest. How many days does Zoya take?
21. 21.Ishaan can finish a job in 7 days and Ananya in 21 days. Ishaan works alone for 5 days and then stops. Ananya finishes the rest. How many days does Ananya take?
22. 22.Ananya can finish a job in 8 days and Vivaan in 28 days. Ananya works alone for 2 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
23. 23.Karan works twice as fast as Saanvi. Together they finish a job in 7 days. How many days would Saanvi take alone?
24. 24.Zoya works twice as fast as Tara. Together they finish a job in 12 days. How many days would Tara take alone?
25. 25.Diya can finish a job in 14 days and Ananya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
26. 26.Manav works twice as fast as Aditya. Together they finish a job in 5 days. How many days would Aditya take alone?
27. 27.Farhan can finish a job in 12 days and Pooja in 27 days. Farhan works alone for 8 days and then stops. Pooja finishes the rest. How many days does Pooja take?
28. 28.Kavya can finish a job in 15 days and Saanvi in 6 days. What fraction of the job do they finish if they work together for 2 days? =
29. 29.Nisha and Arjun together finish a job in 4 days. Nisha alone takes 8 days. How many days would Arjun take alone?
30. 30.Rohan works twice as fast as Rahul. Together they finish a job in 7 days. How many days would Rahul take alone?
31. 31.Karan can finish a job in 6 days and Priya in 10 days. What fraction of the job do they finish if they work together for 2 days? =
32. 32.Kabir and Vivaan together finish a job in 8 days. Kabir alone takes 12 days. How many days would Vivaan take alone?
33. 33.Kavya can finish a job in 4 days and Aarav in 20 days. Kavya works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
34. 34.Saanvi can finish a job in 18 days and Arjun in 7 days. What fraction of the job do they finish if they work together for 2 days? =
35. 35.Diya can finish a job in 12 days and Nisha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
36. 36.Aarav and Sneha together finish a job in 7 days. Aarav alone takes 14 days. How many days would Sneha take alone?
37. 37.Aarav works three times as fast as Rahul. Together they finish a job in 11 days. How many days would Rahul take alone?
38. 38.Diya can finish a job in 13 days and Arjun in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
39. 39.Zoya works three times as fast as Karan. Together they finish a job in 4 days. How many days would Karan take alone?
40. 40.Ananya works twice as fast as Kabir. Together they finish a job in 6 days. How many days would Kabir take alone?

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