Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 166 · 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 18 days and Diya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
2. 2.Kavya can finish a job in 17 days and Ananya in 8 days. What fraction of the job do they finish if they work together for 2 days? =
3. 3.Nisha and Kavya together finish a job in 6 days. Nisha alone takes 7 days. How many days would Kavya take alone?
4. 4.Rahul and Aarav together finish a job in 3 days. Rahul alone takes 12 days. How many days would Aarav take alone?
5. 5.Arjun can finish a job in 9 days and Zoya in 7 days. What fraction of the job do they finish if they work together for 1 day? =
6. 6.Arjun and Saanvi together finish a job in 10 days. Arjun alone takes 12 days. How many days would Saanvi take alone?
7. 7.Meera can finish a job in 18 days and Rohan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
8. 8.Diya can finish a job in 8 days and Manav in 12 days. Diya works alone for 4 days and then stops. Manav finishes the rest. How many days does Manav take?
9. 9.Rahul works three times as fast as Aditya. Together they finish a job in 3 days. How many days would Aditya take alone?
10. 10.Farhan can finish a job in 11 days and Aditya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
11. 11.Ananya and Karan together finish a job in 2 days. Ananya alone takes 6 days. How many days would Karan take alone?
12. 12.Dev can finish a job in 6 days and Zoya in 12 days. Dev works alone for 3 days and then stops. Zoya finishes the rest. How many days does Zoya take?
13. 13.Diya can finish a job in 7 days and Aarav in 8 days. What fraction of the job do they finish if they work together for 1 day? =
14. 14.Meera works three times as fast as Arjun. Together they finish a job in 2 days. How many days would Arjun take alone?
15. 15.Ishaan can finish a job in 13 days and Ananya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
16. 16.Aarav can finish a job in 22 days and Manav in 28 days. Aarav works alone for 11 days and then stops. Manav finishes the rest. How many days does Manav take?
17. 17.Farhan works twice as fast as Meera. Together they finish a job in 8 days. How many days would Meera take alone?
18. 18.Ishaan and Arjun together finish a job in 4 days. Ishaan alone takes 12 days. How many days would Arjun take alone?
19. 19.Manav works three times as fast as Pooja. Together they finish a job in 11 days. How many days would Pooja take alone?
20. 20.Zoya works twice as fast as Farhan. Together they finish a job in 6 days. How many days would Farhan take alone?
21. 21.Arjun and Sneha together finish a job in 2 days. Arjun alone takes 3 days. How many days would Sneha take alone?
22. 22.Zoya can finish a job in 14 days and Kavya in 9 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 6 days and Saanvi in 12 days. Meera works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
24. 24.Aditya can finish a job in 5 days and Ananya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
25. 25.Priya works three times as fast as Ananya. Together they finish a job in 9 days. How many days would Ananya take alone?
26. 26.Aarav can finish a job in 19 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. =
27. 27.Ananya can finish a job in 8 days and Saanvi in 9 days. What fraction of the job do they finish if they work together for 1 day? =
28. 28.Diya can finish a job in 19 days and Nisha in 8 days. What fraction of the job do they finish if they work together for 3 days? =
29. 29.Kabir can finish a job in 19 days and Aarav in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
30. 30.Rahul can finish a job in 18 days and Tara in 20 days. What fraction of the job do they finish if they work together for 3 days? =
31. 31.Pooja can finish a job in 12 days and Ananya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
32. 32.Aarav works twice as fast as Meera. Together they finish a job in 5 days. How many days would Meera take alone?
33. 33.Isha works twice as fast as Priya. Together they finish a job in 7 days. How many days would Priya take alone?
34. 34.Aditya can finish a job in 10 days and Nisha in 17 days. What fraction of the job do they finish if they work together for 2 days? =
35. 35.Ananya works twice as fast as Rohan. Together they finish a job in 5 days. How many days would Rohan take alone?
36. 36.Rohan and Nisha together finish a job in 5 days. Rohan alone takes 10 days. How many days would Nisha take alone?
37. 37.Aditya and Isha together finish a job in 6 days. Aditya alone takes 8 days. How many days would Isha take alone?
38. 38.Diya can finish a job in 6 days and Manav in 12 days. Diya works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
39. 39.Dev 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. =
40. 40.Sneha can finish a job in 6 days and Rahul in 8 days. What fraction of the job do they finish if they work together for 3 days? =

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