Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 220 · 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.Kabir and Vivaan together finish a job in 6 days. Kabir alone takes 8 days. How many days would Vivaan take alone?
2. 2.Aditya can finish a job in 6 days and Ishaan in 12 days. Aditya works alone for 4 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
3. 3.Arjun can finish a job in 13 days and Aarav in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
4. 4.Farhan can finish a job in 9 days and Diya in 8 days. What fraction of the job do they finish if they work together for 2 days? =
5. 5.Meera can finish a job in 9 days and Sneha in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
6. 6.Ishaan works twice as fast as Rahul. Together they finish a job in 7 days. How many days would Rahul take alone?
7. 7.Isha can finish a job in 5 days and Aarav in 25 days. Isha works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
8. 8.Saanvi can finish a job in 7 days and Rahul in 9 days. What fraction of the job do they finish if they work together for 3 days? =
9. 9.Nisha can finish a job in 7 days and Kavya in 21 days. Nisha works alone for 1 day and then stops. Kavya finishes the rest. How many days does Kavya take?
10. 10.Rahul can finish a job in 5 days and Saanvi in 15 days. What fraction of the job do they finish if they work together for 2 days? =
11. 11.Saanvi works three times as fast as Pooja. Together they finish a job in 3 days. How many days would Pooja take alone?
12. 12.Pooja can finish a job in 20 days and Sneha in 10 days. Pooja works alone for 12 days and then stops. Sneha finishes the rest. How many days does Sneha take?
13. 13.Meera can finish a job in 4 days and Tara in 20 days. What fraction of the job do they finish if they work together for 1 day? =
14. 14.Diya works three times as fast as Kavya. Together they finish a job in 10 days. How many days would Kavya take alone?
15. 15.Rohan can finish a job in 4 days and Kavya in 13 days. What fraction of the job do they finish if they work together for 1 day? =
16. 16.Diya works three times as fast as Dev. Together they finish a job in 12 days. How many days would Dev take alone?
17. 17.Rohan and Diya together finish a job in 3 days. Rohan alone takes 4 days. How many days would Diya take alone?
18. 18.Dev can finish a job in 13 days and Meera in 6 days. What fraction of the job do they finish if they work together for 1 day? =
19. 19.Saanvi and Ishaan together finish a job in 2 days. Saanvi alone takes 3 days. How many days would Ishaan take alone?
20. 20.Priya can finish a job in 19 days and Kabir in 12 days. What fraction of the job do they finish if they work together for 2 days? =
21. 21.Rohan and Vivaan together finish a job in 5 days. Rohan alone takes 10 days. How many days would Vivaan take alone?
22. 22.Diya works twice as fast as Ananya. Together they finish a job in 4 days. How many days would Ananya take alone?
23. 23.Tara and Manav together finish a job in 12 days. Tara alone takes 15 days. How many days would Manav take alone?
24. 24.Meera can finish a job in 15 days and Rahul in 10 days. Meera works alone for 9 days and then stops. Rahul finishes the rest. How many days does Rahul take?
25. 25.Kavya can finish a job in 8 days and Aditya in 7 days. What fraction of the job do they finish if they work together for 2 days? =
26. 26.Zoya can finish a job in 18 days and Ishaan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
27. 27.Aditya can finish a job in 13 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. =
28. 28.Tara works twice as fast as Karan. Together they finish a job in 2 days. How many days would Karan take alone?
29. 29.Arjun and Karan together finish a job in 2 days. Arjun alone takes 4 days. How many days would Karan take alone?
30. 30.Rohan and Meera together finish a job in 3 days. Rohan alone takes 6 days. How many days would Meera take alone?
31. 31.Rohan and Vivaan together finish a job in 10 days. Rohan alone takes 12 days. How many days would Vivaan take alone?
32. 32.Kavya works twice as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?
33. 33.Ishaan and Aarav together finish a job in 7 days. Ishaan alone takes 8 days. How many days would Aarav take alone?
34. 34.Tara and Rohan together finish a job in 6 days. Tara alone takes 10 days. How many days would Rohan take alone?
35. 35.Kavya works three times as fast as Priya. Together they finish a job in 11 days. How many days would Priya take alone?
36. 36.Rahul can finish a job in 20 days and Vivaan in 28 days. Rahul works alone for 15 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
37. 37.Tara and Rahul together finish a job in 2 days. Tara alone takes 4 days. How many days would Rahul take alone?
38. 38.Kavya and Meera together finish a job in 2 days. Kavya alone takes 3 days. How many days would Meera take alone?
39. 39.Karan and Aarav together finish a job in 2 days. Karan alone takes 4 days. How many days would Aarav take alone?
40. 40.Rahul can finish a job in 11 days and Aditya in 22 days. Rahul works alone for 3 days and then stops. Aditya finishes the rest. How many days does Aditya take?

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