Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 241 · 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.Rahul works twice as fast as Ananya. Together they finish a job in 12 days. How many days would Ananya take alone?
2. 2.Ishaan works three times as fast as Karan. Together they finish a job in 10 days. How many days would Karan take alone?
3. 3.Saanvi and Rohan together finish a job in 5 days. Saanvi alone takes 6 days. How many days would Rohan take alone?
4. 4.Kabir can finish a job in 18 days and Nisha in 27 days. Kabir works alone for 16 days and then stops. Nisha finishes the rest. How many days does Nisha take?
5. 5.Nisha works twice as fast as Zoya. Together they finish a job in 4 days. How many days would Zoya take alone?
6. 6.Sneha can finish a job in 8 days and Karan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
7. 7.Dev can finish a job in 10 days and Rahul in 17 days. What fraction of the job do they finish if they work together for 1 day? =
8. 8.Ishaan can finish a job in 12 days and Rohan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
9. 9.Arjun and Tara together finish a job in 5 days. Arjun alone takes 6 days. How many days would Tara take alone?
10. 10.Diya can finish a job in 9 days and Vivaan in 19 days. What fraction of the job do they finish if they work together for 3 days? =
11. 11.Tara can finish a job in 6 days and Arjun in 13 days. What fraction of the job do they finish if they work together for 1 day? =
12. 12.Aarav can finish a job in 11 days and Saanvi in 6 days. What fraction of the job do they finish if they work together for 3 days? =
13. 13.Aarav works twice as fast as Rahul. Together they finish a job in 5 days. How many days would Rahul take alone?
14. 14.Isha can finish a job in 4 days and Aarav in 6 days. Isha works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
15. 15.Kabir can finish a job in 4 days and Aditya in 28 days. Kabir works alone for 3 days and then stops. Aditya finishes the rest. How many days does Aditya take?
16. 16.Meera can finish a job in 2 days and Aditya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
17. 17.Vivaan and Kavya together finish a job in 4 days. Vivaan alone takes 20 days. How many days would Kavya take alone?
18. 18.Sneha can finish a job in 20 days and Meera in 25 days. Sneha works alone for 8 days and then stops. Meera finishes the rest. How many days does Meera take?
19. 19.Rahul can finish a job in 10 days and Farhan in 13 days. What fraction of the job do they finish if they work together for 2 days? =
20. 20.Rahul can finish a job in 7 days and Manav in 14 days. Rahul works alone for 4 days and then stops. Manav finishes the rest. How many days does Manav take?
21. 21.Diya and Arjun together finish a job in 2 days. Diya alone takes 4 days. How many days would Arjun take alone?
22. 22.Rohan and Kabir together finish a job in 5 days. Rohan alone takes 10 days. How many days would Kabir take alone?
23. 23.Rahul can finish a job in 10 days and Ishaan in 5 days. Rahul works alone for 4 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
24. 24.Farhan can finish a job in 17 days and Kabir in 7 days. What fraction of the job do they finish if they work together for 1 day? =
25. 25.Pooja and Kavya together finish a job in 5 days. Pooja alone takes 6 days. How many days would Kavya take alone?
26. 26.Zoya works three times as fast as Pooja. Together they finish a job in 5 days. How many days would Pooja take alone?
27. 27.Kavya works three times as fast as Kabir. Together they finish a job in 2 days. How many days would Kabir take alone?
28. 28.Kavya can finish a job in 6 days and Tara in 30 days. Kavya works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
29. 29.Saanvi can finish a job in 17 days and Kabir in 16 days. What fraction of the job do they finish if they work together for 3 days? =
30. 30.Pooja and Meera together finish a job in 4 days. Pooja alone takes 5 days. How many days would Meera take alone?
31. 31.Sneha can finish a job in 22 days and Rahul in 11 days. Sneha works alone for 18 days and then stops. Rahul finishes the rest. How many days does Rahul take?
32. 32.Tara can finish a job in 7 days and Arjun in 8 days. What fraction of the job do they finish if they work together for 3 days? =
33. 33.Vivaan and Saanvi together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Saanvi take alone?
34. 34.Diya works twice as fast as Rohan. Together they finish a job in 12 days. How many days would Rohan take alone?
35. 35.Ishaan can finish a job in 7 days and Rohan in 15 days. What fraction of the job do they finish if they work together for 1 day? =
36. 36.Isha and Aarav together finish a job in 2 days. Isha alone takes 6 days. How many days would Aarav take alone?
37. 37.Ananya works three times as fast as Zoya. Together they finish a job in 9 days. How many days would Zoya take alone?
38. 38.Isha can finish a job in 7 days and Aditya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
39. 39.Kabir and Saanvi together finish a job in 2 days. Kabir alone takes 3 days. How many days would Saanvi take alone?
40. 40.Kavya works three times as fast as Arjun. Together they finish a job in 6 days. How many days would Arjun take alone?

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