Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 201 · 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.Kavya works three times as fast as Tara. Together they finish a job in 12 days. How many days would Tara take alone?
2. 2.Pooja can finish a job in 10 days and Karan in 7 days. What fraction of the job do they finish if they work together for 3 days? =
3. 3.Ananya can finish a job in 6 days and Isha in 8 days. What fraction of the job do they finish if they work together for 3 days? =
4. 4.Diya works three times as fast as Zoya. Together they finish a job in 10 days. How many days would Zoya take alone?
5. 5.Aditya can finish a job in 30 days and Kabir in 5 days. Aditya works alone for 24 days and then stops. Kabir finishes the rest. How many days does Kabir take?
6. 6.Isha can finish a job in 22 days and Ananya in 6 days. Isha works alone for 11 days and then stops. Ananya finishes the rest. How many days does Ananya take?
7. 7.Arjun works twice as fast as Pooja. Together they finish a job in 5 days. How many days would Pooja take alone?
8. 8.Diya can finish a job in 5 days and Manav in 20 days. Diya works alone for 3 days and then stops. Manav finishes the rest. How many days does Manav take?
9. 9.Priya and Karan together finish a job in 8 days. Priya alone takes 12 days. How many days would Karan take alone?
10. 10.Nisha can finish a job in 19 days and Ishaan in 10 days. What fraction of the job do they finish if they work together for 2 days? =
11. 11.Tara can finish a job in 10 days and Kabir in 15 days. What fraction of the job do they finish if they work together for 3 days? =
12. 12.Saanvi can finish a job in 12 days and Nisha in 13 days. What fraction of the job do they finish if they work together for 1 day? =
13. 13.Diya works three times as fast as Sneha. Together they finish a job in 12 days. How many days would Sneha take alone?
14. 14.Ishaan works twice as fast as Vivaan. Together they finish a job in 12 days. How many days would Vivaan take alone?
15. 15.Manav can finish a job in 24 days and Rohan in 21 days. Manav works alone for 16 days and then stops. Rohan finishes the rest. How many days does Rohan take?
16. 16.Karan and Vivaan together finish a job in 3 days. Karan alone takes 12 days. How many days would Vivaan take alone?
17. 17.Isha and Kabir together finish a job in 3 days. Isha alone takes 4 days. How many days would Kabir take alone?
18. 18.Sneha works twice as fast as Priya. Together they finish a job in 11 days. How many days would Priya take alone?
19. 19.Rahul and Ishaan together finish a job in 16 days. Rahul alone takes 20 days. How many days would Ishaan take alone?
20. 20.Ananya works twice as fast as Isha. Together they finish a job in 4 days. How many days would Isha take alone?
21. 21.Tara can finish a job in 6 days and Farhan in 10 days. What fraction of the job do they finish if they work together for 3 days? =
22. 22.Tara can finish a job in 18 days and Rahul in 30 days. Tara works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
23. 23.Rahul can finish a job in 5 days and Vivaan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
24. 24.Nisha can finish a job in 11 days and Rahul in 6 days. What fraction of the job do they finish if they work together for 1 day? =
25. 25.Kabir and Kavya together finish a job in 6 days. Kabir alone takes 9 days. How many days would Kavya take alone?
26. 26.Meera works three times as fast as Priya. Together they finish a job in 10 days. How many days would Priya take alone?
27. 27.Rahul and Sneha together finish a job in 8 days. Rahul alone takes 9 days. How many days would Sneha take alone?
28. 28.Arjun can finish a job in 5 days and Diya in 14 days. What fraction of the job do they finish if they work together for 2 days? =
29. 29.Saanvi can finish a job in 4 days and Ananya in 16 days. Saanvi works alone for 1 day and then stops. Ananya finishes the rest. How many days does Ananya take?
30. 30.Farhan and Rahul together finish a job in 6 days. Farhan alone takes 15 days. How many days would Rahul take alone?
31. 31.Ananya can finish a job in 17 days and Nisha in 15 days. What fraction of the job do they finish if they work together for 3 days? =
32. 32.Arjun and Karan together finish a job in 2 days. Arjun alone takes 3 days. How many days would Karan take alone?
33. 33.Saanvi can finish a job in 4 days and Nisha in 8 days. Saanvi works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
34. 34.Farhan can finish a job in 16 days and Ishaan in 13 days. What fraction of the job do they finish if they work together for 2 days? =
35. 35.Diya can finish a job in 24 days and Saanvi in 30 days. Diya works alone for 4 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
36. 36.Kabir can finish a job in 8 days and Vivaan in 30 days. Kabir works alone for 4 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
37. 37.Saanvi can finish a job in 9 days and Ananya in 27 days. Saanvi works alone for 8 days and then stops. Ananya finishes the rest. How many days does Ananya take?
38. 38.Manav can finish a job in 17 days and Rahul in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
39. 39.Arjun can finish a job in 4 days and Rahul in 26 days. Arjun works alone for 2 days and then stops. Rahul finishes the rest. How many days does Rahul take?
40. 40.Diya works three times as fast as Rahul. Together they finish a job in 11 days. How many days would Rahul take alone?

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