Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 368 · 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 three times as fast as Vivaan. Together they finish a job in 12 days. How many days would Vivaan take alone?
2. 2.Isha can finish a job in 13 days and Meera in 10 days. What fraction of the job do they finish if they work together for 3 days? =
3. 3.Aditya works three times as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?
4. 4.Dev works twice as fast as Rohan. Together they finish a job in 12 days. How many days would Rohan take alone?
5. 5.Aarav can finish a job in 22 days and Kabir in 11 days. Aarav works alone for 10 days and then stops. Kabir finishes the rest. How many days does Kabir take?
6. 6.Rohan can finish a job in 14 days and Diya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
7. 7.Meera and Diya together finish a job in 2 days. Meera alone takes 3 days. How many days would Diya take alone?
8. 8.Saanvi and Zoya together finish a job in 5 days. Saanvi alone takes 6 days. How many days would Zoya take alone?
9. 9.Zoya can finish a job in 18 days and Manav in 12 days. Zoya works alone for 3 days and then stops. Manav finishes the rest. How many days does Manav take?
10. 10.Meera can finish a job in 12 days and Dev in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
11. 11.Meera and Kavya together finish a job in 2 days. Meera alone takes 3 days. How many days would Kavya take alone?
12. 12.Ananya can finish a job in 6 days and Tara in 15 days. Ananya works alone for 2 days and then stops. Tara finishes the rest. How many days does Tara take?
13. 13.Vivaan works twice as fast as Dev. Together they finish a job in 4 days. How many days would Dev take alone?
14. 14.Diya can finish a job in 5 days and Sneha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
15. 15.Tara can finish a job in 5 days and Karan in 25 days. Tara works alone for 4 days and then stops. Karan finishes the rest. How many days does Karan take?
16. 16.Aarav can finish a job in 30 days and Meera in 24 days. Aarav works alone for 25 days and then stops. Meera finishes the rest. How many days does Meera take?
17. 17.Aditya can finish a job in 4 days and Saanvi in 14 days. What fraction of the job do they finish if they work together for 3 days? =
18. 18.Kabir and Zoya together finish a job in 4 days. Kabir alone takes 12 days. How many days would Zoya take alone?
19. 19.Sneha works twice as fast as Manav. Together they finish a job in 12 days. How many days would Manav take alone?
20. 20.Kavya works twice as fast as Saanvi. Together they finish a job in 10 days. How many days would Saanvi take alone?
21. 21.Isha can finish a job in 10 days and Dev in 19 days. What fraction of the job do they finish if they work together for 2 days? =
22. 22.Kavya works twice as fast as Arjun. Together they finish a job in 3 days. How many days would Arjun take alone?
23. 23.Kabir works three times as fast as Zoya. Together they finish a job in 9 days. How many days would Zoya take alone?
24. 24.Diya works three times as fast as Saanvi. Together they finish a job in 9 days. How many days would Saanvi take alone?
25. 25.Isha can finish a job in 16 days and Kabir in 15 days. What fraction of the job do they finish if they work together for 1 day? =
26. 26.Pooja can finish a job in 3 days and Kabir in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
27. 27.Saanvi can finish a job in 9 days and Manav in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
28. 28.Nisha can finish a job in 19 days and Kabir in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
29. 29.Saanvi can finish a job in 5 days and Isha in 10 days. Saanvi works alone for 2 days and then stops. Isha finishes the rest. How many days does Isha take?
30. 30.Ananya can finish a job in 19 days and Vivaan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
31. 31.Meera can finish a job in 6 days and Karan in 4 days. What fraction of the job do they finish if they work together for 2 days? =
32. 32.Sneha and Zoya together finish a job in 7 days. Sneha alone takes 14 days. How many days would Zoya take alone?
33. 33.Isha works twice as fast as Rohan. Together they finish a job in 4 days. How many days would Rohan take alone?
34. 34.Ananya and Aditya together finish a job in 15 days. Ananya alone takes 20 days. How many days would Aditya take alone?
35. 35.Farhan can finish a job in 12 days and Nisha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
36. 36.Tara can finish a job in 20 days and Farhan in 6 days. What fraction of the job do they finish if they work together for 2 days? =
37. 37.Meera can finish a job in 5 days and Rohan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
38. 38.Ishaan can finish a job in 18 days and Diya in 22 days. Ishaan works alone for 9 days and then stops. Diya finishes the rest. How many days does Diya take?
39. 39.Kabir and Arjun together finish a job in 3 days. Kabir alone takes 6 days. How many days would Arjun take alone?
40. 40.Kabir can finish a job in 6 days and Ananya in 24 days. Kabir works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?

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