Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 456 · 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.Ananya can finish a job in 9 days and Rahul 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 11 days and Zoya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
3. 3.Rohan can finish a job in 9 days and Isha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
4. 4.Rohan works three times as fast as Meera. Together they finish a job in 12 days. How many days would Meera take alone?
5. 5.Ishaan and Dev together finish a job in 4 days. Ishaan alone takes 6 days. How many days would Dev take alone?
6. 6.Dev works three times as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
7. 7.Kavya can finish a job in 15 days and Ananya in 6 days. Kavya works alone for 10 days and then stops. Ananya finishes the rest. How many days does Ananya take?
8. 8.Isha can finish a job in 7 days and Meera in 28 days. Isha works alone for 1 day and then stops. Meera finishes the rest. How many days does Meera take?
9. 9.Rohan can finish a job in 9 days and Arjun in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
10. 10.Rohan can finish a job in 6 days and Diya in 12 days. What fraction of the job do they finish if they work together for 2 days? =
11. 11.Diya can finish a job in 16 days and Aditya in 19 days. What fraction of the job do they finish if they work together for 2 days? =
12. 12.Meera can finish a job in 13 days and Kavya in 12 days. What fraction of the job do they finish if they work together for 1 day? =
13. 13.Ishaan and Kavya together finish a job in 4 days. Ishaan alone takes 5 days. How many days would Kavya take alone?
14. 14.Kavya can finish a job in 8 days and Saanvi in 13 days. What fraction of the job do they finish if they work together for 2 days? =
15. 15.Ishaan works twice as fast as Rahul. Together they finish a job in 6 days. How many days would Rahul take alone?
16. 16.Diya works twice as fast as Ishaan. Together they finish a job in 10 days. How many days would Ishaan take alone?
17. 17.Zoya and Karan together finish a job in 2 days. Zoya alone takes 3 days. How many days would Karan take alone?
18. 18.Zoya works twice as fast as Tara. Together they finish a job in 10 days. How many days would Tara take alone?
19. 19.Zoya works three times as fast as Ishaan. Together they finish a job in 5 days. How many days would Ishaan take alone?
20. 20.Farhan can finish a job in 12 days and Manav in 24 days. Farhan works alone for 9 days and then stops. Manav finishes the rest. How many days does Manav take?
21. 21.Diya can finish a job in 9 days and Arjun in 11 days. What fraction of the job do they finish if they work together for 1 day? =
22. 22.Arjun can finish a job in 6 days and Kavya in 5 days. What fraction of the job do they finish if they work together for 2 days? =
23. 23.Ananya works twice as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
24. 24.Manav can finish a job in 18 days and Aarav in 16 days. What fraction of the job do they finish if they work together for 1 day? =
25. 25.Diya can finish a job in 6 days and Rohan in 18 days. Diya works alone for 4 days and then stops. Rohan finishes the rest. How many days does Rohan take?
26. 26.Meera can finish a job in 10 days and Kavya in 5 days. Meera works alone for 6 days and then stops. Kavya finishes the rest. How many days does Kavya take?
27. 27.Priya works twice as fast as Tara. Together they finish a job in 3 days. How many days would Tara take alone?
28. 28.Karan works twice as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
29. 29.Karan can finish a job in 20 days and Ishaan in 14 days. What fraction of the job do they finish if they work together for 3 days? =
30. 30.Nisha and Kabir together finish a job in 6 days. Nisha alone takes 24 days. How many days would Kabir take alone?
31. 31.Arjun works three times as fast as Isha. Together they finish a job in 5 days. How many days would Isha take alone?
32. 32.Meera works twice as fast as Kabir. Together they finish a job in 10 days. How many days would Kabir take alone?
33. 33.Vivaan works three times as fast as Rohan. Together they finish a job in 2 days. How many days would Rohan take alone?
34. 34.Diya can finish a job in 10 days and Ananya in 18 days. Diya works alone for 5 days and then stops. Ananya finishes the rest. How many days does Ananya take?
35. 35.Aditya can finish a job in 9 days and Manav in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
36. 36.Meera and Nisha together finish a job in 10 days. Meera alone takes 12 days. How many days would Nisha take alone?
37. 37.Arjun can finish a job in 20 days and Priya in 8 days. Arjun works alone for 15 days and then stops. Priya finishes the rest. How many days does Priya take?
38. 38.Saanvi works three times as fast as Priya. Together they finish a job in 12 days. How many days would Priya take alone?
39. 39.Aarav can finish a job in 3 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. =
40. 40.Diya can finish a job in 20 days and Aditya in 19 days. What fraction of the job do they finish if they work together for 3 days? =

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