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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 78 · 40 questions
TalentJR

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.

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

Answer key

  1. 5/3
  2. 20
  3. 16
  4. 27
  5. 18/77
  6. 8
  7. 19/35
  8. 20
  9. 99/266
  10. 20
  11. 12/7
  12. 30
  13. 28
  14. 16
  15. 15/112
  16. 10
  17. 36
  18. 15/8
  19. 17/33
  20. 36
  21. 4
  22. 32
  23. 36
  24. 3
  25. 9
  26. 72/143
  27. 3
  28. 23/34
  29. 8
  30. 3
  31. 20
  32. 19/70
  33. 182/27
  34. 12
  35. 104/21
  36. 6
  37. 14
  38. 33/56
  39. 16/63
  40. 12

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