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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 370 · 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.Vivaan and Kabir together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Kabir take alone?
  2. 2.Ananya can finish a job in 8 days and Tara in 4 days. Ananya works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
  3. 3.Ananya can finish a job in 14 days and Kabir in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Ishaan can finish a job in 18 days and Rahul in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Nisha can finish a job in 4 days and Priya in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  6. 6.Aarav can finish a job in 8 days and Zoya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Farhan can finish a job in 8 days and Pooja in 16 days. Farhan works alone for 4 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  8. 8.Manav can finish a job in 7 days and Saanvi in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Vivaan works twice as fast as Kabir. Together they finish a job in 11 days. How many days would Kabir take alone?
  10. 10.Rahul can finish a job in 15 days and Pooja in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Zoya can finish a job in 20 days and Diya in 10 days. Zoya works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  12. 12.Ishaan can finish a job in 10 days and Rahul in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Isha can finish a job in 17 days and Arjun in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Zoya can finish a job in 5 days and Rahul in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Rohan can finish a job in 6 days and Manav in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Aarav works twice as fast as Saanvi. Together they finish a job in 6 days. How many days would Saanvi take alone?
  17. 17.Ananya can finish a job in 8 days and Meera in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Diya can finish a job in 5 days and Priya in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Priya can finish a job in 6 days and Ishaan in 30 days. Priya works alone for 4 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  20. 20.Meera works twice as fast as Vivaan. Together they finish a job in 6 days. How many days would Vivaan take alone?
  21. 21.Isha works three times as fast as Tara. Together they finish a job in 12 days. How many days would Tara take alone?
  22. 22.Rahul and Isha together finish a job in 9 days. Rahul alone takes 18 days. How many days would Isha take alone?
  23. 23.Isha can finish a job in 6 days and Nisha in 12 days. Isha works alone for 1 day and then stops. Nisha finishes the rest. How many days does Nisha take?
  24. 24.Pooja can finish a job in 20 days and Rahul in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Isha can finish a job in 19 days and Pooja in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Diya and Sneha together finish a job in 2 days. Diya alone takes 4 days. How many days would Sneha take alone?
  27. 27.Diya can finish a job in 9 days and Zoya in 27 days. Diya works alone for 5 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  28. 28.Arjun can finish a job in 9 days and Kavya in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Priya and Saanvi together finish a job in 6 days. Priya alone takes 15 days. How many days would Saanvi take alone?
  30. 30.Priya can finish a job in 6 days and Aarav in 27 days. Priya works alone for 4 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  31. 31.Saanvi can finish a job in 7 days and Aditya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Rahul and Zoya together finish a job in 6 days. Rahul alone takes 9 days. How many days would Zoya take alone?
  33. 33.Priya and Dev together finish a job in 16 days. Priya alone takes 24 days. How many days would Dev take alone?
  34. 34.Aarav can finish a job in 8 days and Priya in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  35. 35.Kavya can finish a job in 15 days and Priya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Rahul works twice as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
  37. 37.Diya can finish a job in 6 days and Meera in 26 days. Diya works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  38. 38.Ananya can finish a job in 18 days and Ishaan in 4 days. Ananya works alone for 9 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  39. 39.Sneha works twice as fast as Aditya. Together they finish a job in 8 days. How many days would Aditya take alone?
  40. 40.Rahul and Diya together finish a job in 2 days. Rahul alone takes 3 days. How many days would Diya take alone?

Answer key

  1. 6
  2. 2
  3. 57/70
  4. 342/37
  5. 19/30
  6. 23/120
  7. 8
  8. 63/16
  9. 33
  10. 120/23
  11. 9
  12. 90/19
  13. 255/32
  14. 12/35
  15. 4/5
  16. 18
  17. 13/72
  18. 21/40
  19. 10
  20. 18
  21. 48
  22. 18
  23. 10
  24. 20/11
  25. 27/152
  26. 4
  27. 12
  28. 5/9
  29. 10
  30. 9
  31. 12/35
  32. 18
  33. 48
  34. 21/104
  35. 240/31
  36. 12
  37. 13
  38. 2
  39. 24
  40. 6

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