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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 86 · 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.Ananya can finish a job in 7 days and Ishaan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Karan and Diya together finish a job in 12 days. Karan alone takes 21 days. How many days would Diya take alone?
  3. 3.Pooja can finish a job in 24 days and Karan in 6 days. Pooja works alone for 20 days and then stops. Karan finishes the rest. How many days does Karan take?
  4. 4.Farhan works twice as fast as Dev. Together they finish a job in 4 days. How many days would Dev take alone?
  5. 5.Ishaan works twice as fast as Aditya. Together they finish a job in 3 days. How many days would Aditya take alone?
  6. 6.Kavya can finish a job in 16 days and Ananya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Isha can finish a job in 4 days and Tara in 20 days. Isha works alone for 3 days and then stops. Tara finishes the rest. How many days does Tara take?
  8. 8.Priya and Diya together finish a job in 7 days. Priya alone takes 8 days. How many days would Diya take alone?
  9. 9.Rohan can finish a job in 22 days and Arjun in 11 days. Rohan works alone for 10 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  10. 10.Zoya works twice as fast as Dev. Together they finish a job in 9 days. How many days would Dev take alone?
  11. 11.Rohan can finish a job in 6 days and Diya in 18 days. Rohan works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
  12. 12.Saanvi can finish a job in 20 days and Ishaan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Sneha can finish a job in 12 days and Isha in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Kabir and Aditya together finish a job in 16 days. Kabir alone takes 20 days. How many days would Aditya take alone?
  15. 15.Manav can finish a job in 6 days and Karan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Vivaan can finish a job in 15 days and Farhan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Karan works three times as fast as Vivaan. Together they finish a job in 2 days. How many days would Vivaan take alone?
  18. 18.Vivaan and Kabir together finish a job in 5 days. Vivaan alone takes 30 days. How many days would Kabir take alone?
  19. 19.Manav and Isha together finish a job in 12 days. Manav alone takes 14 days. How many days would Isha take alone?
  20. 20.Isha can finish a job in 10 days and Ishaan in 30 days. Isha works alone for 1 day and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  21. 21.Pooja and Arjun together finish a job in 3 days. Pooja alone takes 4 days. How many days would Arjun take alone?
  22. 22.Aarav and Dev together finish a job in 2 days. Aarav alone takes 3 days. How many days would Dev take alone?
  23. 23.Rohan can finish a job in 16 days and Nisha in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Meera can finish a job in 3 days and Aditya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Rahul works three times as fast as Pooja. Together they finish a job in 2 days. How many days would Pooja take alone?
  26. 26.Diya works twice as fast as Ananya. Together they finish a job in 5 days. How many days would Ananya take alone?
  27. 27.Diya can finish a job in 12 days and Kabir in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Rohan can finish a job in 13 days and Farhan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Aarav and Priya together finish a job in 3 days. Aarav alone takes 4 days. How many days would Priya take alone?
  30. 30.Rohan can finish a job in 19 days and Rahul in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Vivaan and Arjun together finish a job in 12 days. Vivaan alone takes 15 days. How many days would Arjun take alone?
  32. 32.Rohan can finish a job in 4 days and Priya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Vivaan can finish a job in 19 days and Zoya in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  34. 34.Saanvi works twice as fast as Aarav. Together they finish a job in 9 days. How many days would Aarav take alone?
  35. 35.Aditya works twice as fast as Farhan. Together they finish a job in 2 days. How many days would Farhan take alone?
  36. 36.Meera and Arjun together finish a job in 10 days. Meera alone takes 15 days. How many days would Arjun take alone?
  37. 37.Rahul can finish a job in 14 days and Priya in 28 days. Rahul works alone for 2 days and then stops. Priya finishes the rest. How many days does Priya take?
  38. 38.Manav can finish a job in 17 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. =
  39. 39.Farhan can finish a job in 15 days and Zoya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Pooja works three times as fast as Manav. Together they finish a job in 12 days. How many days would Manav take alone?

Answer key

  1. 140/27
  2. 28
  3. 1
  4. 12
  5. 9
  6. 304/35
  7. 5
  8. 56
  9. 6
  10. 27
  11. 6
  12. 140/27
  13. 156/25
  14. 80
  15. 18/5
  16. 60/19
  17. 8
  18. 6
  19. 84
  20. 27
  21. 12
  22. 6
  23. 25/144
  24. 9/4
  25. 8
  26. 15
  27. 132/23
  28. 208/29
  29. 12
  30. 34/285
  31. 60
  32. 60/19
  33. 56/171
  34. 27
  35. 6
  36. 30
  37. 24
  38. 170/27
  39. 60/7
  40. 48

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