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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 144 · 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.Zoya works twice as fast as Diya. Together they finish a job in 6 days. How many days would Diya take alone?
  2. 2.Arjun can finish a job in 8 days and Sneha in 26 days. Arjun works alone for 4 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  3. 3.Aarav works twice as fast as Sneha. Together they finish a job in 3 days. How many days would Sneha take alone?
  4. 4.Priya can finish a job in 6 days and Diya in 9 days. Priya works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
  5. 5.Aarav can finish a job in 12 days and Meera in 20 days. Aarav works alone for 9 days and then stops. Meera finishes the rest. How many days does Meera take?
  6. 6.Dev can finish a job in 4 days and Kabir in 8 days. Dev works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  7. 7.Rohan can finish a job in 21 days and Isha in 14 days. Rohan works alone for 18 days and then stops. Isha finishes the rest. How many days does Isha take?
  8. 8.Nisha and Arjun together finish a job in 5 days. Nisha alone takes 10 days. How many days would Arjun take alone?
  9. 9.Vivaan and Nisha together finish a job in 3 days. Vivaan alone takes 4 days. How many days would Nisha take alone?
  10. 10.Priya can finish a job in 20 days and Sneha in 18 days. Priya works alone for 10 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  11. 11.Farhan can finish a job in 21 days and Nisha in 24 days. Farhan works alone for 7 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  12. 12.Dev and Isha together finish a job in 8 days. Dev alone takes 9 days. How many days would Isha take alone?
  13. 13.Aarav can finish a job in 12 days and Diya in 30 days. Aarav works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  14. 14.Ishaan and Vivaan together finish a job in 6 days. Ishaan alone takes 9 days. How many days would Vivaan take alone?
  15. 15.Saanvi and Ananya together finish a job in 2 days. Saanvi alone takes 6 days. How many days would Ananya take alone?
  16. 16.Kabir can finish a job in 17 days and Saanvi in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  17. 17.Rohan can finish a job in 7 days and Meera in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Aditya works three times as fast as Vivaan. Together they finish a job in 4 days. How many days would Vivaan take alone?
  19. 19.Arjun can finish a job in 6 days and Dev in 24 days. Arjun works alone for 1 day and then stops. Dev finishes the rest. How many days does Dev take?
  20. 20.Kavya can finish a job in 14 days and Ananya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Kabir works three times as fast as Aditya. Together they finish a job in 3 days. How many days would Aditya take alone?
  22. 22.Kabir can finish a job in 12 days and Priya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Sneha can finish a job in 20 days and Diya in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  24. 24.Tara can finish a job in 19 days and Karan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Kavya works three times as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
  26. 26.Pooja can finish a job in 15 days and Nisha in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  27. 27.Aarav can finish a job in 17 days and Rohan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Priya works twice as fast as Karan. Together they finish a job in 8 days. How many days would Karan take alone?
  29. 29.Ananya can finish a job in 5 days and Pooja in 10 days. Ananya works alone for 4 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  30. 30.Kabir and Dev together finish a job in 2 days. Kabir alone takes 3 days. How many days would Dev take alone?
  31. 31.Aarav and Arjun together finish a job in 2 days. Aarav alone takes 3 days. How many days would Arjun take alone?
  32. 32.Rohan can finish a job in 8 days and Meera in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Rohan can finish a job in 4 days and Aditya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Nisha works twice as fast as Dev. Together they finish a job in 2 days. How many days would Dev take alone?
  35. 35.Aditya works twice as fast as Rohan. Together they finish a job in 5 days. How many days would Rohan take alone?
  36. 36.Dev can finish a job in 5 days and Tara in 10 days. Dev works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
  37. 37.Tara can finish a job in 8 days and Vivaan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Manav can finish a job in 20 days and Aarav in 5 days. Manav works alone for 4 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  39. 39.Karan can finish a job in 7 days and Saanvi in 28 days. Karan works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  40. 40.Farhan can finish a job in 19 days and Tara in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 18
  2. 13
  3. 9
  4. 3
  5. 5
  6. 4
  7. 2
  8. 10
  9. 12
  10. 9
  11. 16
  12. 72
  13. 25
  14. 18
  15. 3
  16. 72/119
  17. 25/126
  18. 16
  19. 20
  20. 63/8
  21. 12
  22. 156/25
  23. 117/380
  24. 190/29
  25. 16
  26. 23/120
  27. 340/37
  28. 24
  29. 2
  30. 6
  31. 6
  32. 136/25
  33. 16/5
  34. 6
  35. 15
  36. 2
  37. 104/21
  38. 4
  39. 20
  40. 323/36

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