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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 440 · 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.Rohan and Tara together finish a job in 14 days. Rohan alone takes 21 days. How many days would Tara take alone?
  2. 2.Arjun works three times as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  3. 3.Kabir can finish a job in 18 days and Kavya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Dev can finish a job in 9 days and Pooja in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  5. 5.Rohan can finish a job in 4 days and Farhan in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  6. 6.Ananya and Kavya together finish a job in 8 days. Ananya alone takes 10 days. How many days would Kavya take alone?
  7. 7.Rohan can finish a job in 7 days and Ishaan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Aditya can finish a job in 5 days and Manav in 25 days. Aditya works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  9. 9.Kabir can finish a job in 7 days and Tara in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Aarav can finish a job in 5 days and Diya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Isha can finish a job in 11 days and Farhan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Aditya and Vivaan together finish a job in 10 days. Aditya alone takes 15 days. How many days would Vivaan take alone?
  13. 13.Vivaan can finish a job in 17 days and Aditya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Diya can finish a job in 11 days and Isha in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  15. 15.Rahul can finish a job in 4 days and Tara in 12 days. Rahul works alone for 3 days and then stops. Tara finishes the rest. How many days does Tara take?
  16. 16.Nisha can finish a job in 24 days and Rahul in 18 days. Nisha works alone for 8 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  17. 17.Sneha can finish a job in 11 days and Arjun in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Dev can finish a job in 5 days and Tara in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Saanvi can finish a job in 6 days and Rahul in 26 days. Saanvi works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  20. 20.Rahul can finish a job in 15 days and Ishaan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Diya and Sneha together finish a job in 15 days. Diya alone takes 18 days. How many days would Sneha take alone?
  22. 22.Isha and Kabir together finish a job in 6 days. Isha alone takes 12 days. How many days would Kabir take alone?
  23. 23.Vivaan can finish a job in 5 days and Diya in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  24. 24.Kabir can finish a job in 6 days and Aarav in 12 days. Kabir works alone for 1 day and then stops. Aarav finishes the rest. How many days does Aarav take?
  25. 25.Manav can finish a job in 7 days and Isha in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Meera can finish a job in 17 days and Rohan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Arjun and Tara together finish a job in 12 days. Arjun alone takes 20 days. How many days would Tara take alone?
  28. 28.Vivaan can finish a job in 5 days and Manav in 10 days. Vivaan works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  29. 29.Rohan works three times as fast as Dev. Together they finish a job in 10 days. How many days would Dev take alone?
  30. 30.Kavya and Priya together finish a job in 2 days. Kavya alone takes 4 days. How many days would Priya take alone?
  31. 31.Ananya can finish a job in 8 days and Rohan in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Sneha works twice as fast as Diya. Together they finish a job in 8 days. How many days would Diya take alone?
  33. 33.Ananya can finish a job in 9 days and Ishaan in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  34. 34.Diya can finish a job in 14 days and Pooja in 28 days. Diya works alone for 3 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  35. 35.Isha can finish a job in 18 days and Zoya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Aarav can finish a job in 11 days and Zoya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Meera can finish a job in 12 days and Manav in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Tara and Rohan together finish a job in 8 days. Tara alone takes 9 days. How many days would Rohan take alone?
  39. 39.Aarav and Ananya together finish a job in 14 days. Aarav alone takes 18 days. How many days would Ananya take alone?
  40. 40.Vivaan can finish a job in 20 days and Arjun in 18 days. What fraction of the job do they finish if they work together for 1 day? =

Answer key

  1. 42
  2. 16
  3. 9/2
  4. 28/171
  5. 11/12
  6. 40
  7. 56/15
  8. 15
  9. 91/20
  10. 85/22
  11. 66/17
  12. 30
  13. 306/35
  14. 54/77
  15. 3
  16. 12
  17. 22/13
  18. 10/7
  19. 13
  20. 6
  21. 90
  22. 12
  23. 39/40
  24. 10
  25. 16/21
  26. 136/25
  27. 30
  28. 6
  29. 40
  30. 4
  31. 3/8
  32. 24
  33. 19/45
  34. 22
  35. 9/5
  36. 44/15
  37. 17/20
  38. 72
  39. 63
  40. 19/180

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