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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 483 · 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.Arjun works twice as fast as Tara. Together they finish a job in 6 days. How many days would Tara take alone?
  2. 2.Zoya works three times as fast as Kabir. Together they finish a job in 10 days. How many days would Kabir take alone?
  3. 3.Farhan can finish a job in 13 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. =
  4. 4.Vivaan works twice as fast as Priya. Together they finish a job in 11 days. How many days would Priya take alone?
  5. 5.Dev can finish a job in 10 days and Saanvi in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Manav and Rohan together finish a job in 3 days. Manav alone takes 6 days. How many days would Rohan take alone?
  7. 7.Dev works twice as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
  8. 8.Meera can finish a job in 16 days and Nisha in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Tara can finish a job in 5 days and Diya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Karan works twice as fast as Nisha. Together they finish a job in 10 days. How many days would Nisha take alone?
  11. 11.Ananya and Nisha together finish a job in 4 days. Ananya alone takes 5 days. How many days would Nisha take alone?
  12. 12.Priya can finish a job in 15 days and Vivaan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Zoya can finish a job in 27 days and Rahul in 9 days. Zoya works alone for 21 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  14. 14.Nisha works twice as fast as Zoya. Together they finish a job in 12 days. How many days would Zoya take alone?
  15. 15.Aarav and Sneha together finish a job in 2 days. Aarav alone takes 4 days. How many days would Sneha take alone?
  16. 16.Ishaan can finish a job in 7 days and Aditya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Zoya and Karan together finish a job in 2 days. Zoya alone takes 3 days. How many days would Karan take alone?
  18. 18.Aditya can finish a job in 18 days and Priya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Rohan can finish a job in 12 days and Saanvi in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Isha can finish a job in 14 days and Vivaan in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Meera works three times as fast as Vivaan. Together they finish a job in 8 days. How many days would Vivaan take alone?
  22. 22.Rohan can finish a job in 16 days and Arjun in 8 days. Rohan works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  23. 23.Nisha can finish a job in 14 days and Manav in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Ishaan can finish a job in 4 days and Rahul in 14 days. Ishaan works alone for 2 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  25. 25.Saanvi can finish a job in 13 days and Kavya in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Pooja can finish a job in 6 days and Dev in 9 days. Pooja works alone for 4 days and then stops. Dev finishes the rest. How many days does Dev take?
  27. 27.Rohan can finish a job in 4 days and Diya in 10 days. Rohan works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  28. 28.Karan can finish a job in 6 days and Aditya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Ishaan works twice as fast as Saanvi. Together they finish a job in 3 days. How many days would Saanvi take alone?
  30. 30.Rohan can finish a job in 15 days and Rahul in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Isha can finish a job in 12 days and Kabir in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Isha can finish a job in 5 days and Meera in 30 days. Isha works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  33. 33.Diya can finish a job in 13 days and Aarav in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Kabir can finish a job in 13 days and Farhan in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  35. 35.Isha can finish a job in 15 days and Diya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Kavya and Dev together finish a job in 2 days. Kavya alone takes 3 days. How many days would Dev take alone?
  37. 37.Rohan can finish a job in 19 days and Kabir in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Isha can finish a job in 10 days and Pooja in 20 days. Isha works alone for 7 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  39. 39.Kavya can finish a job in 6 days and Arjun in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Diya can finish a job in 12 days and Farhan in 4 days. What fraction of the job do they finish if they work together for 1 day? =

Answer key

  1. 18
  2. 40
  3. 208/29
  4. 33
  5. 6
  6. 6
  7. 18
  8. 31/240
  9. 4
  10. 30
  11. 20
  12. 285/34
  13. 2
  14. 36
  15. 4
  16. 14/9
  17. 6
  18. 198/29
  19. 60/11
  20. 81/182
  21. 32
  22. 6
  23. 23/63
  24. 7
  25. 32/247
  26. 3
  27. 5
  28. 30/7
  29. 9
  30. 90/11
  31. 60/17
  32. 12
  33. 182/27
  34. 63/104
  35. 5/2
  36. 6
  37. 323/36
  38. 6
  39. 4
  40. 1/3

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