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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 231 · 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.Manav works three times as fast as Tara. Together they finish a job in 8 days. How many days would Tara take alone?
  2. 2.Farhan works twice as fast as Diya. Together they finish a job in 11 days. How many days would Diya take alone?
  3. 3.Manav works three times as fast as Sneha. Together they finish a job in 9 days. How many days would Sneha take alone?
  4. 4.Sneha can finish a job in 6 days and Diya in 18 days. Sneha works alone for 1 day and then stops. Diya finishes the rest. How many days does Diya take?
  5. 5.Sneha works twice as fast as Nisha. Together they finish a job in 7 days. How many days would Nisha take alone?
  6. 6.Pooja can finish a job in 19 days and Aditya in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Zoya and Kabir together finish a job in 4 days. Zoya alone takes 12 days. How many days would Kabir take alone?
  8. 8.Farhan and Aditya together finish a job in 8 days. Farhan alone takes 16 days. How many days would Aditya take alone?
  9. 9.Nisha can finish a job in 12 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. =
  10. 10.Kavya can finish a job in 13 days and Aditya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Meera works twice as fast as Dev. Together they finish a job in 7 days. How many days would Dev take alone?
  12. 12.Rohan can finish a job in 18 days and Isha in 12 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 3 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. =
  14. 14.Manav can finish a job in 3 days and Ishaan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Isha and Ananya together finish a job in 15 days. Isha alone takes 18 days. How many days would Ananya take alone?
  16. 16.Sneha can finish a job in 10 days and Rohan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Kabir and Tara together finish a job in 6 days. Kabir alone takes 7 days. How many days would Tara take alone?
  18. 18.Manav can finish a job in 25 days and Isha in 30 days. Manav works alone for 20 days and then stops. Isha finishes the rest. How many days does Isha take?
  19. 19.Vivaan works twice as fast as Ishaan. Together they finish a job in 8 days. How many days would Ishaan take alone?
  20. 20.Zoya works twice as fast as Vivaan. Together they finish a job in 10 days. How many days would Vivaan take alone?
  21. 21.Aditya can finish a job in 19 days and Vivaan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Tara and Manav together finish a job in 2 days. Tara alone takes 3 days. How many days would Manav take alone?
  23. 23.Kabir can finish a job in 8 days and Ishaan in 24 days. Kabir works alone for 5 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  24. 24.Pooja can finish a job in 6 days and Sneha in 20 days. Pooja works alone for 3 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  25. 25.Aarav can finish a job in 8 days and Kabir in 16 days. Aarav works alone for 5 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  26. 26.Saanvi can finish a job in 8 days and Vivaan in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  27. 27.Diya can finish a job in 8 days and Vivaan in 24 days. Diya works alone for 2 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  28. 28.Priya and Kavya together finish a job in 6 days. Priya alone takes 9 days. How many days would Kavya take alone?
  29. 29.Priya can finish a job in 12 days and Isha in 24 days. Priya works alone for 10 days and then stops. Isha finishes the rest. How many days does Isha take?
  30. 30.Zoya can finish a job in 19 days and Vivaan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Zoya can finish a job in 15 days and Kabir in 25 days. Zoya works alone for 9 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  32. 32.Diya can finish a job in 12 days and Sneha in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Rahul can finish a job in 4 days and Meera in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Manav works three times as fast as Aditya. Together they finish a job in 12 days. How many days would Aditya take alone?
  35. 35.Karan and Saanvi together finish a job in 7 days. Karan alone takes 8 days. How many days would Saanvi take alone?
  36. 36.Manav and Diya together finish a job in 3 days. Manav alone takes 6 days. How many days would Diya take alone?
  37. 37.Rahul can finish a job in 12 days and Diya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Rahul can finish a job in 6 days and Tara in 12 days. Rahul works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
  39. 39.Kavya can finish a job in 2 days and Tara in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Ananya and Aarav together finish a job in 2 days. Ananya alone takes 6 days. How many days would Aarav take alone?

Answer key

  1. 32
  2. 33
  3. 36
  4. 15
  5. 21
  6. 27/152
  7. 6
  8. 16
  9. 36/7
  10. 39/16
  11. 21
  12. 36/5
  13. 51/20
  14. 51/20
  15. 90
  16. 80/13
  17. 42
  18. 6
  19. 24
  20. 30
  21. 228/31
  22. 6
  23. 9
  24. 10
  25. 6
  26. 39/40
  27. 18
  28. 18
  29. 4
  30. 266/33
  31. 10
  32. 1/2
  33. 12/7
  34. 48
  35. 56
  36. 6
  37. 60/11
  38. 10
  39. 8/5
  40. 3

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