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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 164 · 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.Meera works three times as fast as Tara. Together they finish a job in 4 days. How many days would Tara take alone?
  2. 2.Karan and Saanvi together finish a job in 6 days. Karan alone takes 24 days. How many days would Saanvi take alone?
  3. 3.Dev works three times as fast as Rahul. Together they finish a job in 2 days. How many days would Rahul take alone?
  4. 4.Tara and Sneha together finish a job in 2 days. Tara alone takes 4 days. How many days would Sneha take alone?
  5. 5.Rohan can finish a job in 16 days and Saanvi in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  6. 6.Kavya can finish a job in 5 days and Saanvi in 25 days. Kavya works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  7. 7.Sneha works twice as fast as Nisha. Together they finish a job in 8 days. How many days would Nisha take alone?
  8. 8.Aarav can finish a job in 8 days and Arjun in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Arjun can finish a job in 18 days and Meera in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Rahul and Zoya together finish a job in 8 days. Rahul alone takes 9 days. How many days would Zoya take alone?
  11. 11.Zoya can finish a job in 6 days and Diya in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Manav works three times as fast as Diya. Together they finish a job in 10 days. How many days would Diya take alone?
  13. 13.Vivaan can finish a job in 24 days and Manav in 28 days. Vivaan works alone for 18 days and then stops. Manav finishes the rest. How many days does Manav take?
  14. 14.Vivaan can finish a job in 18 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. =
  15. 15.Kabir and Arjun together finish a job in 3 days. Kabir alone takes 4 days. How many days would Arjun take alone?
  16. 16.Aarav and Arjun together finish a job in 15 days. Aarav alone takes 20 days. How many days would Arjun take alone?
  17. 17.Saanvi can finish a job in 17 days and Tara in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Karan can finish a job in 5 days and Sneha in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Aditya can finish a job in 3 days and Kabir in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Rahul can finish a job in 13 days and Saanvi in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Aditya can finish a job in 15 days and Manav in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Aarav and Rahul together finish a job in 2 days. Aarav alone takes 6 days. How many days would Rahul take alone?
  23. 23.Kavya can finish a job in 5 days and Arjun in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Meera and Diya together finish a job in 5 days. Meera alone takes 10 days. How many days would Diya take alone?
  25. 25.Sneha can finish a job in 11 days and Kabir in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Rahul can finish a job in 9 days and Sneha in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Manav and Karan together finish a job in 6 days. Manav alone takes 8 days. How many days would Karan take alone?
  28. 28.Ishaan can finish a job in 2 days and Diya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Tara can finish a job in 9 days and Pooja in 27 days. Tara works alone for 7 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  30. 30.Nisha works twice as fast as Diya. Together they finish a job in 5 days. How many days would Diya take alone?
  31. 31.Meera and Sneha together finish a job in 2 days. Meera alone takes 4 days. How many days would Sneha take alone?
  32. 32.Tara can finish a job in 4 days and Meera in 14 days. Tara works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
  33. 33.Rahul can finish a job in 17 days and Arjun in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  34. 34.Kabir can finish a job in 14 days and Farhan in 28 days. Kabir works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  35. 35.Tara and Ishaan together finish a job in 3 days. Tara alone takes 12 days. How many days would Ishaan take alone?
  36. 36.Kabir works three times as fast as Sneha. Together they finish a job in 4 days. How many days would Sneha take alone?
  37. 37.Diya and Arjun together finish a job in 12 days. Diya alone takes 28 days. How many days would Arjun take alone?
  38. 38.Aarav can finish a job in 6 days and Rahul in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Aarav can finish a job in 30 days and Kabir in 10 days. Aarav works alone for 24 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  40. 40.Meera can finish a job in 9 days and Karan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 16
  2. 8
  3. 8
  4. 4
  5. 69/112
  6. 10
  7. 24
  8. 24/11
  9. 13/72
  10. 72
  11. 13/20
  12. 40
  13. 7
  14. 72/13
  15. 12
  16. 60
  17. 153/26
  18. 11/30
  19. 30/13
  20. 31/78
  21. 60/7
  22. 3
  23. 36/65
  24. 10
  25. 154/25
  26. 56/171
  27. 24
  28. 26/15
  29. 6
  30. 15
  31. 4
  32. 7
  33. 31/238
  34. 22
  35. 4
  36. 16
  37. 21
  38. 13/42
  39. 2
  40. 45/14

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