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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 151 · 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.Saanvi can finish a job in 8 days and Diya in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Diya can finish a job in 14 days and Ishaan in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  3. 3.Zoya and Kavya together finish a job in 8 days. Zoya alone takes 9 days. How many days would Kavya take alone?
  4. 4.Vivaan can finish a job in 14 days and Meera in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Arjun can finish a job in 15 days and Aditya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Sneha can finish a job in 13 days and Meera in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Manav can finish a job in 16 days and Tara in 8 days. Manav works alone for 14 days and then stops. Tara finishes the rest. How many days does Tara take?
  8. 8.Rohan can finish a job in 10 days and Dev in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Tara works three times as fast as Kabir. Together they finish a job in 5 days. How many days would Kabir take alone?
  10. 10.Rohan can finish a job in 4 days and Aarav in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Diya and Kabir together finish a job in 5 days. Diya alone takes 10 days. How many days would Kabir take alone?
  12. 12.Manav works three times as fast as Aarav. Together they finish a job in 7 days. How many days would Aarav take alone?
  13. 13.Zoya can finish a job in 7 days and Ishaan in 14 days. Zoya works alone for 4 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  14. 14.Nisha and Manav together finish a job in 21 days. Nisha alone takes 28 days. How many days would Manav take alone?
  15. 15.Ishaan can finish a job in 18 days and Manav in 9 days. Ishaan works alone for 6 days and then stops. Manav finishes the rest. How many days does Manav take?
  16. 16.Ishaan can finish a job in 14 days and Vivaan in 21 days. Ishaan works alone for 10 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  17. 17.Isha can finish a job in 15 days and Tara in 20 days. Isha works alone for 3 days and then stops. Tara finishes the rest. How many days does Tara take?
  18. 18.Aarav can finish a job in 7 days and Priya in 14 days. Aarav works alone for 4 days and then stops. Priya finishes the rest. How many days does Priya take?
  19. 19.Ananya and Nisha together finish a job in 4 days. Ananya alone takes 5 days. How many days would Nisha take alone?
  20. 20.Arjun can finish a job in 14 days and Pooja in 26 days. Arjun works alone for 7 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  21. 21.Diya works twice as fast as Aarav. Together they finish a job in 12 days. How many days would Aarav take alone?
  22. 22.Arjun works twice as fast as Saanvi. Together they finish a job in 2 days. How many days would Saanvi take alone?
  23. 23.Kabir works twice as fast as Tara. Together they finish a job in 9 days. How many days would Tara take alone?
  24. 24.Meera can finish a job in 11 days and Sneha in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  25. 25.Nisha can finish a job in 4 days and Kavya in 18 days. Nisha works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  26. 26.Dev can finish a job in 12 days and Farhan in 6 days. Dev works alone for 2 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  27. 27.Rohan works twice as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?
  28. 28.Ananya can finish a job in 15 days and Ishaan in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  29. 29.Aditya can finish a job in 5 days and Rahul in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Farhan and Aarav together finish a job in 4 days. Farhan alone takes 5 days. How many days would Aarav take alone?
  31. 31.Dev can finish a job in 13 days and Arjun in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Arjun can finish a job in 17 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. =
  33. 33.Rahul and Ishaan together finish a job in 3 days. Rahul alone takes 4 days. How many days would Ishaan take alone?
  34. 34.Ishaan can finish a job in 14 days and Kabir in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Dev can finish a job in 5 days and Rahul in 10 days. Dev works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  36. 36.Aarav can finish a job in 4 days and Rahul in 18 days. Aarav works alone for 2 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  37. 37.Rahul can finish a job in 12 days and Meera in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Diya and Meera together finish a job in 12 days. Diya alone takes 24 days. How many days would Meera take alone?
  39. 39.Diya can finish a job in 10 days and Dev in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  40. 40.Zoya works twice as fast as Karan. Together they finish a job in 2 days. How many days would Karan take alone?

Answer key

  1. 21/104
  2. 19/35
  3. 72
  4. 35/6
  5. 105/22
  6. 32/247
  7. 1
  8. 80/13
  9. 20
  10. 8/3
  11. 10
  12. 28
  13. 6
  14. 84
  15. 6
  16. 6
  17. 16
  18. 6
  19. 20
  20. 13
  21. 36
  22. 6
  23. 27
  24. 57/88
  25. 9
  26. 5
  27. 12
  28. 7/30
  29. 9/20
  30. 20
  31. 182/27
  32. 51/20
  33. 12
  34. 140/17
  35. 2
  36. 9
  37. 228/31
  38. 24
  39. 63/110
  40. 6

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