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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 127 · 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.Rahul and Meera together finish a job in 4 days. Rahul alone takes 5 days. How many days would Meera take alone?
  2. 2.Arjun and Karan together finish a job in 12 days. Arjun alone takes 21 days. How many days would Karan take alone?
  3. 3.Ishaan works three times as fast as Nisha. Together they finish a job in 11 days. How many days would Nisha take alone?
  4. 4.Aarav can finish a job in 8 days and Vivaan in 6 days. Aarav works alone for 4 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  5. 5.Aditya can finish a job in 13 days and Arjun in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Priya can finish a job in 6 days and Nisha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Kabir works twice as fast as Dev. Together they finish a job in 6 days. How many days would Dev take alone?
  8. 8.Priya can finish a job in 5 days and Kabir in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Rahul and Isha together finish a job in 3 days. Rahul alone takes 6 days. How many days would Isha take alone?
  10. 10.Karan can finish a job in 19 days and Kavya in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Priya can finish a job in 5 days and Aarav in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Kavya can finish a job in 14 days and Manav in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Rahul can finish a job in 7 days and Rohan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Zoya can finish a job in 9 days and Kavya in 27 days. Zoya works alone for 4 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  15. 15.Sneha can finish a job in 19 days and Manav in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Saanvi can finish a job in 14 days and Tara in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Dev and Kavya together finish a job in 15 days. Dev alone takes 30 days. How many days would Kavya take alone?
  18. 18.Zoya can finish a job in 20 days and Meera in 8 days. Zoya works alone for 10 days and then stops. Meera finishes the rest. How many days does Meera take?
  19. 19.Rahul can finish a job in 7 days and Diya in 28 days. Rahul works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
  20. 20.Sneha can finish a job in 11 days and Kavya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Nisha can finish a job in 11 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. =
  22. 22.Kabir and Isha together finish a job in 3 days. Kabir alone takes 4 days. How many days would Isha take alone?
  23. 23.Vivaan can finish a job in 9 days and Meera in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Isha can finish a job in 20 days and Aarav in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  25. 25.Tara and Kavya together finish a job in 3 days. Tara alone takes 4 days. How many days would Kavya take alone?
  26. 26.Aarav works twice as fast as Ishaan. Together they finish a job in 8 days. How many days would Ishaan take alone?
  27. 27.Meera and Tara together finish a job in 5 days. Meera alone takes 6 days. How many days would Tara take alone?
  28. 28.Meera can finish a job in 6 days and Kavya in 12 days. Meera works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  29. 29.Isha can finish a job in 15 days and Manav in 30 days. Isha works alone for 6 days and then stops. Manav finishes the rest. How many days does Manav take?
  30. 30.Aarav can finish a job in 18 days and Pooja in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Rahul can finish a job in 20 days and Ananya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Aditya can finish a job in 18 days and Nisha in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Pooja works three times as fast as Priya. Together they finish a job in 8 days. How many days would Priya take alone?
  34. 34.Aditya can finish a job in 10 days and Zoya in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  35. 35.Farhan can finish a job in 11 days and Tara in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Manav can finish a job in 6 days and Farhan in 18 days. Manav works alone for 2 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  37. 37.Zoya can finish a job in 20 days and Karan in 5 days. Zoya works alone for 16 days and then stops. Karan finishes the rest. How many days does Karan take?
  38. 38.Diya works twice as fast as Pooja. Together they finish a job in 5 days. How many days would Pooja take alone?
  39. 39.Saanvi works twice as fast as Aditya. Together they finish a job in 11 days. How many days would Aditya take alone?
  40. 40.Kabir and Pooja together finish a job in 4 days. Kabir alone takes 5 days. How many days would Pooja take alone?

Answer key

  1. 20
  2. 28
  3. 44
  4. 3
  5. 143/24
  6. 12/5
  7. 18
  8. 14/45
  9. 6
  10. 28/57
  11. 10/3
  12. 210/29
  13. 63/16
  14. 15
  15. 57/22
  16. 140/17
  17. 30
  18. 4
  19. 12
  20. 176/27
  21. 22/13
  22. 12
  23. 144/25
  24. 29/90
  25. 12
  26. 24
  27. 30
  28. 8
  29. 18
  30. 72/13
  31. 4
  32. 35/306
  33. 32
  34. 23/65
  35. 33/14
  36. 12
  37. 1
  38. 15
  39. 33
  40. 20

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