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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 411 · 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.Dev and Priya together finish a job in 6 days. Dev alone takes 18 days. How many days would Priya take alone?
  2. 2.Kavya and Diya together finish a job in 5 days. Kavya alone takes 30 days. How many days would Diya take alone?
  3. 3.Diya and Dev together finish a job in 9 days. Diya alone takes 10 days. How many days would Dev take alone?
  4. 4.Saanvi can finish a job in 5 days and Sneha in 25 days. Saanvi works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  5. 5.Saanvi can finish a job in 11 days and Meera in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Rohan can finish a job in 5 days and Farhan in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  7. 7.Meera and Tara together finish a job in 3 days. Meera alone takes 4 days. How many days would Tara take alone?
  8. 8.Meera works three times as fast as Pooja. Together they finish a job in 7 days. How many days would Pooja take alone?
  9. 9.Zoya and Karan together finish a job in 9 days. Zoya alone takes 10 days. How many days would Karan take alone?
  10. 10.Vivaan can finish a job in 17 days and Kavya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Saanvi and Meera together finish a job in 7 days. Saanvi alone takes 8 days. How many days would Meera take alone?
  12. 12.Pooja can finish a job in 14 days and Meera in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  13. 13.Aditya and Karan together finish a job in 2 days. Aditya alone takes 4 days. How many days would Karan take alone?
  14. 14.Zoya and Karan together finish a job in 5 days. Zoya alone takes 10 days. How many days would Karan take alone?
  15. 15.Saanvi and Tara together finish a job in 2 days. Saanvi alone takes 3 days. How many days would Tara take alone?
  16. 16.Dev can finish a job in 5 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. =
  17. 17.Karan can finish a job in 18 days and Kabir in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Sneha can finish a job in 19 days and Meera in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Isha can finish a job in 2 days and Saanvi in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Kabir and Aarav together finish a job in 10 days. Kabir alone takes 12 days. How many days would Aarav take alone?
  21. 21.Isha and Aarav together finish a job in 9 days. Isha alone takes 10 days. How many days would Aarav take alone?
  22. 22.Aditya can finish a job in 6 days and Rahul in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Farhan works twice as fast as Aditya. Together they finish a job in 4 days. How many days would Aditya take alone?
  24. 24.Rohan works twice as fast as Nisha. Together they finish a job in 7 days. How many days would Nisha take alone?
  25. 25.Isha can finish a job in 13 days and Arjun in 26 days. Isha works alone for 11 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  26. 26.Tara can finish a job in 18 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. =
  27. 27.Priya can finish a job in 16 days and Ishaan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Aarav works twice as fast as Priya. Together they finish a job in 11 days. How many days would Priya take alone?
  29. 29.Manav can finish a job in 16 days and Pooja in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Zoya can finish a job in 8 days and Ishaan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Arjun works twice as fast as Rahul. Together they finish a job in 9 days. How many days would Rahul take alone?
  32. 32.Aarav can finish a job in 15 days and Priya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Manav can finish a job in 5 days and Ananya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Aditya works three times as fast as Pooja. Together they finish a job in 6 days. How many days would Pooja take alone?
  35. 35.Priya and Diya together finish a job in 2 days. Priya alone takes 4 days. How many days would Diya take alone?
  36. 36.Dev can finish a job in 17 days and Nisha in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Sneha can finish a job in 17 days and Zoya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Meera works twice as fast as Manav. Together they finish a job in 9 days. How many days would Manav take alone?
  39. 39.Kavya can finish a job in 5 days and Manav in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  40. 40.Manav can finish a job in 14 days and Arjun in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 9
  2. 6
  3. 90
  4. 15
  5. 143/24
  6. 21/40
  7. 12
  8. 28
  9. 90
  10. 153/26
  11. 56
  12. 16/63
  13. 4
  14. 10
  15. 6
  16. 60/17
  17. 37/342
  18. 38/21
  19. 3/2
  20. 60
  21. 90
  22. 25/114
  23. 12
  24. 21
  25. 4
  26. 90/23
  27. 16/9
  28. 33
  29. 112/15
  30. 40/7
  31. 27
  32. 6
  33. 4
  34. 24
  35. 4
  36. 30/221
  37. 35/102
  38. 27
  39. 9/20
  40. 63/8

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