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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 468 · 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 works twice as fast as Manav. Together they finish a job in 7 days. How many days would Manav take alone?
  2. 2.Farhan can finish a job in 12 days and Isha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Dev works three times as fast as Tara. Together they finish a job in 9 days. How many days would Tara take alone?
  4. 4.Sneha can finish a job in 3 days and Nisha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Nisha can finish a job in 5 days and Manav in 30 days. Nisha works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  6. 6.Farhan works twice as fast as Karan. Together they finish a job in 8 days. How many days would Karan take alone?
  7. 7.Meera works three times as fast as Ishaan. Together they finish a job in 3 days. How many days would Ishaan take alone?
  8. 8.Pooja can finish a job in 11 days and Ananya in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Saanvi can finish a job in 14 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. =
  10. 10.Rahul can finish a job in 6 days and Diya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Nisha can finish a job in 20 days and Rohan in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Ananya can finish a job in 14 days and Aarav in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Rahul works twice as fast as Diya. Together they finish a job in 4 days. How many days would Diya take alone?
  14. 14.Aditya can finish a job in 13 days and Tara in 26 days. Aditya works alone for 10 days and then stops. Tara finishes the rest. How many days does Tara take?
  15. 15.Zoya works twice as fast as Pooja. Together they finish a job in 10 days. How many days would Pooja take alone?
  16. 16.Diya can finish a job in 6 days and Rahul in 4 days. Diya works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  17. 17.Vivaan can finish a job in 10 days and Meera in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Saanvi can finish a job in 4 days and Diya in 20 days. Saanvi works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  19. 19.Farhan works twice as fast as Pooja. Together they finish a job in 3 days. How many days would Pooja take alone?
  20. 20.Farhan can finish a job in 6 days and Kabir in 12 days. Farhan works alone for 4 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  21. 21.Aditya can finish a job in 5 days and Kavya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Farhan can finish a job in 6 days and Vivaan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Kabir can finish a job in 6 days and Farhan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Rahul works twice as fast as Aarav. Together they finish a job in 12 days. How many days would Aarav take alone?
  25. 25.Kavya can finish a job in 7 days and Farhan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Nisha can finish a job in 5 days and Dev in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Farhan can finish a job in 12 days and Rohan in 18 days. Farhan works alone for 6 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  28. 28.Priya can finish a job in 16 days and Arjun in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  29. 29.Vivaan works twice as fast as Saanvi. Together they finish a job in 8 days. How many days would Saanvi take alone?
  30. 30.Pooja can finish a job in 6 days and Zoya in 18 days. Pooja works alone for 5 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  31. 31.Aarav works three times as fast as Sneha. Together they finish a job in 9 days. How many days would Sneha take alone?
  32. 32.Diya can finish a job in 11 days and Ishaan in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Diya can finish a job in 21 days and Rahul in 14 days. Diya works alone for 12 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  34. 34.Zoya works twice as fast as Saanvi. Together they finish a job in 7 days. How many days would Saanvi take alone?
  35. 35.Saanvi can finish a job in 17 days and Diya in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Arjun can finish a job in 9 days and Diya in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Karan and Kabir together finish a job in 12 days. Karan alone takes 20 days. How many days would Kabir take alone?
  38. 38.Aarav can finish a job in 7 days and Ananya in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  39. 39.Ishaan can finish a job in 15 days and Diya in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  40. 40.Nisha works twice as fast as Kavya. Together they finish a job in 10 days. How many days would Kavya take alone?

Answer key

  1. 21
  2. 4
  3. 36
  4. 30/13
  5. 18
  6. 24
  7. 12
  8. 24/143
  9. 126/23
  10. 30/11
  11. 7/20
  12. 19/70
  13. 12
  14. 6
  15. 30
  16. 2
  17. 7/45
  18. 5
  19. 9
  20. 4
  21. 60/17
  22. 2
  23. 114/25
  24. 36
  25. 42/13
  26. 85/22
  27. 9
  28. 33/272
  29. 24
  30. 3
  31. 36
  32. 18/77
  33. 6
  34. 21
  35. 28/187
  36. 28/171
  37. 30
  38. 25/63
  39. 34/285
  40. 30

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