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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 475 · 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 works twice as fast as Nisha. Together they finish a job in 2 days. How many days would Nisha take alone?
  2. 2.Saanvi can finish a job in 12 days and Ishaan in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Arjun can finish a job in 14 days and Kabir in 7 days. Arjun works alone for 4 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  4. 4.Saanvi can finish a job in 6 days and Tara in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Meera can finish a job in 8 days and Aarav in 4 days. Meera works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  6. 6.Ananya can finish a job in 10 days and Arjun in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Isha works twice as fast as Priya. Together they finish a job in 11 days. How many days would Priya take alone?
  8. 8.Meera can finish a job in 2 days and Pooja in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Arjun and Karan together finish a job in 7 days. Arjun alone takes 8 days. How many days would Karan take alone?
  10. 10.Karan can finish a job in 4 days and Rahul in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Tara and Pooja together finish a job in 2 days. Tara alone takes 3 days. How many days would Pooja take alone?
  12. 12.Arjun can finish a job in 7 days and Kavya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Ananya and Kavya together finish a job in 12 days. Ananya alone takes 24 days. How many days would Kavya take alone?
  14. 14.Tara can finish a job in 20 days and Rahul in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Farhan and Arjun together finish a job in 6 days. Farhan alone takes 7 days. How many days would Arjun take alone?
  16. 16.Pooja can finish a job in 15 days and Isha in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  17. 17.Ananya works three times as fast as Sneha. Together they finish a job in 3 days. How many days would Sneha take alone?
  18. 18.Vivaan can finish a job in 15 days and Aditya in 10 days. Vivaan works alone for 12 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  19. 19.Isha works twice as fast as Pooja. Together they finish a job in 5 days. How many days would Pooja take alone?
  20. 20.Meera can finish a job in 4 days and Kabir in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Diya can finish a job in 7 days and Karan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Arjun works twice as fast as Isha. Together they finish a job in 4 days. How many days would Isha take alone?
  23. 23.Aarav can finish a job in 6 days and Diya in 10 days. Aarav works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  24. 24.Manav and Diya together finish a job in 12 days. Manav alone takes 15 days. How many days would Diya take alone?
  25. 25.Aditya works three times as fast as Aarav. Together they finish a job in 4 days. How many days would Aarav take alone?
  26. 26.Manav can finish a job in 11 days and Sneha in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Zoya can finish a job in 14 days and Nisha in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Ananya can finish a job in 6 days and Zoya in 18 days. Ananya works alone for 4 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  29. 29.Priya can finish a job in 30 days and Kabir in 16 days. Priya works alone for 15 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  30. 30.Aarav can finish a job in 11 days and Kavya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Rohan can finish a job in 13 days and Aarav in 19 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 15 days and Tara in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  33. 33.Sneha can finish a job in 12 days and Saanvi in 6 days. Sneha works alone for 8 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  34. 34.Kavya can finish a job in 18 days and Sneha in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Saanvi can finish a job in 4 days and Kabir in 18 days. Saanvi works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  36. 36.Rohan can finish a job in 19 days and Rahul in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Tara and Aditya together finish a job in 5 days. Tara alone takes 10 days. How many days would Aditya take alone?
  38. 38.Rohan works twice as fast as Karan. Together they finish a job in 7 days. How many days would Karan take alone?
  39. 39.Zoya works twice as fast as Sneha. Together they finish a job in 8 days. How many days would Sneha take alone?
  40. 40.Zoya can finish a job in 12 days and Manav in 20 days. Zoya works alone for 3 days and then stops. Manav finishes the rest. How many days does Manav take?

Answer key

  1. 6
  2. 17/60
  3. 5
  4. 102/23
  5. 3
  6. 10/3
  7. 33
  8. 5/3
  9. 56
  10. 28/9
  11. 6
  12. 22/105
  13. 24
  14. 1/4
  15. 42
  16. 11/30
  17. 12
  18. 2
  19. 15
  20. 36/11
  21. 84/19
  22. 12
  23. 5
  24. 60
  25. 16
  26. 99/20
  27. 140/17
  28. 6
  29. 8
  30. 44/15
  31. 247/32
  32. 23/40
  33. 2
  34. 180/19
  35. 9
  36. 34/285
  37. 10
  38. 21
  39. 24
  40. 15

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