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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 257 · 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.Priya can finish a job in 16 days and Ananya in 28 days. Priya works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  2. 2.Tara can finish a job in 6 days and Diya in 10 days. Tara works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  3. 3.Sneha can finish a job in 5 days and Isha in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Kavya can finish a job in 6 days and Isha in 22 days. Kavya works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
  5. 5.Isha can finish a job in 5 days and Rohan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Arjun works twice as fast as Tara. Together they finish a job in 5 days. How many days would Tara take alone?
  7. 7.Diya can finish a job in 6 days and Nisha in 30 days. Diya works alone for 1 day and then stops. Nisha finishes the rest. How many days does Nisha take?
  8. 8.Meera works three times as fast as Ananya. Together they finish a job in 3 days. How many days would Ananya take alone?
  9. 9.Kavya and Sneha together finish a job in 2 days. Kavya alone takes 4 days. How many days would Sneha take alone?
  10. 10.Kavya and Pooja together finish a job in 4 days. Kavya alone takes 5 days. How many days would Pooja take alone?
  11. 11.Meera can finish a job in 20 days and Vivaan in 16 days. Meera works alone for 15 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  12. 12.Saanvi works three times as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?
  13. 13.Aarav and Vivaan together finish a job in 8 days. Aarav alone takes 10 days. How many days would Vivaan take alone?
  14. 14.Dev can finish a job in 15 days and Manav in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Dev can finish a job in 7 days and Priya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Nisha can finish a job in 6 days and Manav in 12 days. Nisha works alone for 3 days and then stops. Manav finishes the rest. How many days does Manav take?
  17. 17.Karan can finish a job in 20 days and Aarav in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  18. 18.Priya works three times as fast as Kavya. Together they finish a job in 9 days. How many days would Kavya take alone?
  19. 19.Dev can finish a job in 30 days and Tara in 12 days. Dev works alone for 20 days and then stops. Tara finishes the rest. How many days does Tara take?
  20. 20.Zoya can finish a job in 15 days and Saanvi in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Kabir and Priya together finish a job in 6 days. Kabir alone takes 24 days. How many days would Priya take alone?
  22. 22.Kavya and Zoya together finish a job in 6 days. Kavya alone takes 12 days. How many days would Zoya take alone?
  23. 23.Aarav can finish a job in 3 days and Aditya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Aditya can finish a job in 11 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. =
  25. 25.Saanvi works three times as fast as Kavya. Together they finish a job in 7 days. How many days would Kavya take alone?
  26. 26.Aditya can finish a job in 4 days and Vivaan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Kavya works three times as fast as Ananya. Together they finish a job in 9 days. How many days would Ananya take alone?
  28. 28.Kabir and Meera together finish a job in 10 days. Kabir alone takes 14 days. How many days would Meera take alone?
  29. 29.Rahul can finish a job in 18 days and Aditya in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  30. 30.Manav can finish a job in 5 days and Rahul in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Saanvi can finish a job in 15 days and Rahul in 30 days. Saanvi works alone for 12 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  32. 32.Ananya can finish a job in 14 days and Aditya in 10 days. Ananya works alone for 7 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  33. 33.Aarav can finish a job in 14 days and Isha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Sneha can finish a job in 5 days and Saanvi in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  35. 35.Sneha can finish a job in 15 days and Kabir in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Pooja can finish a job in 7 days and Manav in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Nisha can finish a job in 16 days and Karan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Ishaan can finish a job in 4 days and Isha in 28 days. Ishaan works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
  39. 39.Kabir can finish a job in 17 days and Priya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Arjun can finish a job in 2 days and Nisha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 21
  2. 5
  3. 15/4
  4. 11
  5. 35/12
  6. 15
  7. 25
  8. 12
  9. 4
  10. 20
  11. 4
  12. 12
  13. 40
  14. 45/8
  15. 14/3
  16. 6
  17. 27/70
  18. 36
  19. 4
  20. 4/15
  21. 8
  22. 12
  23. 57/22
  24. 66/17
  25. 28
  26. 36/11
  27. 36
  28. 35
  29. 35/153
  30. 85/22
  31. 6
  32. 5
  33. 28/9
  34. 1/2
  35. 4/15
  36. 133/26
  37. 16/9
  38. 7
  39. 119/24
  40. 22/13

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