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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 428 · 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.Diya can finish a job in 6 days and Vivaan in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Zoya and Ananya together finish a job in 2 days. Zoya alone takes 3 days. How many days would Ananya take alone?
  3. 3.Kabir can finish a job in 17 days and Rahul in 5 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 10 days and Dev in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Ananya works three times as fast as Manav. Together they finish a job in 7 days. How many days would Manav take alone?
  6. 6.Kabir and Rahul together finish a job in 3 days. Kabir alone takes 6 days. How many days would Rahul take alone?
  7. 7.Kavya and Vivaan together finish a job in 4 days. Kavya alone takes 6 days. How many days would Vivaan take alone?
  8. 8.Farhan works twice as fast as Saanvi. Together they finish a job in 11 days. How many days would Saanvi take alone?
  9. 9.Aarav can finish a job in 5 days and Tara in 30 days. Aarav works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
  10. 10.Aditya works twice as fast as Isha. Together they finish a job in 12 days. How many days would Isha take alone?
  11. 11.Isha can finish a job in 16 days and Ananya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Sneha can finish a job in 6 days and Aditya in 8 days. Sneha works alone for 3 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  13. 13.Zoya can finish a job in 5 days and Aarav in 30 days. Zoya works alone for 1 day and then stops. Aarav finishes the rest. How many days does Aarav take?
  14. 14.Diya can finish a job in 5 days and Meera in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Rahul works three times as fast as Ishaan. Together they finish a job in 11 days. How many days would Ishaan take alone?
  16. 16.Kabir can finish a job in 6 days and Farhan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Rahul can finish a job in 4 days and Farhan in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Aarav can finish a job in 5 days and Diya in 15 days. Aarav works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
  19. 19.Saanvi can finish a job in 6 days and Meera in 12 days. Saanvi works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
  20. 20.Ishaan can finish a job in 4 days and Farhan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Dev can finish a job in 9 days and Zoya in 30 days. Dev works alone for 6 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  22. 22.Tara can finish a job in 6 days and Kabir in 30 days. Tara works alone for 1 day and then stops. Kabir finishes the rest. How many days does Kabir take?
  23. 23.Kabir can finish a job in 25 days and Rohan in 20 days. Kabir works alone for 10 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  24. 24.Nisha works twice as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
  25. 25.Sneha and Kabir together finish a job in 20 days. Sneha alone takes 28 days. How many days would Kabir take alone?
  26. 26.Ishaan can finish a job in 4 days and Aarav in 24 days. Ishaan works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  27. 27.Zoya and Ananya together finish a job in 7 days. Zoya alone takes 8 days. How many days would Ananya take alone?
  28. 28.Dev can finish a job in 15 days and Rahul in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Karan works three times as fast as Tara. Together they finish a job in 11 days. How many days would Tara take alone?
  30. 30.Kabir and Zoya together finish a job in 2 days. Kabir alone takes 6 days. How many days would Zoya take alone?
  31. 31.Meera can finish a job in 3 days and Kabir in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Rohan can finish a job in 15 days and Diya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Aarav can finish a job in 16 days and Aditya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Isha can finish a job in 7 days and Aditya in 16 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 16 days and Manav in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Rahul can finish a job in 30 days and Kavya in 9 days. Rahul works alone for 20 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  37. 37.Rahul can finish a job in 6 days and Rohan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Vivaan can finish a job in 17 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. =
  39. 39.Meera and Saanvi together finish a job in 6 days. Meera alone takes 15 days. How many days would Saanvi take alone?
  40. 40.Rohan can finish a job in 21 days and Manav in 7 days. Rohan works alone for 3 days and then stops. Manav finishes the rest. How many days does Manav take?

Answer key

  1. 7/30
  2. 6
  3. 85/22
  4. 90/19
  5. 28
  6. 6
  7. 12
  8. 33
  9. 6
  10. 36
  11. 144/17
  12. 4
  13. 24
  14. 24/95
  15. 44
  16. 24/7
  17. 11/28
  18. 3
  19. 8
  20. 36/11
  21. 10
  22. 25
  23. 12
  24. 12
  25. 70
  26. 6
  27. 56
  28. 44/105
  29. 44
  30. 3
  31. 42/17
  32. 255/32
  33. 208/29
  34. 112/23
  35. 208/29
  36. 3
  37. 30/11
  38. 85/22
  39. 10
  40. 6

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