Time and Work Worksheet
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.Aditya can finish a job in 8 days and Rahul in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 2.Rohan can finish a job in 6 days and Karan in 19 days. What fraction of the job do they finish if they work together for 2 days? =
- 3.Sneha can finish a job in 18 days and Aditya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 4.Zoya works twice as fast as Karan. Together they finish a job in 6 days. How many days would Karan take alone?
- 5.Karan works twice as fast as Zoya. Together they finish a job in 4 days. How many days would Zoya take alone?
- 6.Manav can finish a job in 17 days and Rahul in 11 days. What fraction of the job do they finish if they work together for 1 day? =
- 7.Arjun can finish a job in 4 days and Manav in 8 days. Arjun works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
- 8.Rohan can finish a job in 4 days and Manav in 28 days. Rohan works alone for 1 day and then stops. Manav finishes the rest. How many days does Manav take?
- 9.Ishaan can finish a job in 18 days and Dev in 6 days. Ishaan works alone for 6 days and then stops. Dev finishes the rest. How many days does Dev take?
- 10.Vivaan works three times as fast as Kavya. Together they finish a job in 3 days. How many days would Kavya take alone?
- 11.Vivaan can finish a job in 8 days and Ananya in 24 days. Vivaan works alone for 6 days and then stops. Ananya finishes the rest. How many days does Ananya take?
- 12.Saanvi and Pooja together finish a job in 3 days. Saanvi alone takes 6 days. How many days would Pooja take alone?
- 13.Isha and Pooja together finish a job in 18 days. Isha alone takes 30 days. How many days would Pooja take alone?
- 14.Manav can finish a job in 18 days and Priya in 14 days. What fraction of the job do they finish if they work together for 3 days? =
- 15.Vivaan and Manav together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Manav take alone?
- 16.Rohan can finish a job in 10 days and Farhan in 22 days. Rohan works alone for 5 days and then stops. Farhan finishes the rest. How many days does Farhan take?
- 17.Karan can finish a job in 17 days and Diya in 4 days. What fraction of the job do they finish if they work together for 1 day? =
- 18.Meera works three times as fast as Priya. Together they finish a job in 12 days. How many days would Priya take alone?
- 19.Ananya and Rahul together finish a job in 2 days. Ananya alone takes 6 days. How many days would Rahul take alone?
- 20.Meera and Kabir together finish a job in 4 days. Meera alone takes 5 days. How many days would Kabir take alone?
- 21.Arjun can finish a job in 8 days and Manav in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 22.Sneha works twice as fast as Pooja. Together they finish a job in 8 days. How many days would Pooja take alone?
- 23.Kavya works twice as fast as Aarav. Together they finish a job in 9 days. How many days would Aarav take alone?
- 24.Ishaan and Arjun together finish a job in 2 days. Ishaan alone takes 3 days. How many days would Arjun take alone?
- 25.Arjun can finish a job in 7 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 2 days? =
- 26.Meera works twice as fast as Kavya. Together they finish a job in 11 days. How many days would Kavya take alone?
- 27.Ishaan can finish a job in 6 days and Diya in 14 days. Ishaan works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
- 28.Ananya can finish a job in 15 days and Kavya in 6 days. Ananya works alone for 10 days and then stops. Kavya finishes the rest. How many days does Kavya take?
- 29.Ishaan and Manav together finish a job in 6 days. Ishaan alone takes 7 days. How many days would Manav take alone?
- 30.Rahul can finish a job in 15 days and Priya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 31.Rahul can finish a job in 16 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. =
- 32.Saanvi works twice as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
- 33.Pooja works three times as fast as Meera. Together they finish a job in 3 days. How many days would Meera take alone?
- 34.Meera can finish a job in 3 days and Vivaan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 35.Kabir can finish a job in 8 days and Rohan in 20 days. What fraction of the job do they finish if they work together for 2 days? =
- 36.Tara can finish a job in 3 days and Priya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 37.Priya can finish a job in 17 days and Rohan in 5 days. What fraction of the job do they finish if they work together for 3 days? =
- 38.Farhan can finish a job in 16 days and Tara in 20 days. Farhan works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
- 39.Dev works twice as fast as Rahul. Together they finish a job in 4 days. How many days would Rahul take alone?
- 40.Karan can finish a job in 30 days and Kabir in 12 days. Karan works alone for 20 days and then stops. Kabir finishes the rest. How many days does Kabir take?
Answer key
- 16/3
- 25/57
- 45/7
- 18
- 12
- 28/187
- 4
- 21
- 4
- 12
- 6
- 6
- 45
- 8/21
- 6
- 11
- 21/68
- 48
- 3
- 20
- 24/5
- 24
- 27
- 6
- 44/105
- 33
- 7
- 2
- 42
- 5/2
- 80/13
- 15
- 12
- 15/8
- 7/20
- 5/2
- 66/85
- 15
- 12
- 4
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