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.Saanvi works twice as fast as Manav. Together they finish a job in 7 days. How many days would Manav take alone?
- 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.Dev works three times as fast as Tara. Together they finish a job in 9 days. How many days would Tara take alone?
- 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.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.Farhan works twice as fast as Karan. Together they finish a job in 8 days. How many days would Karan take alone?
- 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.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.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.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.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.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.Rahul works twice as fast as Diya. Together they finish a job in 4 days. How many days would Diya take alone?
- 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.Zoya works twice as fast as Pooja. Together they finish a job in 10 days. How many days would Pooja take alone?
- 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.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.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.Farhan works twice as fast as Pooja. Together they finish a job in 3 days. How many days would Pooja take alone?
- 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.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.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.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.Rahul works twice as fast as Aarav. Together they finish a job in 12 days. How many days would Aarav take alone?
- 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.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.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.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.Vivaan works twice as fast as Saanvi. Together they finish a job in 8 days. How many days would Saanvi take alone?
- 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.Aarav works three times as fast as Sneha. Together they finish a job in 9 days. How many days would Sneha take alone?
- 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.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.Zoya works twice as fast as Saanvi. Together they finish a job in 7 days. How many days would Saanvi take alone?
- 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.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.Karan and Kabir together finish a job in 12 days. Karan alone takes 20 days. How many days would Kabir take alone?
- 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.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.Nisha works twice as fast as Kavya. Together they finish a job in 10 days. How many days would Kavya take alone?
Answer key
- 21
- 4
- 36
- 30/13
- 18
- 24
- 12
- 24/143
- 126/23
- 30/11
- 7/20
- 19/70
- 12
- 6
- 30
- 2
- 7/45
- 5
- 9
- 4
- 60/17
- 2
- 114/25
- 36
- 42/13
- 85/22
- 9
- 33/272
- 24
- 3
- 36
- 18/77
- 6
- 21
- 28/187
- 28/171
- 30
- 25/63
- 34/285
- 30
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