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.Arjun can finish a job in 14 days and Vivaan in 21 days. Arjun works alone for 2 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
- 2.Aarav can finish a job in 12 days and Rohan in 11 days. What fraction of the job do they finish if they work together for 2 days? =
- 3.Isha can finish a job in 15 days and Manav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 4.Isha can finish a job in 10 days and Kavya in 9 days. What fraction of the job do they finish if they work together for 3 days? =
- 5.Arjun can finish a job in 25 days and Saanvi in 5 days. Arjun works alone for 20 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
- 6.Karan can finish a job in 10 days and Ananya in 15 days. Karan works alone for 8 days and then stops. Ananya finishes the rest. How many days does Ananya take?
- 7.Karan can finish a job in 9 days and Rohan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 8.Vivaan and Priya together finish a job in 9 days. Vivaan alone takes 12 days. How many days would Priya take alone?
- 9.Manav can finish a job in 9 days and Rahul in 14 days. What fraction of the job do they finish if they work together for 2 days? =
- 10.Priya and Pooja together finish a job in 7 days. Priya alone takes 8 days. How many days would Pooja take alone?
- 11.Kavya can finish a job in 19 days and Ishaan in 17 days. What fraction of the job do they finish if they work together for 1 day? =
- 12.Karan can finish a job in 12 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. =
- 13.Nisha and Kabir together finish a job in 2 days. Nisha alone takes 3 days. How many days would Kabir take alone?
- 14.Aditya can finish a job in 8 days and Arjun in 16 days. Aditya works alone for 5 days and then stops. Arjun finishes the rest. How many days does Arjun take?
- 15.Aarav can finish a job in 7 days and Diya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 16.Dev works twice as fast as Rohan. Together they finish a job in 10 days. How many days would Rohan take alone?
- 17.Nisha and Aditya together finish a job in 2 days. Nisha alone takes 4 days. How many days would Aditya take alone?
- 18.Pooja can finish a job in 2 days and Rahul in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 19.Kavya and Aarav together finish a job in 2 days. Kavya alone takes 4 days. How many days would Aarav take alone?
- 20.Zoya and Isha together finish a job in 6 days. Zoya alone takes 7 days. How many days would Isha take alone?
- 21.Manav and Vivaan together finish a job in 2 days. Manav alone takes 3 days. How many days would Vivaan take alone?
- 22.Rahul works twice as fast as Meera. Together they finish a job in 12 days. How many days would Meera take alone?
- 23.Priya can finish a job in 3 days and Tara in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 24.Meera can finish a job in 28 days and Zoya in 24 days. Meera works alone for 21 days and then stops. Zoya finishes the rest. How many days does Zoya take?
- 25.Diya and Aditya together finish a job in 2 days. Diya alone takes 4 days. How many days would Aditya take alone?
- 26.Rohan can finish a job in 10 days and Zoya in 25 days. Rohan works alone for 8 days and then stops. Zoya finishes the rest. How many days does Zoya take?
- 27.Rohan can finish a job in 9 days and Rahul in 13 days. What fraction of the job do they finish if they work together for 3 days? =
- 28.Isha and Kavya together finish a job in 4 days. Isha alone takes 8 days. How many days would Kavya take alone?
- 29.Sneha can finish a job in 15 days and Zoya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 30.Meera works twice as fast as Ananya. Together they finish a job in 5 days. How many days would Ananya take alone?
- 31.Karan can finish a job in 18 days and Tara in 27 days. Karan works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
- 32.Arjun can finish a job in 5 days and Tara in 25 days. Arjun works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
- 33.Vivaan can finish a job in 4 days and Aditya in 20 days. Vivaan works alone for 2 days and then stops. Aditya finishes the rest. How many days does Aditya take?
- 34.Isha can finish a job in 4 days and Meera in 22 days. Isha works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
- 35.Isha can finish a job in 14 days and Zoya in 7 days. Isha works alone for 8 days and then stops. Zoya finishes the rest. How many days does Zoya take?
- 36.Pooja works twice as fast as Nisha. Together they finish a job in 12 days. How many days would Nisha take alone?
- 37.Aarav works twice as fast as Pooja. Together they finish a job in 2 days. How many days would Pooja take alone?
- 38.Aarav and Priya together finish a job in 2 days. Aarav alone takes 3 days. How many days would Priya take alone?
- 39.Vivaan can finish a job in 5 days and Kavya in 15 days. What fraction of the job do they finish if they work together for 2 days? =
- 40.Tara can finish a job in 8 days and Rohan in 4 days. Tara works alone for 6 days and then stops. Rohan finishes the rest. How many days does Rohan take?
Answer key
- 18
- 23/66
- 30/7
- 19/30
- 1
- 3
- 45/8
- 36
- 23/63
- 56
- 36/323
- 228/31
- 6
- 6
- 91/20
- 30
- 4
- 18/11
- 4
- 42
- 6
- 36
- 21/10
- 6
- 4
- 5
- 22/39
- 8
- 60/19
- 15
- 21
- 20
- 10
- 11
- 3
- 36
- 6
- 6
- 8/15
- 1
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