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.Pooja works twice as fast as Arjun. Together they finish a job in 3 days. How many days would Arjun take alone?
- 2.Rohan works three times as fast as Arjun. Together they finish a job in 4 days. How many days would Arjun take alone?
- 3.Rohan can finish a job in 25 days and Arjun in 5 days. Rohan works alone for 20 days and then stops. Arjun finishes the rest. How many days does Arjun take?
- 4.Aditya can finish a job in 13 days and Kavya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 5.Pooja can finish a job in 19 days and Kabir in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 6.Kavya can finish a job in 15 days and Kabir in 18 days. Kavya works alone for 10 days and then stops. Kabir finishes the rest. How many days does Kabir take?
- 7.Ishaan can finish a job in 18 days and Kabir in 24 days. Ishaan works alone for 6 days and then stops. Kabir finishes the rest. How many days does Kabir take?
- 8.Rahul can finish a job in 20 days and Meera in 9 days. What fraction of the job do they finish if they work together for 1 day? =
- 9.Karan can finish a job in 27 days and Priya in 21 days. Karan works alone for 18 days and then stops. Priya finishes the rest. How many days does Priya take?
- 10.Priya can finish a job in 8 days and Aarav in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 11.Meera can finish a job in 19 days and Kabir in 14 days. What fraction of the job do they finish if they work together for 3 days? =
- 12.Rahul can finish a job in 3 days and Kabir in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 13.Meera can finish a job in 4 days and Aditya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 14.Priya works three times as fast as Kavya. Together they finish a job in 12 days. How many days would Kavya take alone?
- 15.Karan can finish a job in 2 days and Vivaan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 16.Aarav works three times as fast as Pooja. Together they finish a job in 6 days. How many days would Pooja take alone?
- 17.Farhan can finish a job in 15 days and Ananya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 18.Ananya can finish a job in 12 days and Meera in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 19.Pooja can finish a job in 5 days and Kabir in 20 days. What fraction of the job do they finish if they work together for 3 days? =
- 20.Zoya can finish a job in 24 days and Dev in 6 days. Zoya works alone for 20 days and then stops. Dev finishes the rest. How many days does Dev take?
- 21.Kavya and Sneha together finish a job in 2 days. Kavya alone takes 4 days. How many days would Sneha take alone?
- 22.Arjun can finish a job in 15 days and Tara in 16 days. What fraction of the job do they finish if they work together for 1 day? =
- 23.Meera can finish a job in 10 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. =
- 24.Manav and Ananya together finish a job in 6 days. Manav alone takes 12 days. How many days would Ananya take alone?
- 25.Manav can finish a job in 6 days and Rahul in 12 days. Manav works alone for 5 days and then stops. Rahul finishes the rest. How many days does Rahul take?
- 26.Meera and Manav together finish a job in 2 days. Meera alone takes 3 days. How many days would Manav take alone?
- 27.Kavya and Aarav together finish a job in 2 days. Kavya alone takes 3 days. How many days would Aarav take alone?
- 28.Aditya can finish a job in 11 days and Rahul in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 29.Arjun 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 3 days? =
- 30.Farhan and Kabir together finish a job in 2 days. Farhan alone takes 3 days. How many days would Kabir take alone?
- 31.Farhan can finish a job in 4 days and Rohan in 22 days. Farhan works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?
- 32.Farhan and Isha together finish a job in 6 days. Farhan alone takes 8 days. How many days would Isha take alone?
- 33.Aditya can finish a job in 15 days and Dev in 5 days. Aditya works alone for 9 days and then stops. Dev finishes the rest. How many days does Dev take?
- 34.Sneha can finish a job in 6 days and Nisha in 26 days. Sneha works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
- 35.Ananya can finish a job in 5 days and Ishaan in 7 days. What fraction of the job do they finish if they work together for 1 day? =
- 36.Sneha can finish a job in 9 days and Farhan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 37.Karan can finish a job in 17 days and Sneha in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 38.Dev can finish a job in 17 days and Sneha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 39.Farhan works twice as fast as Diya. Together they finish a job in 7 days. How many days would Diya take alone?
- 40.Aditya and Meera together finish a job in 12 days. Aditya alone takes 21 days. How many days would Meera take alone?
Answer key
- 9
- 16
- 1
- 52/17
- 57/22
- 6
- 16
- 29/180
- 7
- 24/5
- 99/266
- 9/4
- 28/11
- 48
- 5/3
- 24
- 6
- 12/5
- 3/4
- 1
- 4
- 31/240
- 130/23
- 12
- 2
- 6
- 6
- 44/15
- 84/187
- 6
- 11
- 24
- 2
- 13
- 12/35
- 36/13
- 153/26
- 272/33
- 21
- 28
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