How Many Days will Finish The Project ?

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Karan, Kabir and Kartik can together finish a project in 4 days. Karan by himself can do it in 12 days and Kabir by himself can do it in 10 days. How many days will Kartik take to finish the Project alone?

  1. 15
  2. 13
  3. 14
  4. 10
Anurag Mishra Professor Asked on 1st August 2015 in Maths.
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Answer: (1) 15 days
Explanation:
Karan, Kabir and Kartik can together finish a project  =  4 days
Karan, Kabir  and Kartik can together work in a day = 1/4

Karan can finish it project = 12 days
Karan can do work in a day = 1/12

Kabir can finish it project = 10 days
Kabir can do work in a day = 1/10

karan  &  Kabir can do work in same day = 1/12 + 1/10
= (10 + 12)/120
= 22/120
= 11/60

Kartik can work in a day = 1/ 4- 11/60
= (60 – 44)/240
= 16/240
= 2/30
= 1/15
Therefore, Kartik can finish the project = 15 days.
Hence, the answer is (1) 15 days.

Anurag Mishra Professor Answered on 1st August 2015.
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