Prakash has done 1/3rd of a job in 20 days, Jagan completes the rest of the job in 10 days. In how many days can they together do the job?
Question
Prakash has done 1/3rd of a job in 20 days, Jagan completes the rest of the job in 10 days. In how many days can they together do the job?
Solution
Step 1: Determine how much of the job each person can do in one day.
Prakash does 1/3 of the job in 20 days, so in one day, he does 1/3 ÷ 20 = 1/60 of the job.
Jagan does the remaining 2/3 of the job in 10 days, so in one day, he does 2/3 ÷ 10 = 2/30 = 1/15 of the job.
Step 2: Add up the amount of the job they can do together in one day.
Together, they can do 1/60 + 1/15 = 1/12 of the job in one day.
Step 3: Determine how many days it would take them to complete the job together.
If they can do 1/12 of the job in one day, then it would take them 12 days to complete the job together.
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