182k views
5 votes
Peter and Steven take 5 1/3 hours to do a job. Steven alone takes 16 hours to do the same job how long would it take peter to do the same job alone?​

User Rudolfv
by
5.2k points

2 Answers

5 votes

Answer: It would take 8 hours!!

Step-by-step explanation: Hope this helps!! <3

User Alfonsoolavarria
by
4.3k points
4 votes

Answer:

Peter will complete the job in 8 hours

Explanation:

Notice that 5 1/3 hours is 16%2F3 hours.

So, their combined rate of work is 1%2F%28%2816%2F3%29%29 = 3%2F16 of the job per hour.

Steven's rate of work is 1%2F16 of the job per hour.

Hence, Peter's rate of work is the difference 3%2F16 - 1%2F16 = 2%2F16 = 1%2F8 of the job per hour.

It implies that Peter will complete the job in 8 hours, working alone.

User Kindohm
by
5.3k points