Question 1179401
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The formal algebraic solutions shown by the other tutors, using standard algebraic techniques for solving "working together" problems, are fine -- except the one with the arithmetic error!<br>
But the numbers in this problem make a quick informal solution easy, and faster than the formal algebraic solution.<br>
The time working together, 5 1/3 hours, is exactly one-third of the time for Steven working alone.<br>
That means working together is like having three Stevens working; and that means Peter is like two Stevens.<br>
Since Peter is like two Stevens, he can do the job alone in half the time it takes Steven alone.<br>
ANSWER: half of 16 hours, which is 8 hours.<br>