Question 159748
Presuming that both boys passed the same lemonade stand, since 12 minutes is {{{1/5}}} hour, Paul will be 1 mile ahead of John when John passes the stand.  John is travelling 2 miles per hour faster than Paul, so the question becomes how long would it take to go 1 mile at 2 miles per hour.  1 mile/2 mph = {{{1/2}}} hour, or 30 minutes.  12:12 PM plus 30 minutes is 12:42.  Paul is already 1 mile past the stand and still travelling 5 mph, so 30 minutes later he will have travelled an additional {{{5mph*(1/2)hour=2.5mi}}}.  Hence John will catch Paul 3.5 miles past the lemonade stand.