Answer:
11 hours
Step-by-step explanation:
John's velocity: 15mph
Tim's velocity: 22mph
in one hour of driving John will be 15 miles away from the starting point, and Tim will be 22 miles away from the starting point.
Thus, after one hour they will be
15 + 22 = 37 miles apart.
We can represent this on the following table:
Distance(miles) time (hours)
37 ⇔ 1
And since we need to know the time when they are at a distance of 407 miles:
Distance(miles) time (hours)
37 ⇔ 1
407 ⇔ x
where x represnts the time
we solve this problem using rule of three: multiply the cross quantities on the table (407 and 1) and divide by the remaining amount (37):
x = 407*1/37
x = 407/37
x = 11
it will take 11 hours for them to be 407 miles apart.
