Question 1199233
<font color=black size=3>
The time gap from 4:20 PM to 5:00 PM is 40 minutes.
Think of it like 60-20 = 40.


40 min = 40/60 = 2/3 of an hour


Bob got 2/3 of an hour head start.


x = time Joe has been on the road
x+(2/3) = time Bob has been on the road
Time values are in hours


Let's set up Joe's equation
distance = rate*time
distance = 124*x


And do the same for Bob
distance = rate*time
distance = 108(x+2/3)
distance = 108x+108*(2/3)
distance = 108x+72
Each distance is in kilometers.


The two men will meet when they travel the same distance.
Bob's distance = Joe's distance
108x+72 = 124x
72 = 124x-108x
72 = 16x
x = 72/16
x = 4.5
That's one possible way to write the final answer


We can do a conversion like this
4.5 hours = 4 hr + 0.5 hr
4.5 hours = 4 hr + (60*0.5) min
4.5 hours = 4 hr + 30 min
or
4.5 hours = (60*4.5) min
4.5 hours = 270 min


There are a few ways you can express the answer.



Extra info:
5:00 PM + (4 hr + 30 min) = 5:00 PM + 4:30 = 9:30 PM
Joe will meet with Bob at 9:30 PM


We can think of it like this
<pre>
 5:00
+4:30
------
 9:30
</pre>


--------------------------------------------------------
--------------------------------------------------------


Answer:<ul><li>4.5 hours</li><li>4 hrs + 30 min</li><li>270 minutes</li></ul>Pick one of those three.
</font>