Question 1185541
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Cindy travels for 40 minutes, or 2/3 of an hour, before Claire starts.  The distance Cindy travels in those 2/3 of an hour at 108km/h is (2/3)*108 = 72km.<br>
So at the time Claire starts, she has to drive 72km farther than Cindy to catch up to Cindy.<br>
Claire is traveling at a speed that is 16km/h faster than Cindy.<br>
The number of hours it takes Claire to catch up to Cindy is the difference in the distances the two need to travel, divided by the difference in their speeds.<br>
72/16 = 9/2 = 4 1/2 hours.<br>
So Claire traveled for 4 1/2 hours at 124km/h towards B, a distance of 558km.  Since the distance from A to B is 600km, they were 600-558=42km from B when Claire caught up to Cindy.<br>
ANSWERS:
It took Claire 4 1/2 hours to catch up to Cindy.
They were 42km from B when Claire caught up to Cindy.<br>