SOLUTION: Hi Cindy left A at 4.20pm travelling to B which was 600km away at 108km per hour. Claire left A at 5pm travelling at 124km per hour. How long did Claire take to catch up with

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Question 1185541: Hi
Cindy left A at 4.20pm travelling to B which was 600km away at 108km per hour.
Claire left A at 5pm travelling at 124km per hour.
How long did Claire take to catch up with Cindy.
How far away from B were they when Claire caught up with Cindy.
Thanks
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


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.

So at the time Claire starts, she has to drive 72km farther than Cindy to catch up to Cindy.

Claire is traveling at a speed that is 16km/h faster than Cindy.

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.

72/16 = 9/2 = 4 1/2 hours.

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.

ANSWERS:
It took Claire 4 1/2 hours to catch up to Cindy.
They were 42km from B when Claire caught up to Cindy.