SOLUTION: Lorna leaves Tyler on her moped at a rate of 24 km/h. One hour later, her roommmate Allison realizes she has forgotten her helmet and sets after her in car. How far will Allison ha

Question 9712: Lorna leaves Tyler on her moped at a rate of 24 km/h. One hour later, her roommmate Allison realizes she has forgotten her helmet and sets after her in car. How far will Allison have to drive to overtake Lorna in half an hour?

Answer by prince_abubu(198) (Show Source): You can put this solution on YOUR website!
So Lorna drives the moped at 24 kph. After one hour, she will be 24 km away from where she left. (So, Lorna has a 24 km ahead start).

At the moment Lorna reaches the 24 km mark, Allison gets in the car and drives. The problem asks for how far will Allison have to drive to catch Lorna if she has to do it in 1/2 an hour. This means that after the hour that Lorna rode the moped, she will be driving for 1/2 an hour. This would be the same 1/2 hour that Allison will try to catch up. In 1/2 an hour, Lorna would have covered another 12 km (since it's half of 24 km in 1 hour). So, at the time Allison catches up with Lorna, both of them would have traveled 36 km.
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