Math CentralQuandaries & Queries


Question from akiri:

Jack and Kate set off in their cars from the same point to travel the same journey. Jack has a start of eight minutes before Katie sets off. If Jack travels at 50mph and Katie travels at 75mph, how many miles will be travelled when the two cars are level?

Hi Akiri,

Jack travels at 50 miles per hour for 8 minutes, which is $\large \frac{8}{60}$ hours. How far does he go in this time?

Kate travels at 25 miles per hour faster than Jack. How long does it take her to make up the distance to Jack's car? (Why is it that its only the difference in their speeds that is important? Look at Harley's response to an earlier question.)

How far does she travel in that time?

I hope this helps,

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