Question

Rachel leaves Las Vegas heading directly east at a rate of 53 miles per hour.

Answer 1

The speed is the distance covered by an object at a particular time. It will take Max 10.6 hours to catch up with Rachel.

What is speed?

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

Speed = Distance / Time

Given that Max leaves Las Vegas one hour after Rachel leaves. Also, the speed at which Rachel is travelling is 53 miles per hour. Therefore, the distance covered by Rachel in one hour is,

Distance covered by Rachel = 1 hour ×  53 miles per hour = 53 miles

Now, the distance between Max and Rachel is 53 miles. Therefore, the time it will take Max to reach Rachel can be found as,

Time needed to catch up with Rachel = Distance / relative speed

Time = 53 miles / (58 mph - 53 mph)

         = 53 miles / 5 mph

         = 10.6 hours

Hence, it will take Max 10.6 hours to catch up with Rachel.

Learn more about Speed here:

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