Answer: Ben must drive at a speed of 51.43 mph in order to reach the midpoint at the same time as Albert.
We follow these steps to arrive at answer:
Distance between the two cities 240 miles
Albert and Ben agree to meet at the midpoint between the two cities.
So, each of them has to travel a distance of [tex]120 miles (\frac{240}{2})[/tex].
Since Albert travels at 40mph, he will take [tex]3 hours (\frac{120}{40})[/tex] to reach the midpoint.
Ben must also reach the midpoint at the same time as Albert,but since he got up late he has to cover the 120 miles in [tex]3 - \frac{40}{60} = 2.33333 hours[/tex]
So, he must travel at a speed of [tex]\frac{120}{2.33333} = 51.43[/tex] miles per hour in order to reach the midpoint at the same time as Albert.
