Question

Albert and ben live in cities that are 240 miles apart. for a weekend excursion, they agree to meet at the midpoint between their cities. albert drives 40 mph. ben wakes up late and leaves 40 min later than albert. how fast must he drive for them to arrive simultaneously?

Answer 1

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
`120 miles ((240)/(2))`.

Since Albert travels at 40mph, he will take
`3 hours ((120)/(40))` 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
`3 - (40)/(60) = 2.33333 hours`

So, he must travel at a speed of
`(120)/(2.33333) = 51.43` miles per hour in order to reach the midpoint at the same time as Albert.