Question 204655

Since it takes 1 hour to get to the airport, at a speed of 45 mph, it follows that the distance from the hotel to the airport is 45 miles.


When the truck gets to the half way point, it has traveled 22.5 miles, and for {{{1/2}}} hour. Therefore, it has to travel for another {{{1/2}}} hour to get to the airport.


Since at the {{{1/2}}} way point, the truck has to travel another {{{1/2}}} hour to get to the airport, then the taxi will also travel for {{{1/2}}} hour.


Since the taxi’s speed is 50 mph, and it will take {{{1/2}}} hour to get to a specific point, at which time the truck would’ve reached the airport, then the distance traveled by the taxi, at 50 mph, and traveling for {{{1/2}}} hour would be: {{{50*(1/2)}}}, which equals 25 miles.


Now, since by the time the truck gets to the airport, the taxi has traveled 25 miles, and since the distance to the airport is 45 miles, it follows that the taxi will be {{{highlight_green(20)}}} (45 – 25) miles from the airport when the truck reaches the airport.