Two planes are flying from San Francisco to Chicago, a distance of 1,800 miles. They leave San Francisco at this same time period after 30 minutes, one plane has traveled 25 more miles than the other plane. How much longer will it take the slower plane to get to Chicago then the faster plane if the faster plane is traveling at 500 miles per hour

Answer: the slower plane will get to Chicago in 24 minutes after the faster plane had gotten there.

Step-by-step explanation:

Distance = speed * time

They leave San Francisco at the same time period and after 30 minutes (0.5 hours), the faster plane has traveled 25 more miles than the other plane. if the faster plane is traveling at 500 miles per hour, it means that the distance covered by the faster plane in 0.5 hour is

500 * 0.5 = 250 miles

Since the faster plane travelled 25 more miles after 0.5 hour, it means that the distance covered by the slower plane in 0.5 hour is

250 - 25 = 225 miles

Speed = distance/time

Speed of the slower plane

= 225/0.5 = 450 mph

Time = distance / speed

Since the total distance from San Francisco to Chicago is 1800 miles, the time it will take the faster plane to travel 1800 miles is

1800/500 = 3.6 hours

the time it will take the slower plane to travel 1800 miles is

1800/450 = 4 hours

The difference in time between both planes is

4 - 3.6 = 0.4 hour

0.4 * 60 = 24 minutes