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A jet plane traveling at 400 mph overtakes a propeller plane traveling at 250 mph that had a 4​-hour head start. How far from the starting point are the​ planes?

1 Answer

2 votes

Answer:The distance from the starting point can be calculated by first determining the time it takes for the jet plane to catch up to the propeller plane.

Since the jet plane is traveling faster than the propeller plane, it will eventually catch up to it. The time it takes for the jet plane to catch up is equal to the time it takes for the propeller plane to travel the distance it had ahead.

To find this time, we can use the formula:

Time = Distance / Speed

The distance traveled by the propeller plane can be calculated by multiplying its speed (250 mph) by the time it had ahead (4 hours):

Distance traveled by propeller plane = Speed * Time = 250 mph * 4 hours = 1000 miles

Now that we know the distance traveled by the propeller plane, we can find the time it takes for the jet plane to catch up:

Time = Distance / Speed = 1000 miles / (400 mph - 250 mph) = 1000 miles / 150 mph = 6.67 hours (rounded to two decimal places)

Therefore, it takes approximately 6.67 hours for the jet plane to catch up to the propeller plane.

To find the distance from the starting point, we can multiply the speed of the jet plane (400 mph) by the time it takes to catch up:

Distance from the starting point = Speed * Time = 400 mph * 6.67 hours = 2,668.67 miles (rounded to two decimal places)

Therefore, the planes are approximately 2,668.67 miles from the starting point.

answered
User Bwbecker
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