Two airplanes are 300 miles apart and
flying towards each other. One is flying at
200 miles per hour and the other is flying at
160 miles per hour. How long will it take for
the two planes to meet?
A. 36 minutes
B. 50 minutes
C. 1hr and 12 minutes
D. 1hr 20 minutes
To find the time it will take for the two planes to meet, we need to divide the distance between them by the combined speed of the two planes.
The first plane is flying at 200 miles per hour and the second plane is flying at 160 miles per hour. Therefore, the combined speed of the two planes is 200 + 160 = 360 miles per hour.
The distance between the two planes is 300 miles.
To find the time it will take for the two planes to meet, we divide the distance by the combined speed:
Time = Distance / Speed
Time = 300 miles / 360 miles per hour
Simplifying, we get:
Time = 5/6 hours
To convert this to minutes, we multiply by 60:
Time = 5/6 * 60 minutes
Time = 50 minutes
Therefore, it will take the two planes 50 minutes to meet.
The correct answer is B. 50 minutes.
To find the time it takes for the two planes to meet, we can use the formula: time = distance / rate.
Let's calculate the time it takes for each plane to reach the meeting point:
Plane 1 (200 mph):
distance = rate * time
300 miles = 200 mph * time
time = 300 miles / 200 mph
time = 1.5 hours
Plane 2 (160 mph):
distance = rate * time
300 miles = 160 mph * time
time = 300 miles / 160 mph
time = 1.875 hours
Since we are looking for the time it takes for the two planes to meet, we can take the average of the two times:
average time = (1.5 hours + 1.875 hours) / 2
average time = 3.375 hours / 2
average time = 1.6875 hours
Now, let's convert the average time to minutes:
1 hour = 60 minutes
0.6875 hours = 0.6875 * 60 minutes
0.6875 hours = 41.25 minutes
Therefore, the two planes will meet in approximately 1 hour and 41.25 minutes.
Among the given options, the closest answer is B. 50 minutes.