Two airplanes leave Chicago's O'Hare International Airport at the same time and fly in opposite directions. How far apart are the planes after $\frac { 1 } { 3 }$ hours if their average speeds are 450 miles per hour and 580 miles per hour? Round your answer to two decimal places.

A) $2, 403.33$ miles
B) $1, 353.33$ miles
C) $2, 060.00$ miles
D) $1, 050.00$ miles
E) $1, 030.00$ miles

Question

Two airplanes leave Chicago's O'Hare International Airport at the same time and fly in opposite directions. How far apart are the planes after

\frac { 1 } { 3 }

hours if their average speeds are 450 miles per hour and 580 miles per hour? Round your answer to two decimal places.

A)

2, 403.33

miles
B)

1, 353.33

miles
C)

2, 060.00

miles
D)

1, 050.00

miles
E)

1, 030.00

miles

Tyree Holliman · Accepted Answer

Final Answer : A, Explanation :   To find the total distance between the planes, add the distances each plane travels. The first plane travels   450 × 2 1 3 450 	imes 2\frac{1}{3} 450 × 2 3 1 ​   miles, and the second plane travels   580 × 2 1 3 580 	imes 2\frac{1}{3} 580 × 2 3 1 ​   miles. The total distance is   450 × 7 3 + 580 × 7 3 = 1050 + 1353.33 = 2403.33 450 	imes \frac{7}{3} + 580 	imes \frac{7}{3} = 1050 + 1353.33 = 2403.33 450 × 3 7 ​ + 580 × 3 7 ​ = 1050 + 1353.33 = 2403.33   miles.

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