QuestionSeptember 12, 2026

10 Two jets leaves New York at 8:00 AM one flying east at a speed of 40 km/h greater than the other which is traveling west.At 10:00 AM the planes are 2480 km apart. Find their speeds. The speed of the jet flying west is square km/h. The speed of the jet flying east is square km/h.

10 Two jets leaves New York at 8:00 AM one flying east at a speed of 40 km/h greater than the other which is traveling west.At 10:00 AM the planes are 2480 km apart. Find their speeds. The speed of the jet flying west is square km/h. The speed of the jet flying east is square km/h.
10
Two jets leaves New York at 8:00 AM one flying east at a speed of 40
km/h greater than the other which is traveling west.At 10:00 AM the
planes are 2480 km apart. Find their speeds.
The speed of the jet flying west is square  km/h.
The speed of the jet flying east is square km/h.

Solution
4.6(146 votes)

Answer

The speed of the jet flying west is 600 km/h. ### The speed of the jet flying east is 640 km/h. Explanation 1. Define variables Let the speed of the westward jet be v km/h. Then, the speed of the eastward jet is v + 40 km/h. 2. Calculate distance traveled by each jet Time traveled is 2 hours. Distance for westward jet: 2v km. Distance for eastward jet: 2(v + 40) km. 3. Set up equation for total distance Total distance apart: 2v + 2(v + 40) = 2480. 4. Solve for v Simplify: 2v + 2v + 80 = 2480. Solve: 4v + 80 = 2480. 4v = 2400. v = 600. 5. Calculate eastward jet speed Eastward jet speed: v + 40 = 600 + 40 = 640 km/h.

Explanation

1. Define variables<br /> Let the speed of the westward jet be $v$ km/h. Then, the speed of the eastward jet is $v + 40$ km/h.<br /><br />2. Calculate distance traveled by each jet<br /> Time traveled is 2 hours. Distance for westward jet: $2v$ km. Distance for eastward jet: $2(v + 40)$ km.<br /><br />3. Set up equation for total distance<br /> Total distance apart: $2v + 2(v + 40) = 2480$.<br /><br />4. Solve for $v$<br /> Simplify: $2v + 2v + 80 = 2480$. Solve: $4v + 80 = 2480$. $4v = 2400$. $v = 600$.<br /><br />5. Calculate eastward jet speed<br /> Eastward jet speed: $v + 40 = 600 + 40 = 640$ km/h.
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