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Julio went on his first aeroplane ride. The plane was flying at 600 kilometres per hour relative to the surrounding air. The wind was moving the surrounding air backward relative to the
ground below at 30 kilometres per hour. Julio was walking forward to the front of the aeroplane at 2 kilometres per hour. Julio wondered how fast he was moving relative to the ground.
below.
Which number sentence correctly shows the speed in kilometres per hour, S, at which Julio is moving relative to the ground?
0
OS=60030 - 2
Os = 60030 + 2
OS 600 - 30 - 2
OS-600: 30+ 2
9:00
O
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User Niyasc
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1 Answer

4 votes

Final answer:

Julio's speed relative to the ground is the sum of the plane's speed and his walking speed minus the wind's speed moving backward, resulting in 572 kilometres per hour.

Step-by-step explanation:

To determine how fast Julio is moving relative to the ground during his airplane ride, we need to account for three different velocities: the speed of the plane relative to the air, the speed of the wind relative to the ground, and Julio's walking speed inside the plane. The correct number sentence to calculate Julio's speed relative to the ground, S, sums those speeds considering their directions. The plane's speed and Julio's walking speed are in the same direction (forward), while the wind is moving backward (opposite direction).

Therefore, the correct expression is:

S = 600 + 2 - 30

To find Julio's speed relative to the ground, we need to consider the different speeds involved. The plane's speed relative to the air is 600 km/hr, the wind's speed relative to the ground is -30 km/hr (since it's moving backward), and Julio's walking speed is 2 km/hr forward. We can add these speeds to find Julio's speed relative to the ground:

Speed relative to the air: 600 km/hr

Speed of the wind relative to the ground: -30 km/hr (-30 km/hr backward)

Julio's walking speed: 2 km/hr forwardThis calculation reflects that Julio moves forward at the speed of the plane plus his walking speed, and we subtract the wind's speed moving backward. Thus, Julio's speed S relative to the ground is 572 kilometres per hour.

User Tunds
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