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Question

Difficulty: EasyRelative Motion and Catch-Up Scenarios

Two inspection drones take off from the same cellular tower at the same time and fly in opposite directions along a straight power line. Drone A flies at 1515 mph and Drone B flies at 2525 mph. How many miles apart are the two drones after 22 hours?

Answer: 80 / 80 miles / 80 mi / eighty

Answer

The drones are 80 miles apart.
Since the drones travel in opposite directions, their relative speed is the sum of their individual speeds (15+25=4015 + 25 = 40 mph). Over the course of 22 hours, the distance between them becomes 40×2=8040 \times 2 = 80 miles.

Step-by-Step Solution

1
Calculate the combined relative speed of both drones.
15+25=4015 + 25 = 40 mph
Because the drones are flying in opposite directions, the distance between them increases at a rate equal to the sum of their individual speeds.
2
Multiply the relative speed by the time traveled.
40×2=8040 \times 2 = 80 miles
Total distance is found by multiplying the relative speed by the total time (D=r×tD = r \times t).

Key Concept

Calculating separation distance for objects moving in opposite directions using relative speed.
Estimated Time:45s
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Topics

Relative Motion and Catch-Up Scenarios

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