Question
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A migrating bird flew 18 km at an average speed of \( 4 \mathrm{~m} / \mathrm{s} \). Find the time, in hours and minutes, it took to fly this distance.

Ask by Wagner Gray. in Singapore
Mar 09,2025

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Tutor-Verified Answer

Answer

The bird took 1 hour and 15 minutes to fly 18 km at an average speed of 4 m/s.

Solution

1. Convert the distance from kilometers to meters: \[ 18 \text{ km} = 18 \times 1000 = 18000 \text{ m} \] 2. Use the formula for time: \[ t = \frac{\text{distance}}{\text{speed}} = \frac{18000 \text{ m}}{4 \text{ m/s}} = 4500 \text{ s} \] 3. Convert seconds to minutes: \[ 4500 \text{ s} = \frac{4500}{60} = 75 \text{ minutes} \] 4. Express 75 minutes in hours and minutes: \[ 75 \text{ minutes} = 1 \text{ hour} \, 15 \text{ minutes} \] Thus, the bird took \( 1 \) hour and \( 15 \) minutes to fly the distance.

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The Deep Dive

To find the time taken to fly 18 km at an average speed of 4 m/s, we can use the formula: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}}. \] First, we need to convert 18 km to meters: 18 km = 18,000 meters. Now we plug in the values: \[ \text{Time} = \frac{18000 \text{ m}}{4 \text{ m/s}} = 4500 \text{ seconds}. \] To convert seconds into hours and minutes, we divide by 3600 (the number of seconds in an hour): 4500 seconds ÷ 3600 seconds/hour = 1.25 hours. This means it took the bird 1 hour and 15 minutes to fly 18 km.

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