Question
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
Upstudy AI Solution
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.
Answered by UpStudy AI and reviewed by a Professional Tutor
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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.