Calculate Distance: Bird Flying at 250 km/h for 7 Hours 40 Minutes

Distance Formula with Time Unit Conversion

A bird flies at a speed of 250 km/h for 7 hours and 40 minutes.

What distance does it cover?

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1

Understand the problem

A bird flies at a speed of 250 km/h for 7 hours and 40 minutes.

What distance does it cover?

2

Step-by-step solution

To solve this problem, we will use the formula for distance, which is given by:

Distance=Speed×Time \text{Distance} = \text{Speed} \times \text{Time}

Step 1: Convert the time from hours and minutes to hours only.

The bird flies for 7 hours and 40 minutes. To convert 40 minutes to hours, we use the conversion:

40 minutes=4060=230.67 hours 40 \text{ minutes} = \frac{40}{60} = \frac{2}{3} \approx 0.67 \text{ hours}

Therefore, the total time in hours is:

7 hours+0.67 hours=7.67 hours 7 \text{ hours} + 0.67 \text{ hours} = 7.67 \text{ hours}

Step 2: Substitute the given speed and the converted time into the distance formula.

Distance=250 km/h×7.67 hours \text{Distance} = 250 \text{ km/h} \times 7.67 \text{ hours}

Distance=1916.75 km \text{Distance} = 1916.75 \text{ km}

Therefore, the bird covers a distance of approximately 1916.67 1916.67 km.

Upon comparison with the given answer choices, the correct choice is:

1916.67 1916.67 km

3

Final Answer

1916.67 1916.67 km

Key Points to Remember

Essential concepts to master this topic
  • Formula: Distance equals speed multiplied by time (D = S × T)
  • Technique: Convert 40 minutes to 23 \frac{2}{3} hours or 0.67 hours
  • Check: Verify units match: km/h × hours = km distance ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to convert minutes to hours
    Don't use 7 hours 40 minutes as 7.40 hours = wrong answer of 1850 km! Minutes need conversion since 40 minutes ≠ 0.40 hours. Always convert: 40 minutes = 40/60 = 2/3 hours = 0.67 hours.

Practice Quiz

Test your knowledge with interactive questions

David runs at a speed of 5 meters per second and covers a distance of 700 meters.

For how long does David run?

FAQ

Everything you need to know about this question

Why can't I just use 7.40 hours instead of converting?

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Because 7 hours 40 minutes is NOT 7.40 hours! Time doesn't work like decimals. You need to convert: 40 minutes = 4060=23 \frac{40}{60} = \frac{2}{3} hours = 0.67 hours.

How do I convert minutes to hours?

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Divide the minutes by 60! For example: 40 minutes ÷ 60 = 0.67 hours. This works because there are 60 minutes in 1 hour.

What if I get a different decimal when converting 2/3 to decimal?

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That's normal! 23=0.6666... \frac{2}{3} = 0.6666... We usually round to 0.67 hours for easier calculation. The slight rounding explains why the answer is approximately 1916.67 km.

Can I work in minutes instead of hours?

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Yes, but then convert speed too! 250 km/h = 250 ÷ 60 = 4.17 km/min. Then: 4.17 × 460 minutes = 1916 km. It's usually easier to convert time to hours.

How do I check if my distance makes sense?

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Ask yourself: Does this seem reasonable? A bird flying 250 km/h for almost 8 hours covering about 1900 km makes sense - that's like flying across several states!

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