Calculate Flight Duration: 900 km/h Speed from Israel to USA (10,853 km)

Q: Why do I divide distance by speed instead of the other way around?

Think about it logically: if you travel farther, it takes more time. If you go faster, it takes less time. So time increases with distance and decreases with speed: $ \text{Time} = \frac{\text{Distance}}{\text{Speed}} $

Q: How do I know which units to use in my answer?

Look at your speed units! Since speed is in km/h, your time will be in hours. The distance units (km) cancel out when you divide km by km/h.

Q: Should I round my final answer?

Yes, but be reasonable! For flight times, 2 decimal places (like 12.06 hours) is practical. Don't leave it as 12.058888 hours - that's too precise for real life.

Q: What if I get a really small number like 0.083?

That's a red flag! 0.083 hours = about 5 minutes. No plane flies from Israel to USA in 5 minutes! Always check if your answer makes sense in the real world.

Distance-Speed-Time with Real World Applications

An aeroplane flies at a speed of 900 km/h.

The distance between Israel and the United States is 10,853 km.

How long will the flight take?

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Understand the problem

An aeroplane flies at a speed of 900 km/h.

The distance between Israel and the United States is 10,853 km.

How long will the flight take?

Step-by-step solution

To determine how long the flight will take, we need to use the formula for calculating time when distance and speed are given:

Formula: $\text{Time} = \frac{\text{Distance}}{\text{Speed}}$

Let's apply the given values to this formula:
- Distance ( $D$ ) = $10,853$ km
- Speed ( $S$ ) = $900$ km/h

Substitute these values into the formula:

$\text{Time} = \frac{10,853 \text{ km}}{900 \text{ km/h}}$

Perform the division:

$\text{Time} = 12.058888\text{ hours}$

Rounding this number to two decimal places, we obtain:

$\text{Time} \approx 12.06\text{ hours}$

Thus, the time taken for the flight is approximately $12.06$ hours.

The answer corresponds to choice $2$ : $12.06$ hours.

Final Answer

$12.06$ hours

Key Points to Remember

Essential concepts to master this topic

Formula: Time equals distance divided by speed (T = D/S)
Technique: Substitute values: 10,853 ÷ 900 = 12.058888 hours
Check: Multiply back: 12.06 × 900 = 10,854 km (close to 10,853) ✓

Common Mistakes

Avoid these frequent errors

Using the wrong formula order
Don't calculate speed ÷ distance = 900 ÷ 10,853 = 0.083 hours! This gives an impossibly short flight time. Always use Time = Distance ÷ Speed to get the correct units of 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 do I divide distance by speed instead of the other way around?

Think about it logically: if you travel farther, it takes more time. If you go faster, it takes less time. So time increases with distance and decreases with speed: $\text{Time} = \frac{\text{Distance}}{\text{Speed}}$

How do I know which units to use in my answer?

Look at your speed units! Since speed is in km/h, your time will be in hours. The distance units (km) cancel out when you divide km by km/h.

Should I round my final answer?

Yes, but be reasonable! For flight times, 2 decimal places (like 12.06 hours) is practical. Don't leave it as 12.058888 hours - that's too precise for real life.

Can I convert the answer to hours and minutes?

Absolutely! Take the decimal part (0.06 hours) and multiply by 60: $0.06 \times 60 = 3.6$ minutes. So 12.06 hours = 12 hours and 4 minutes.

What if I get a really small number like 0.083?

That's a red flag! 0.083 hours = about 5 minutes. No plane flies from Israel to USA in 5 minutes! Always check if your answer makes sense in the real world.

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