Calculate Distance: Cycling at 18 km/h for 25 Minutes

Q: Why can't I just multiply 18 × 25?

Because you're mixing different time units! Speed is in km/hour but time is in minutes. You must convert minutes to hours first: 25 minutes = 25/60 hours.

Q: Can I convert speed to km/min instead?

Absolutely! 18 km/h ÷ 60 = 0.3 km/min. Then: 0.3 × 25 = 7.5 km. Same answer, different approach!

Distance Calculation with Time Unit Conversion

Miriam rides her bike at a speed of 18 km/h for 25 minutes.

How far does she traverl?

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Miriam rides her bike at a speed of 18 km/h for 25 minutes.

How far does she traverl?

Step-by-step solution

Final Answer

$7.5$ km

Key Points to Remember

Essential concepts to master this topic

Formula: Distance = Speed × Time (both in same units)
Technique: Convert 25 minutes to $\frac{25}{60} = \frac{5}{12}$ hours first
Check: Units match: km/h × h = km, and answer is reasonable ✓

Common Mistakes

Avoid these frequent errors

Using minutes directly with km/h without converting
Don't multiply 18 km/h × 25 minutes = 450 km! This mixes different time units and gives a massive wrong answer. Always convert time to hours first when speed is in km/h.

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 multiply 18 × 25?

Because you're mixing different time units! Speed is in km/hour but time is in minutes. You must convert minutes to hours first: 25 minutes = 25/60 hours.

How do I remember to convert units?

Always check that your units make sense! If speed is km/h, then time must also be in hours. The units should cancel out to give you distance in km.

Is 7.5 km a reasonable answer for 25 minutes?

Yes! At 18 km/h, you'd travel 18 km in 60 minutes, so in 25 minutes (less than half), 7.5 km is reasonable since it's less than half of 18 km.

What if the time was given in seconds instead?

Convert seconds to hours by dividing by 3600 (since 1 hour = 3600 seconds). Or convert speed to km/s first. Always match your units!

Can I convert speed to km/min instead?

Absolutely! 18 km/h ÷ 60 = 0.3 km/min. Then: 0.3 × 25 = 7.5 km. Same answer, different approach!

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