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Word Problem

Distance at 40 Miles per Hour for 2 Hours

Traveling 40 mph for 2 hours covers 80 miles.

Problem

Answer

Step-by-step solution

  1. Step 1: Identify the relationship

    For constant speed, distance = rate × time.

  2. Step 2: Substitute

    r = 40 miles per hour, t = 2 hours.

  3. Step 3: Units

    Hours cancel in (miles/hour) × hours, leaving miles.

Why this works

Word problems become equations once you name the quantities. Constant-speed motion uses d = rt. If speed changed, you would split the trip into pieces or use average speed, which is not the same as averaging two speeds unless the times are equal.

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Frequently asked questions

What if the times going and returning differ?

Average speed is total distance divided by total time, not the mean of the two speeds.