Problem

Audit the sum \(40~\text{miles}~\text{per}~\text{hour}~+~10~\text{hours}\). State its validity, identify \(\text{both}~\text{dimensions}\), assess their compatibility for addition, and identify the relevant operation if the context calls for distance.

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valid = yes; dimensions = speed and time; compatibility = quantities are treated as compatible because both mention hours; relevant operation = add them

valid = no; dimensions = speed and time; compatibility = unlike dimensions cannot be added; relevant operation = divide speed by time to claim miles

valid = no; dimensions = speed and time; compatibility = unlike dimensions cannot be added; relevant operation = multiply speed by time to obtain distance, if the context calls for distance

valid = yes; dimensions = speed and time; compatibility = unlike dimensions are treated as addable; relevant operation = add to claim 50 miles/hour-hours

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Audit the sum \(40~\text{miles}~\text{per}~\text{hour}~+~10~\text{hours}\). State its validity, identify \(\text{both}~\text{dimensions}\), assess their compatibility for addition, and identify the relevant operation if the context calls for distance.

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