In the time taken by Morton to take 4 steps, Lindsey takes 5 steps. If Morton's three steps are equal to Lindsey's four steps and Lindsey's speed is 7.5 miles/hour, what is Morton's (approximate) speed?

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Explanation

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Official Explanation

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Morton's 3 steps = Lindsey's 4 steps.

Hence, Morton's 1 step = Lindsey's

\frac{4}{3}

steps.

The time taken by Morton to take Morton's 4 steps = the time taken by Lindsey to take Lindsey's 5 steps.

Since Morton's 4 steps =

4 \times \frac{4}{3} = \frac{16}{3}

Lindsey's steps, then:

The time taken by Morton to take

\frac{16}{3}

Lindsey's steps = the time taken by Lindsey to take Lindsey's 5 steps.…

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What this question tests

Your ability to convert between fractions, ratios, and decimals and to reason proportionally.

Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.