To find out how much faster Grayson biked than Maya, we first need to calculate the speeds of both of them.
Grayson's speed: Grayson biked 45 miles in 3 hours, so we can calculate his speed using the formula for speed, which is distance divided by time:
\[ \text{Grayson's speed} = \frac{45 \text{ miles}}{3 \text{ hours}} = 15 \text{ miles per hour} \]
Maya's speed: Maya biked 26 miles in 2 hours, so we can calculate her speed in the same way:
\[ \text{Maya's speed} = \frac{26 \text{ miles}}{2 \text{ hours}} = 13 \text{ miles per hour} \]
Difference in speed: Now, we can find how much faster Grayson biked than Maya by subtracting Maya's speed from Grayson's speed:
\[ \text{Difference in speed} = \text{Grayson's speed} - \text{Maya's speed} = 15 \text{ miles per hour} - 13 \text{ miles per hour} = 2 \text{ miles per hour} \]
Thus, Grayson biked 2 miles per hour faster than Maya.
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