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Mr. Thomas walks 3/4 of a mile every 1/3 of an hour if she keeps the same pace. How far was she walk in 1 3/4 hour

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Answer:

63/16 of a mile or 3.9375 miles

Explanation:

We know that distance, d, equals the product of rate, r, and time, t:

d = rt

Step 1: Thus, we can find the rate at which Mr. Thomas 3/4 of a mile by plugging in 3/4 for d and 1/3 for t, allowing us to solve for r:

3/4 = 1/3r

9/4 miles per hour = r

Step 2: Since his rate remains consistent, we can now find how far Mr. Thomas walked in 1 3/4 hours by plugging in 9/4 for r and 1 3/4 in the distance-rate-time formula, allowing us to solve for d, the distance traveled:

d = 9/4 * 1 3/4

d = 63/16 of a mile

or d = 3.9375 miles

Thus, Mr. Thomas can walk about 63/16 of a mile (or 3.9375 miles) in 1 3/4 hours.

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