Laura walks every evening on the edges of a sports field near her house. The field is in the shape of a rectangle 300 feet (ft) long and 200 ft wide, so 1 lap on the edges of the field is 1,000 ft. She enters through a gate at point G, located exactly halfway along the length of the field.
Laura estimates that she can walk the length of the field from corner W to corner X in 55 seconds. To the nearest tenth of a mile per hour, what is her walking speed? (1 mile = 5,280 feet)
Laura's walking speed is approximately 5.5 miles per hour.
To calculate Laura's walking speed, we first determine the distance she walks in a given time and then convert that speed from feet per second to miles per hour. She walks 300 feet in 55 seconds, which translates to a speed of approximately 5.5 miles per hour when converted.
This option underestimates Laura's speed. To find the speed, we calculate the distance (300 feet) divided by the time (55 seconds), which yields approximately 5.45 feet per second. When converted to miles per hour, this is about 5.5, making 3.7 too low.
This is the correct answer. By converting her speed from feet per second to miles per hour, we confirm that walking 300 feet in 55 seconds results in a speed of approximately 5.5 miles per hour.
This choice also inaccurately reflects Laura's speed. A calculation of 3.4 miles per hour would imply she is walking significantly slower than her actual pace, which we established is closer to 5.5 miles per hour based on the distance and time provided.
While this option is closer than the others, it still does not accurately represent Laura's speed. The correct conversion from feet per second to miles per hour gives approximately 5.5, making 5.3 a slight underestimate based on the calculated speed.
Laura's walking speed, calculated from her distance and time, is approximately 5.5 miles per hour. This conclusion arises from direct calculations of her pace over the given distance, confirming that the other options misrepresent her actual speed based on the data provided.
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