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The distance, d, sound travels varies directly with the time, t. The speed of sound in air is constant (k) at about 335 feet per second. How long does it take for sound to travel 11,725 feet?

a) 45 sec
b) 40 sec
c) 35 sec
d) 30 sec

1 Answer

5 votes

Final answer:

To calculate the time it takes for sound to travel 11,725 feet at a speed of 335 feet per second, you divide 11,725 by 335, resulting in 35 seconds. Thus, the answer is (c) 35 sec.

Step-by-step explanation:

The student asked how long it would take for sound to travel 11,725 feet given that the speed of sound in air is constant at about 335 feet per second. To find the time (t) we use the direct variation formula, d = kt, where d is the distance sound travels, t is the time, and k is the constant speed of sound. We are given that k = 335 feet per second.

By rearranging the formula to solve for t, we get t = d/k. Plugging in our values we have t = 11,725 feet / 335 feet per second = 35 seconds. Therefore, it takes 35 seconds for sound to travel 11,725 feet.

The correct answer is (c) 35 sec.

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