High School

If a turret can fire 105 bullets in a second and cools down for 2 minutes, how many bullets can the turret fire in 8 hours?

A. 3,780,000
B. 3,900,000
C. 4,200,000
D. 4,320,000

Answer :

Final answer:

In 8 hours, the turret can fire 24990 bullets, which does not match any of the provided options.

Explanation:

To find out how many bullets the turret can fire in 8 hours, we first need to understand its firing cycle. The turret can fire 105 bullets per second and then takes 2 minutes to cool down. One cycle, therefore, lasts for 2 minutes and 1 second. However, the turret only fires bullets for 1 second during that period. Therefore, we have to find out how many such cycles there are in 8 hours and how many bullets are fired in each cycle.

There are 60 seconds in a minute, so 2 minutes are equal to 2 x 60 = 120 seconds. Adding the 1 second during which the turret fires, each cycle lasts for 121 seconds. In 8 hours, or 8 x 60 x 60 = 28800 seconds, there are 28800 / 121 = approximately 238 cycles. To find out how many bullets the turret can fire in 8 hours, we multiply the number of cycles by the number of bullets fired in each cycle: 238 x 105 = 24990 bullets. Therefore the answer is none of the options provided.

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