Key Concept: Speed of the Computing Engine
c) 518,400 times faster
[Solution Description]
The passage states that the computing engine can solve a problem in 5 seconds that would take a mathematician a month. To find the speed ratio, we first convert the time taken by the mathematician into seconds. A month has approximately 30 days, each with 24 hours, 60 minutes per hour, and 60 seconds per minute.
Calculation:
$30 \, \text{days} \times 24 \, \text{hours/day} \times 60 \, \text{minutes/hour} \times 60 \, \text{seconds/minute} = 2,592,000 \, \text{seconds}.$
The computing engine takes 5 seconds for the same calculation. Thus, the speed ratio is:
$\frac{2,592,000}{5} = 518,400.$
Therefore, the computing engine is approximately 518,400 times faster than a mathematician.
Your Answer is correct.
c) 518,400 times faster
[Solution Description]
The passage states that the computing engine can solve a problem in 5 seconds that would take a mathematician a month. To find the speed ratio, we first convert the time taken by the mathematician into seconds. A month has approximately 30 days, each with 24 hours, 60 minutes per hour, and 60 seconds per minute.
Calculation:
$30 \, \text{days} \times 24 \, \text{hours/day} \times 60 \, \text{minutes/hour} \times 60 \, \text{seconds/minute} = 2,592,000 \, \text{seconds}.$
The computing engine takes 5 seconds for the same calculation. Thus, the speed ratio is:
$\frac{2,592,000}{5} = 518,400.$
Therefore, the computing engine is approximately 518,400 times faster than a mathematician.