Final answer:
The person can keep the fire going for 57 hours with 95 logs.
Step-by-step explanation:
To find out how many hours the person can keep the fire going with 95 logs, we need to determine the rate at which the logs are burned. From the information given, we know that the person can keep the fire burning for 6 hours with 10 logs. This means that the rate of burning is 10 logs per 6 hours, or 10/6 logs per hour.
To find out how many hours the fire can last with 95 logs, we can set up a proportion. Let x be the number of hours the fire can last. The proportion will be:
10/6 = 95/x
Cross-multiplying, we have:
10x = 6 * 95
Dividing both sides by 10, we find:
x = 6 * 95 / 10
Simplifying, we get:
x = 57
Therefore, the person can keep the fire going for 57 hours with 95 logs.