Question

You won the lottery and moved to Hawaii. The house you bought is located in a beautiful area on the slope of Mauna Loa, 30 miles away from the crater. Mauna Loa erupts and lava pours out of the crater heading directly toward your house. The lava flow is traveling at 6 meters per second. How much time do you have to vacate your home?

Answer 1

2 hours and 14 minutes

Explanation:

You mentioned that your house is located 30 miles away from the crater. Let's convert that distance to meters for consistency in units. Since 1 mile is approximately equal to 1609.34 meters, we have:

Distance = 30 miles * 1609.34 meters/mile ≈ 48,280.2 meters

Now, we can divide the distance by the speed of the lava flow to find the time:

Time = Distance / Speed

Speed = 6 meters/second

Time = 48,280.2 meters / 6 meters/second

Time ≈ 8,046.7 seconds

So, you would have approximately 8,046.7 seconds or about 2 hours and 14 minutes to vacate your home before the lava flow reaches your house.