A recent forest fire near Littleville destroyed four-fifths of the trees in Bigtree National Forest. The forest covers 4920 km^2. There is now about 30 tons of salvageable wood per km^2 in the burned area. The part of the forest that was not destroyed by fire will not be open to the salvagers. Assuming the trees are evenly distributed throughout the park, about how long will it take to remove all the salvageable wood at a rate of 53 1/2 tons per day? Round your answer to the nearest whole number.
The answer is 552 days
area destroyed = (3/4)(4920) km^2 = 3690 km^2
tons of wood available = 90(3690) tons = 332100 tons
at a rate of 53.5 tons/day to remove the wood,
time taken = 332100/53.5 days = 17 years ?????
unreasonable question!
To calculate the time it will take to remove all the salvageable wood, we need to find the total amount of salvageable wood in the burned area and then divide it by the rate at which wood is being removed.
The burned area covers four-fifths (4/5) of the total forest area, which is 4920 km^2. Therefore, the burned area is:
(4/5) * 4920 km^2 = 3936 km^2
The salvageable wood per km^2 in the burned area is 30 tons. So, the total salvageable wood in the burned area is:
3936 km^2 * 30 tons/km^2 = 118,080 tons
Now we can calculate the time it will take to remove all the salvageable wood at a rate of 53 1/2 tons per day:
Time = Total salvageable wood / Removal rate
Time = 118,080 tons / 53.5 tons/day
Time ≈ 2207.29 days
Rounding to the nearest whole number, it will take approximately 2207 days to remove all the salvageable wood.
To find out how long it will take to remove all the salvageable wood, we need to follow these steps:
Step 1: Calculate the total amount of salvageable wood in the burned area.
Since 4/5 of the trees were destroyed, only 1/5 of the trees remain. So, the amount of wood per square kilometer is 1/5 of 30 tons, which is (1/5) * 30 = 6 tons.
Step 2: Calculate the total amount of salvageable wood in the burned area.
Multiply the amount of salvageable wood per square kilometer by the total area of the burned area:
6 tons/km^2 * 4920 km^2 = 29,520 tons.
Step 3: Calculate the number of days it will take to remove all the salvageable wood.
Divide the total amount of salvageable wood by the rate of removal per day:
29,520 tons / 53.5 tons/day = 551.028 days.
Step 4: Round the answer to the nearest whole number.
Since we're asked to round the answer to the nearest whole number, the time it will take to remove all the salvageable wood is approximately 551 days.
So, it will take about 551 days to remove all the salvageable wood at a rate of 53 1/2 tons per day.