A plane is flying at 31,348 feet. It needs to rise to 36,000 feet in two stages.
In stage 1, it rises 5% of its initial altitude of 31,348 feet.
In stage 2, it rises at a rate of 140.3 feet per minute.
How many minutes does it take for the plane to rise during stage 2?
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To find the number of minutes it takes for the plane to rise during stage 2, we need to calculate the difference between the final altitude and the altitude reached during stage 1. Let's break down the problem step by step.
Step 1: Calculate the altitude reached during stage 1
To find the altitude reached during stage 1, we need to apply the given 5% increase to the initial altitude of 31,348 feet. We can calculate this by multiplying the initial altitude by 0.05 (which represents 5%).
Altitude reached during stage 1 = 31,348 feet * 0.05 = 1,567.4 feet
Step 2: Calculate the difference in altitude between the final altitude and the altitude reached during stage 1
To find the difference in altitude, we subtract the altitude reached during stage 1 from the final altitude of 36,000 feet.
Difference in altitude = Final altitude - Altitude reached during stage 1
Difference in altitude = 36,000 feet - 1,567.4 feet = 34,432.6 feet
Step 3: Calculate the time taken to rise during stage 2
Given that the plane rises at a rate of 140.3 feet per minute during stage 2, we can divide the difference in altitude by the rate of ascent to find the time taken.
Time taken = Difference in altitude / Rate of ascent during stage 2
Time taken = 34,432.6 feet / 140.3 feet per minute
Now we can use a calculator to perform the division:
Time taken ≈ 245.36 minutes
Therefore, it takes approximately 245.36 minutes for the plane to rise during stage 2.