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\(A \approx 1104.49\).
#### 1104.49
A train travels 300 miles in 5 hours. If it travels at the same speed, how long will it take to travel 540 miles?
Calculate the speed: \(300 \text{ miles} / 5 \text{ hours} = 60 \text{ mph}\).
Time to travel 540 miles: \(540 \text{ miles} / 60 \text{ mph} = 9\) hours.
A circle has a circumference of 31.4 meters. What is its radius?
Use the formula \(C = 2\pi r\).
Substitute: \(31.4 = 2 \times 3.14 \times r\).
Solve for \(r\): \(r = \frac{31.4}{6.28} = 5\) meters.
A solution contains 40% alcohol. How much of a 70% alcohol solution must be added to 100 mL of the 40% solution to obtain a 50% alcohol solution?