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3 years ago

6

An express train started at its home station. In 3 hours, it was 285 miles away. In 5 hours, it was 475 miles away. How fast was

the train travelling if it did not make any stops?

1 answer:

Sedbober [7]3 years ago

6 0

Answer:

95 mi/hr

Step-by-step explanation:

475/5 = 95

285/3 = 95

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we have that

$300 + 150 + 75 +...$

Let

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Alternative Method

Applying the formula

$S_n=\frac{a_1 (1-r^n)}{1-r} \\\\a_1=300 \\ r=\frac{1}{2}\\\\ S_5=\frac{300(1-(\frac{1}{2})^5)}{1-\frac{1}{2}}\\\\=\frac{300(1-\frac{1}{32})}{\frac{1}{2}}\\\\=\frac{300 \times \frac{31}{32}}{\frac{1}{2}}\\\\=\frac{75 \times \frac{31}{8}}{\frac{1}{2}}\\\\=\frac{\frac{2325}{8}}{\frac{1}{2}}\\\\=\frac{2325}{8} \times 2\\\\=\frac{2325}{4}\\\\=581 \frac{1}{4}\\\\=581.25$

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