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Alex Ar [27]
3 years ago
14

A 30-mi. stretch of highway has markers every 0.2 mi. The first marker is at the 0.2 mi. mark and the last marker is at the end

of the highway at the 30 mi. mark. If n is the number of markers, which equation is true?
A. 30 • 0.2 = n
B. 30 • 0.5 = n
C. 30 • n = 0.2
D. 30 ÷ 0.2 = n
Mathematics
2 answers:
lutik1710 [3]3 years ago
7 0

Answer would be D

, you need to divide the total distance by the spacing to find total markers

mars1129 [50]3 years ago
4 0

Answer:

Your answer is D. 30 divided by 0.2 = n.

Step-by-step explanation:

Divide 30 by 0.2 and you get your correct answer.

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<u><em>Solution:</em></u>

The speed is given by formula:

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<em><u>The total distance travelled by the train across the bridge is given by:</u></em>

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[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 1260}{60}

<em><u>The total distance travelled by the train through the tunnel is given by:</u></em>

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 2010}{90}

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Equate both speeds

\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}

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45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120

Thus length of train is 120 meters

<em><u>Find the speed of train:</u></em>

speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25

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