The eastern continental trail is 15 times longer than the Erie canal way trail. The combined length of the hiking trails is 5,76

Question

3 years ago

15

0 miles. What is the length of each hiking trail?

1 answer:

Lena [83] · Answer 1 · 2022-05-12T20:48:02+03:00

The length of eastern continental trail is 5400 miles and length of erie canal trail is 360 miles.

Step-by-step explanation:

Given,

Combined length of both trails = 5760 miles

Let,

x be the length of eatern continental trail.

y be the length of Erie canal trail.

According to given statement;

x+y=5760 Eqn 1

x = 15y Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$15y+y=5760\\16y=5760$

Dividing both sides by 16

$\frac{16y}{16}=\frac{5760}{16}\\y=360\\$

Putting y=360 in Eqn 2

$x=15(360)\\x=5400$

The length of eastern continental trail is 5400 miles and length of erie canal trail is 360 miles.

Keywords: linear equation, substitution method

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