Question

Bijan wants to go running during his family’s vacation to New York City. To do so, he will run a neighborhood block 20 times. Bijan runs a total of 8 miles. Use the formula for the perimeter of the neighborhood block and the reciprocal to find the width w of the city block.

Answer 1

Answer:

1/20

Step-by-step explanation:

Answer 2

The width of the city block is 1/20 mile.

Given:

a figure as shown in the image below

total distance traveled by Bijan = 8 miles

number of rounds taken by Bijan = 20

To Find:

the width of the block

Solution:

the length of the block = 3/20 miles

width of the block = w

⇒ perimeter = 2(3/20 + w)

= 3/10 + 2w

thus, Bijan will cover a distance of 3/10 + 2w miles in one round

so, in 20 rounds he will cover 20(3/10 + 2w) miles

⇒ 20(3/10 + 2w) = 8

2w = 8/20 - 3/10

w = 2/40

w = 1/20

Thus, the width of the city block is 1/20 mile.

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