Daniel painted the dashed lines on a new stretch of highway. Each dash was 3 yards long. After each dash, Daniel left 5 yards of space. Then, he continued drawing dashes followed by space. There are 1,760 yards in a mile. How many dashes did Daniel paint in each one mile stretch of highway?

Question

Mathematics

Isabell Todd

14 October, 21:00

Daniel painted the dashed lines on a new stretch of highway. Each dash was 3 yards long. After each dash, Daniel left 5 yards of space. Then, he continued drawing dashes followed by space. There are 1,760 yards in a mile. How many dashes did Daniel paint in each one mile stretch of highway?

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Answers (1)

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Remington Sheppard · Answer 1

220 dashes

Step-by-step explanation:

According to data given,

There are 1760 yards in 1 mile.

One dash is 3 yards long followed by a space of 5 yards. Now for ease, consider the empty space and yard as one complete dash.

Suppose, x is the total number of complete dashes.

Where 1 complete dash has a length of 8 yards (3 + 5)

So equation becomes

1760 = 8 (x)

x = 1760/8

x = 220

So, Daniel painted 220 dashes on a one mile long road.