Ned is riding his bike from his house to the park, both of which are on the same straight road. On his way, he stops at a store, which is 47 of the way to the park, and then bikes the remaining 0.6 mile to the park. What is the distance between Ned's home and the park?

Complete question :

Ned is riding his bike from his house to the park, both of which are on the same straight road. On his way, he stops at a store, which is 4/7 of the way to the park, and then bikes the remaining 0.6 mile to the park. What is the distance between Ned's home and the park?

Answer:

1.4 miles

Step-by-step explanation:

Given that :

Ned's home and park are on the same straight road :

Store where Ned stopped is 4/7 of the way to the park

Bikes the remaining 0.6 miles to the park

Hence after traveling 4/7 of the distance, distance to park is 0.6 miles

Hence, 1 - 4/7 = 3/7

Hence, 3/7 of the way = 0.6 miles

If 3/7 = 0.6 miles

Then, 1 = x

Cross multiply

3/7 x = 0.6

3x = 4.2

x = 4.2 / 3

x = 1.4 miles

The distance from Ned's home to park is 1.4 miles

The distance between Ned's home and the park is 1.4 miles.

Ned is riding his bike from his house to the park, both of which are on the same straight road.

At some point between the way to the park, he covered [tex]\dfrac{4}{7}[/tex] of total distance and the destiny is still remained by 0.6 mile.

The fraction of the distance yet to be covered is,

[tex]\begin{aligned}\rm{Remaining\;distance}&=1-\dfrac{4}{7}\\&=\dfrac{7-4}{7}\\&=\dfrac{3}{7} \end{aligned}[/tex]

Now, the remaining distance is given that is 0.6 mile.

Therefore,

[tex]\begin{aligned}\dfrac{3}{7} \times \rm{Total \;distance}&=0.6\\\rm{Total \;distance}&=1.4\;\rm{miles} \end{aligned}[/tex]

Thus, the distance between Ned's home and the park is 1.4 miles.

To know more about it, please refer to the link:

https://brainly.com/question/24379068

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