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Distance vs Displacement

In a city, al...

Question

In a city, all the roads are either parallel to the East-West or North-South direction. Every $\frac{1}{8}$ th of a kilometre from each road there is a crossing and the square area covered between four crossings is called a block. starting from a crossing. If I travel four blocks north, take left and then travel three blocks west, I reach another crossing. What is the distance between these two crossings?

5

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7 / 8

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5 / 8

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Solution

The correct option is D $5 / 8$ km
For finding the distance between initial and final point.
We will use Pythagoras theorem as:
${(\frac{4}{8})}^{2}$ $+$ ${(\frac{3}{8})}^{2}$ $=$ $\frac{25}{64}$
$\sqrt{\frac{25}{64}}$ $=$ $\frac{5}{8}$
Thus $\frac{5}{8}$ is true.
Hence, Option D is correct.

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Similar questions

Question 2 (i)
(Street Plan) : A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction.
All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines. There are many cross- streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner: If the 2nd street running in the North-South direction and 5th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:

how many cross-streets can be referred to as (4, 3)?

Q. (Street plan): A city has two main roads which cross each other at the center of the city. These two roads are along the North-South direction and East-West direction. All the other streets of the city-run parallel to these roads and are

200

m apart. There are

5

streets in each direction. Using

1

= 200

m, draw a model of the city on your notebook. Represent the roads/streets by single lines.
There are many cross-streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner: If the

2^{n d}

street running in the North-South direction and

5^{t h}

in the East-West direction meet at some crossing, then we will call this cross-street

(2, 5)

. Using this conversion, find:

(i)

How many cross-streets can be referred to as

(4, 3)

(i i)

How many cross-streets can be referred to as

(3, 4)

All the roads of a city are either perpendicular or parallel to one another. The roads are all straight. Roads A, B, C, D and E are parallel to one another. Roads G, H, I, J, K, L and M are parallel to one another.

(i) Road A is 1 km east of road B.

(ii) Road B is km west of road C.

(iii) Road D is 1 km west of road E.

(iv) Road G is km south of road H.

(v) Road I is 1 km north of road J.

(vi) Road K is km north of road L.

(vii) Road K is 1 km south of road M.

If road E is between B and C, then distance between A and D is

(Street Plan): A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction.

All the other streets of the city run parallel to these roads and are 200 m apart. There are about 5 streets in each direction. Using 1 cm = 100 m, draw a model of the city on your notebook Represent the roads/streets by single lines.

There are many cross-streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner: If the 2^nd street running in the North-South direction and 5^th in the East-West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:

(i) How many cross - streets can be referred to as (4, 3).

(ii) How many cross - streets can be referred to as (3, 4).

Q. A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction. All other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction.

Using 1 cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines.

There are many cross-streets in your model. A particular cross-street is made by two streets, one running in the North-South direction and another in the East-West direction. Each cross street is referred to in the following manner: If the 2nd street running in the North-South direction and 5th in the East-West direction meet at some crossing, then we will call this cross-street (2,5). Using this convention, find:

(i) how many cross-streets can be referred to as (4,3).
(ii) how many cross-streets can be referred to as (3,4).

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The correct option is D 5/8 kmFor finding the distance between initial and final point.We will use Pythagoras theorem as:(48)2 + (38)2 = 2564√2564 = 58Thus 58 is true.Hence, Option D is correct.

The correct option is D $5 / 8$ km
For finding the distance between initial and final point.
We will use Pythagoras theorem as:
${(\frac{4}{8})}^{2}$ $+$ ${(\frac{3}{8})}^{2}$ $=$ $\frac{25}{64}$
$\sqrt{\frac{25}{64}}$ $=$ $\frac{5}{8}$
Thus $\frac{5}{8}$ is true.
Hence, Option D is correct.