(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 $1$ 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 $2^{n d}$ 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 $(4, 3)$
$(ii)$ How many cross-streets can be referred to as $(3, 4)$ .

Question

(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

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

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)

(ii)

How many cross-streets can be referred to as

(3, 4)

.

Filo · Accepted Answer

(i) Only one street can be referred to as (4,3) as we see from the figure.(ii) Only one street can be referred to as (3,4) as we see from the figure.

Question Text	(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 $1$ 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 $2^{n d}$ 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 $(4, 3)$ $(ii)$ How many cross-streets can be referred to as $(3, 4)$ .
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