The layout of streets in a city and the location of several places have been shown in the figure above. Each horizontal or vertical line between two adjacent streets represents a city block, and each city block represents $0.6$ miles.
Nishant needs to drive fro Kelly's kitchen to Gary's Grocery. If he drives the shortest distance possible on the roads shown above at a constant speed of $30$ miles per hour, calculate the time he takes to make the trip from Kelly's Kitchen to Gary's Grocery.

6

minutes

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10

inutes

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12

minutes

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20

minutes

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Solution

The correct option is C $12$ minutes
In given figure, Kellys kitchen at place of $3^{r d}$ city block on $E$ street and Garys crockery at place $9^{t h}$ city block on $A$ street and each block represent $0.6$ miles.
Then Nishant need to drive $6$ block on horizontal and $4$ blocks vertical.
Then Nishant travels distance $=$ $0.6 \times 10 = 6$ miles
The speed of Nishant is $30$ miles per hours
The time taken by Nishant in traveling $6$ miles $=$ $\frac{6}{30} = 0.2$ HOURS
$\Rightarrow 0.2 \times 60 = 12$ minutes

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