# Two Cars Leave Same Place At The Same Time. Each Car Travels At A Speed Of 60kph. On…

two cars leave same place at the same time. each car travels at a speed of 60kph. One travel in the direction 60° east of north. The other travel in the direction 45° east of south. How far apart are the two cars after 30 minutes

**Answer:**

11:51 am

The two cars are travelling in directions that are at right angle.

Let x and y be the distances travelled by the two cars in t hours.

Hence, x=50t and y=60t

Since the two directions are at right angle, Pythagoras theorem can used to find distance D between the two cars as follows:

D=

x

2

+y

2

We now find the time at which D=300 miles by solving

x

2

+y

2

=300

Square both sides and substitute x and y by 50t and 60t respectively to obtain the equation

(50t)

2

+(60t)

2

=300

2

Solve the above equations to obtain

t=3.84 hours (rounded to two decimal places) or 3 hours and 51 minutes (to the nearest minute)

The two cars will 300 miles apart at

8+3h51

′

=11:51 am

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