Question

Places A and B are 100 KM apart on highway 1 car starts from A and another from B at the same time is the car travels in the same direction at different speed they meet in 5 hours if they travel towards Each Other they meet in one hour what are the speed of the two car
Pls give answer with explanation

Answer 1

Sol:
Let the speeds of the cars be x km/hr and y km/hr

Case 1:
When the cars are going in the same direction
Relative speed = x - y
Distance = 100 km
Time = 100 / (x - y) = 5 hrs
x - y = 100 / 5=20
x – y = 20 ------------- (1)

Case 2:
When the cars are going in the opposite direction
Relative speed = x + y
Time =100 / (x + y) = 1 hrs
x + y = 100 ------------- (2)

Solving the equations (1) and (2),
x = 60
y = 40
Hence the speeds of the cars are 60 km/hr and 40 km/h

Answer 2

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Let the speed of car at A be x km/h

and the speed of car at B be y km/h

As per the question,

5x - 5y = 100

x - y = 20 ... (1)

and x + y = 100 ... (2)

Solving (1) and (2), we get,

x = 60 and y = 40

Speed of the car at A = 60 km/h

Speed of the car at B = 40 km/h