Question

Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars?

Answer 1

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Answer 2

Answer:

Speed of the cars are 60 km/hr and 40 km/hr.

Step-by-step explanation:

Given: Distance between point A and B is 100 km

let car starting from point A is Car A and Car starting from point B is Car B.

To find: Speeds of the cars

let Speed of Car A is x km/hr.

    Speed of Car B is y km/hr

According to the question, (using speed, distance, time formula)

5x - 5y = 100

x - y = 20 .......................(1)

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

Add equation (1) and (2),

2x = 120

x = 60

put this value in equation (2),

60 + y = 100

y = 40

Therefore, Speed of the cars are 60 km/hr and 40 km/hr.