Two persons A and B agree to meet at a place between 11 to 12 noon. The first one to arrive waits for 20 minutes and then leave. if the time of their arrival be independent and at random, then the probabity that A and B meet is:

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method : Places A and B are 100 km apart on highway. One car starts from A and another form 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 ?

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method : Places A and B are 100 km apart on a highway. One car starts from A and another from B at 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 ?

Form the pair of linear equations in the following problems and their solutions (if they exist) by any algebraic method. 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?

Two cars leave one after the other and travel with an acceleration of 0.4 ms. Two minutes after the departure of the first car, the distance between them becomes 1.90 km. The time interval between their departures is :

Places A and B are 160 km apart on a highway. One car starts from A and another from B at the same time. If they travel in the same direction they meet in 8 hours. But if they travel towards each other, they meet in 2 hours. Find the speed of each car. Let P and Q be the cars (1) starting from A and B respectively.

Suppose a car starts from a place A and travels at a speed of 40 km/h towards another place B. At the same instance, another car starts from B and travels towards A at a speed of 30 km/h. If the distance between A and B is 100 km, after how much time will the cars meet?