CBSE Class 10-Mathematics: Chapter –3 Pair of Linear Equation in Two Variables Part 16

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Question 7:

A train covered a certain distance at a uniform speed. If the train would have been faster, it would have taken hours less than the scheduled time. And, if the train were slower by , it would have taken hours more than the scheduled time. Find the distance covered by the train.

Answer:

Let the speed of the train be x km/h and the time taken by train to travel the given distance be hours and the distance to travel be .

Since Speed

According to the question

Again,

Adding equations (2) and (3), we obtain:

Substituting the value of x in equation (2), we obtain:

From equation (1), we obtain:

Thus, the distance covered by the train is .

Question 8:

Draw the graphs of the equations and Determine the co-ordinate of the vertices of the triangle formed by these lines and the axis

Answer:

Three solutions of this equation can be written in a table as follows:

Draw the graphs of the equations

Draw the Graphs of the Equations

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Three solutions of this equation can be written in a table as follows

Three solutions of this equation can be written in a table as follows

3

It can be observed that the required triangle is .

The coordinates of its vertices are .