CBSE Class 10-Mathematics: Chapter – 3 Pair of Linear Equation in Two Variables Part 16 (For CBSE, ICSE, IAS, NET, NRA 2022)
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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:
| 3 |
It can be observed that the required triangle is .
The coordinates of its vertices are .