CBSE Class 10-Mathematics: Chapter –3 Pair of Linear Equation in Two Variables Part 3
Get top class preparation for CBSE right from your home: fully solved questions with step-by-step explanation- practice your way to success.
Question 6:
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 of the journey.
Answer:
Let the speed of the train by
And the time taken by it by
Now distance travelled by it is
Solving for we get
So, the distance
Question 7:
A chemist has one solution which is acid and a second which is acid. How much of each should be mixed to make litres of acid solution
Answer:
Let acids in the solution be
Let of other solution be y
Total Volume in the mixture
A.P.Q:
A.P.Q:
So
Question 8:
The length of the sides of a triangle are . If the triangle equilateral. Find its perimeter.
Answer:
A.P.Q:
Solve it,
To get
Solve it,
To get
Substitute value of in (4)
Solve it,
To get
So, the values of
Perimeter
Perimeter