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CBSE Class 10- Mathematics: Chapter β 3 Pair of Linear Equation in Two Variables Part 3
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
β¦ (1)
β¦ (2)
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