# CBSE Class 10-Mathematics: Chapter – 3 Pair of Linear Equation in Two Variables Part 3 (For CBSE, ICSE, IAS, NET, NRA 2022)

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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.

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

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.

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

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