# 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.

**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