CBSE Class 10-Mathematics: Chapter –3 Pair of Linear Equation in Two Variables Part 3

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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