A train travels a distance of 300 km at a constant speed. If the speed of the train is increased by 5 km/h, the journey would have taken 2 hours less. Find the original speed of the train.

Given

• Distance travelled by the train = 300 km
• Let the original speed be x km/h.
• New speed = (x + 5) km/h
• The new journey time reduces by 2 hours.

Step 1: Form the Equation

We know:

• Original time = 300/x hours
• New time = 300/(x + 5) hours

According to the question:

Step 2: Solve the Equation

Bring all terms to one side:

Divide by 2:

Factorisation:

So,

Final Answer