The cover a certain distance with a speed of 60 km/hr, a train takes 15 hours. If it covers the same distance in 12 hours, what will be its speed?

Options

A. 65km/h
B. 70 km/h
C. 75 km/h
D. 80 km/h

Answer

To solve the problem step by step, we will use the formula for distance, which is:

\[ \text{Distance} = \text{Speed} \times \text{Time} \]

**Step 1: Calculate the distance covered by the train.**

Given:
- Speed (S1) = 60 km/hr
- Time (T1) = 15 hours

Using the formula:
\[ \text{Distance} = S1 \times T1 \]
\[ \text{Distance} = 60 \, \text{km/hr} \times 15 \, \text{hours} \]
\[ \text{Distance} = 900 \, \text{km} \]

**Step 2: Use the distance to find the new speed.**

Now, we need to find the speed (S2) when the train covers the same distance in 12 hours.

Given:
- Distance = 900 km (from Step 1)
- Time (T2) = 12 hours

Using the formula again:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
\[ S2 = \frac{900 \, \text{km}}{12 \, \text{hours}} \]
\[ S2 = 75 \, \text{km/hr} \]

**Final Answer:**
The speed of the train when it covers the same distance in 12 hours is **75 km/hr**.

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