A train is moving with uniform speed of 120 km per hour.
In how much time will it cover 210 km ?

Answer

To solve the problem of how much time a train moving at a uniform speed of 120 km per hour will take to cover a distance of 210 km, we can follow these steps:

### Step 1: Understand the relationship between speed, distance, and time.
The formula that relates speed (S), distance (D), and time (T) is:
\[ S = \frac{D}{T} \]
From this formula, we can rearrange it to find time:
\[ T = \frac{D}{S} \]

### Step 2: Identify the given values.
- Speed of the train (S) = 120 km/h
- Distance to be covered (D) = 210 km

### Step 3: Substitute the values into the formula.
Using the formula \( T = \frac{D}{S} \):
\[ T = \frac{210 \text{ km}}{120 \text{ km/h}} \]

### Step 4: Perform the division.
Calculating the time:
\[ T = \frac{210}{120} \]
To simplify this, we can divide both the numerator and the denominator by 30:
\[ T = \frac{7}{4} \text{ hours} \]

### Step 5: Convert hours into hours and minutes.
The fraction \( \frac{7}{4} \) hours can be converted into hours and minutes:
- \( \frac{7}{4} \) hours = 1 hour and \( \frac{3}{4} \) of an hour.
- Since \( \frac{3}{4} \) of an hour is 45 minutes (because \( \frac{3}{4} \times 60 \text{ minutes} = 45 \text{ minutes} \)).

### Final Answer:
Thus, the train will take **1 hour and 45 minutes** to cover 210 km.

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