A horse covers a distance of 1500 meters in 1 minute 20 seconds. At what speed the horse is running?

Options

A. 67.9 km/hr
B. 67. 5 km/hr
C. 67.7 km/hr
D. 67.2 km/hr

Answer

To find the speed of the horse, we need to follow these steps:

### Step 1: Convert the distance from meters to kilometers.
The distance given is 1500 meters. To convert meters to kilometers, we divide by 1000.

\[ \text{Distance in kilometers} = \frac{1500 \text{ meters}}{1000} = 1.5 \text{ kilometers} \]

### Step 2: Convert the time from minutes and seconds to hours.
The time given is 1 minute and 20 seconds. We need to convert this to hours.

1 minute = 60 seconds, so:
\[ \text{Total time in seconds} = 1 \text{ minute} + 20 \text{ seconds} = 60 + 20 = 80 \text{ seconds} \]

Now, convert seconds to hours:
\[ \text{Time in hours} = \frac{80 \text{ seconds}}{3600 \text{ seconds/hour}} = \frac{80}{3600} = \frac{2}{90} = \frac{1}{45} \text{ hours} \]

### Step 3: Calculate the speed using the formula.
The formula for speed is:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]

Substituting the values we have:
\[ \text{Speed} = \frac{1.5 \text{ kilometers}}{\frac{1}{45} \text{ hours}} = 1.5 \times 45 = 67.5 \text{ kilometers per hour} \]

### Final Answer:
The speed of the horse is **67.5 km/h**.

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