Ajay's home is 150 m away from a bus stop. At what speed should he travel to reach his house from the bus stop in 2 min?

Answer

To find the speed at which Ajay should travel to reach his house from the bus stop in 2 minutes, we can follow these steps:

### Step 1: Identify the distance and time
- Distance from the bus stop to Ajay's home = 150 meters
- Time to reach home = 2 minutes

### Step 2: Convert time from minutes to seconds
Since speed is usually expressed in meters per second (m/s), we need to convert the time from minutes to seconds.
- 1 minute = 60 seconds
- Therefore, 2 minutes = 2 × 60 seconds = 120 seconds

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

### Step 4: Substitute the values into the formula
Now we can substitute the distance and time into the formula:
\[ \text{Speed} = \frac{150 \text{ meters}}{120 \text{ seconds}} \]

### Step 5: Simplify the fraction
To simplify the fraction:
\[ \text{Speed} = \frac{150}{120} \]
This can be simplified by dividing both the numerator and the denominator by 30:
\[ \text{Speed} = \frac{150 \div 30}{120 \div 30} = \frac{5}{4} \text{ m/s} \]

### Step 6: Convert to decimal form
Now, we can convert \(\frac{5}{4}\) to decimal form:
\[ \frac{5}{4} = 1.25 \text{ m/s} \]

### Final Answer
Thus, the speed at which Ajay should travel to reach his house from the bus stop in 2 minutes is **1.25 meters per second**.

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