A man travelling by bus finds the bus crosses 35 electric poles in 1 minutes and the distance between 2 poles is 50 metres. Find the speed of the bus.
A. 112 km/hr
B. 102 km/hr
C. 110 km/hr
D. 120 km/hr

Options

A. C
B. B
C. A
D. D

Answer

To find the speed of the bus, we can follow these steps:

### Step 1: Calculate the distance covered by the bus
The bus crosses 35 electric poles. The distance between each pair of poles is 50 meters. However, when calculating the distance covered, we need to consider that the distance between the first pole and the last pole is covered by 34 gaps (since the first pole does not have a gap before it).

**Distance = Number of gaps × Distance between poles**
- Number of gaps = 35 - 1 = 34
- Distance between poles = 50 meters

So, the total distance covered is:
\[ \text{Distance} = 34 \times 50 = 1700 \text{ meters} \]

### Step 2: Convert the distance to kilometers
To convert meters to kilometers, we divide by 1000:
\[ \text{Distance in kilometers} = \frac{1700}{1000} = 1.7 \text{ kilometers} \]

### Step 3: Convert the time to hours
The time taken to cover this distance is 1 minute. To convert minutes to hours:
\[ \text{Time in hours} = \frac{1}{60} \text{ hours} \]

### Step 4: Calculate the speed in kilometers per hour
Speed is calculated as distance divided by time. Therefore:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{1.7 \text{ km}}{\frac{1}{60} \text{ hours}} \]
This simplifies to:
\[ \text{Speed} = 1.7 \times 60 = 102 \text{ km/hr} \]

### Conclusion
The speed of the bus is **102 km/hr**.