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A man crosses a street 600m long in 5 mi...

A man crosses a street 600m long in 5 minutes his speed in km per hour is

A

7.2

B

3.6

C

10

D

8.4

Text Solution

AI Generated Solution

The correct Answer is:
To find the speed of the man in kilometers per hour, we will follow these steps: ### Step 1: Identify the distance and time - Distance = 600 meters - Time = 5 minutes ### Step 2: Convert time from minutes to seconds Since speed is typically calculated in meters per second, we need to convert the time from minutes to seconds. - 1 minute = 60 seconds - Therefore, 5 minutes = 5 × 60 = 300 seconds ### Step 3: Calculate speed in meters per second Speed is calculated using the formula: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \] Substituting the values we have: \[ \text{Speed} = \frac{600 \text{ meters}}{300 \text{ seconds}} = 2 \text{ meters/second} \] ### Step 4: Convert speed from meters per second to kilometers per hour To convert meters per second to kilometers per hour, we use the conversion factor \( \frac{18}{5} \): \[ \text{Speed in km/h} = \text{Speed in m/s} \times \frac{18}{5} \] Substituting the value we found: \[ \text{Speed in km/h} = 2 \times \frac{18}{5} = \frac{36}{5} = 7.2 \text{ km/h} \] ### Conclusion The speed of the man is **7.2 km/h**.
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Knowledge Check

  • A person crosses a 600 m long street in 5 minutes. What is his speed in km/h ?

    A
    `7 (1)/(5)`
    B
    `8 (1)/(5)`
    C
    `9 (1)/(5)`
    D
    8
  • A man crosses a 600 m long bridge in 5 min. Speed of man in km/h will be

    A
    3.6
    B
    7.2
    C
    8.4
    D
    9.6
  • A 400 metres long train crosses a bridge 600 metres long in 50 seconds. What is speed (in km/hr) of the train ?

    A
    75
    B
    72
    C
    74
    D
    78
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