Question

A cyclist covers a distance of 750 m in 2 min 30 sec. What is the speed in km/hr of the cyclist?

• A. 20
• B. 18
• C. 36
• D. 9
• E.

Hint:

To find speed in km/hr, use the formula: \[ \text{Speed} = \frac{\text{Distance in km}}{\text{Time in hr}}. \]

Answer 1

The Correct Option is B

Step 1: Convert time to hours. The given time is 2 minutes 30 seconds. Converting to hours: \[ 2 \times 60 + 30 = 150 \text{ seconds} \] \[ \frac{150}{3600} = \frac{1}{24} \text{ hr}. \] Step 2: Convert distance to kilometers. Since 750 meters is equivalent to: \[ \frac{750}{1000} = 0.75 \text{ km}. \] Step 3: Compute the speed. Using the speed formula: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{0.75}{\frac{1}{24}} \] \[ = 0.75 \times 24 = 18 \text{ km/hr}. \] Thus, the speed is **18 km/hr**.