Source: Extra Practice

A car travels a distance of 162 km in 3 hours. What is its speed in m/s?

Options

Option A is correct

15 m/s

Option B

60 m/s

Option C

10 m/s

Option D

50 m/s

Explanation

To find the speed in m/s, first calculate the speed in km/h. Speed is defined as distance divided by time. Given Distance = 162 km, Time = 3 hours. So, Speed = 162 km/3 hours=54 km/h162 \text{ km} / 3 \text{ hours} = 54 \text{ km/h}. Next, convert km/h to m/s. We know that 1 km=1000 m1 \text{ km} = 1000 \text{ m} and 1 hour=3600 s1 \text{ hour} = 3600 \text{ s}. So, 1 km/h=(1000 m)/(3600 s)=5/18 m/s1 \text{ km/h} = (1000 \text{ m}) / (3600 \text{ s}) = 5/18 \text{ m/s}. Therefore, 54 km/h=54×(5/18) m/s=3×5 m/s=15 m/s54 \text{ km/h} = 54 \times (5/18) \text{ m/s} = 3 \times 5 \text{ m/s} = 15 \text{ m/s}. Options B, C, and D are incorrect as they result from incorrect unit conversions or calculations.