Discussion
The approximate distance between the capital of Madhya Pradesh (Bhopal) and the capital of Maharashtra (Mumbai) is 756 km. If a train covers this distance in nearly 14 hours, the average speed of the train in metre per second is
Answer: B
The average speed is 15 m/s.
Convert the distance to metres and the time to seconds, then divide.
\[ \begin{aligned} 756 \text{ km} &= 756000 \text{ m} \\ 14 \text{ h} &= 14 \times 3600 = 50400 \text{ s} \\ \text{speed} &= \frac{756000}{50400} = 15 \text{ m/s} \end{aligned} \]
The speed in km/h is \(756 \div 14 = 54\), and 54 m/s is the trap of forgetting to convert it: \(54 \times \frac{5}{18} = 15\). 900 is the speed in metres per minute, \(54000 \div 60\), and 30 m/s doubles the true value.
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