Question

A bike covers a distance of 5000 m in 5 minutes whereas a train covers a distance of 100 km in 50 minutes. Find how many times the train is faster than the bike.

• A. 2

Answer 1

The correct option is A 2

$\text{Given, the bike covers 5000 m in}\text{5 minutes.}\text{We know that, 1 minute = 60 seconds.}\text{Then, 5 min = 300 seconds.}$

$\therefore \text{Speed}=\frac{\text{Distance travelled}}{\text{Time}}\text{Speed of the bike}=\frac{5000}{300}=\frac{50}{3}m/s$

$\text{Given: Train covers 100 km in 50 min.}$

$\text{100 km = 100000 m}[\because 1km=1000m]$

$50\text{min}=50\times 60=3000s$

$\text{Speed of the train}=\frac{100000}{3000}=\frac{100}{3}m/s$

$\frac{\text{Speed of train}}{\text{Speed of bike}}=\frac{\frac{100}{3}m/s}{\frac{50}{3}m/s}=2$

$\text{So, the train moves 2 times faster}\text{than the bike.}$