Question

A man misses a bus by 40 minutes, if he travels at $30kmph$. If he travels at $40kmph$, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?

• A. $45km/h$
• B. $60km/h$
• C. $30km/h$
• D. $75km/h$

Answer 1

Answer: (A)

Let the distance to be travelled to catch the bus be $xkm$.
$\frac{x}{30}-\frac{x}{40}=\frac{30}{60}$
$\frac{4x-3x}{120}=\frac{30}{60}\Rightarrow x=60km$
By travelling $30kmph$ time taken $=\frac{60}{30}=2$ hours
By taking 2 hours, he is late by $40min$. So, he has to cover $60km$ in 1 hour $20min$ to catch the bus.
The minimum speed $=\frac{60}{\frac{4}{3}}=45kmph$.