Question

A person travels 285 km in 6 hrs. First he took a bus and travelled at the speed of 40 km per hr. In the second part of the journey, he took a bus and travelled at the speed 55 km per hr. What distance did he travel by train?

• A. 138.33 km
• B. 172.5 km
• C. 156 km
• D. 142.5 km
• E. 124 km

Answer 1

The correct option is D

142.5 km

$\text{In this question, the alligation method is applicable for the speed.}$

$\therefore \text{time spent in bus : time spent in train}=\frac{45}{6}:\frac{45}{6}=1:1\therefore \text{Distance travelled by train}=\frac{285}{2}=142.5km$