Question

A person travels 285 km in 6 hrs in two stages. In the first part of the journey, he travels by bus at the speed of 40 km per hr. In the second part of the journey, he travels by train at the speed of 55 km per hr. How much distance did he travel by train?

• A. 165 km
• B. 145 km
• C. 205 km
• D. 185 km

Answer 1

The Correct Option is A

Let the person travel be train = \(x\) hours
Person travel by bus = \((6 - x)\)
The distance traveled by train = \(55 \times x\)
The distance traveled by bus = \(40 \times(6 - x)\)
\(\Rightarrow\;\)\(40 (6 - x) + 55x = 285\)
\(\Rightarrow\;\)\(240 - 40x + 55x = 285\)
\(\Rightarrow\;\)\(15x = 285 - 240\)
\(\Rightarrow\;\)\(15x = 45\)
\(\Rightarrow\;\)\(x = \frac{45}{15}\)
\(\Rightarrow\;\)\(x = 3 \; hours\)
Distance traveled by train = \(55 \times3=165 \;Km\)

The correct option is (A): 165 km