Question

A man starts cycling from A to B and, at the same time, another man starts cycling from B to A along the same path. They completed their journeys in \(1\frac{1}{3}\) and \(2\frac{2}{5}\) hours, respectively. At what speed has the second man cycled if the first cycles at 16 km/h?

• A. \(16\frac{1}{6}\) km/h
• B. \(18\frac{1}{2}\) km/h
• C. \(11\frac{1}{9}\) km/h
• D. \(13\frac{1}{3}\)

Answer 1

The Correct Option is C

Distance travelled by A and B is same.
Time taken by A to complete the journey \(=\frac{5}{3}\) h

Speed at which A travelled \(=16\)km/h
Distance travelled by A \(=\frac{5}{3}\times16\) \(=\frac{80}{3}\) km

Now, speed of the second man is given by, 

S \(=\frac{\frac{80}{3}}{\frac{12}{5}}\)

S \(=\frac{80\times5}{3\times12}\)
 
S \(=\frac{100}{9}=11\frac{1}{9}\) km/hr

Hence, option C is the correct answer.The correct option is (C): \(11\frac{1}{9}\) km/h