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 1131\frac{1}{3} and 2252\frac{2}{5} hours, respectively. At what speed has the second man cycled if the first cycles at 16 km/h?

Updated On: Jan 30, 2025
  • 161616\frac{1}{6} km/h
  • 181218\frac{1}{2} km/h
  • 111911\frac{1}{9} km/h
  • 131313\frac{1}{3}
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The Correct Option is C

Solution and Explanation

Distance travelled by A and B is same.
Time taken by A to complete the journey =53=\frac{5}{3} h

Speed at which A travelled =16=16km/h
Distance travelled by A =53×16=\frac{5}{3}\times16 =803=\frac{80}{3} km

Now, speed of the second man is given by, 

=803125=\frac{\frac{80}{3}}{\frac{12}{5}}

=80×53×12=\frac{80\times5}{3\times12}
 
=1009=1119=\frac{100}{9}=11\frac{1}{9} km/hr

Hence, option C is the correct answer.The correct option is (C): 111911\frac{1}{9} km/h
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