Question

Two men A and B start walking from a place 'X' at \(4\frac{1}{2}\) km/h and \(5\frac{3}{4}\) km/h respectively. How many km apart will they be at the end of \(3\frac{1}{2}\) hours if they are walking in the same direction?

• A. \(4\frac{1}{2}\) km
• B. \(5\frac{3}{4}\) km
• C. \(4\frac{3}{8}\) km
• D. \(35\frac{7}{8}\) km

Answer 1

The Correct Option is C

Relative speed between A and B is given by,

\(\frac{23}{4}-\frac{9}{2}=\frac{23-18}{4}=\frac{5}{4}\) km/hr

Total number of km's away is given by,

D \(=\frac{5}{4}\times\frac{7}{2}\)

D \(=\frac{35}{8}\) (or) \(4\frac{3}{8}\) km

Hence, option C is the correct answer.The correct option is (C): \(4\frac{3}{8}\) km