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

Answer: (C)

$4\frac{3}{8}$ km

Answer 2

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