A) 15 km/h
B) 18 km/h
C) 10 km/h
D) 8 km/h
Correct Answer: B
Solution :
[b] Let speed of A = a km/h and speed of B = b km/h When both are in same direction, Relative speed \[\text{=}\frac{\text{Distance}}{\text{Time}}\] \[\Rightarrow \] \[a-b=\frac{15}{\frac{5}{2}}\]\[\Rightarrow \] \[a-b=6\] (i) When both are in opposite direction, Relative speed \[\text{=}\frac{\text{Distance}}{\text{Time}}\] \[\Rightarrow \] \[a+b=\frac{15}{\frac{1}{2}}\]\[\Rightarrow \] \[a+b=30\] (ii) Solving Eq. (i) and (ii), we get a = 18 km/h and b = 12 km/h Hence, speed of faster man = 18 km/h |
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