a) 2 : 3
b) 4 : 3
c) 6 : 7
d) 9 : 16
Answer: b
Explanation:
$$\eqalign{
& {\text{Let}}\,{\text{us}}\,{\text{name}}\,{\text{the}}\,{\text{trains}}\,{\text{as}}\,{\text{A}}\,{\text{and}}\,{\text{B}}{\text{.}}\,{\text{Then}}, \cr
& \left( {{\text{A’s}}\,{\text{speed}}} \right):\left( {{\text{B’s}}\,{\text{speed}}} \right) \cr
& = \sqrt b :\sqrt a \cr
& = \sqrt {16} :\sqrt 9 \cr
& = 4:3\, \cr} $$
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