a) 9 a.m.
b) 10 a.m.
c) 10.30 a.m.
d) 11 a.m.
Answer: b
Explanation:
$$\eqalign{
& {\text{Suppose}}\,{\text{they}}\,{\text{meet}}\,x\,{\text{hours}}\,{\text{after}}\,{\text{7}}\,{\text{a}}{\text{.m}}. \cr
& {\text{Distance}}\,{\text{covered}}\,{\text{by}}\,{\text{A}}\, \cr
& {\text{in}}\,x\,{\text{hours = 20x}}\,{\text{km}}{\text{.}} \cr
& {\text{Distance}}\,{\text{covered}}\,{\text{by}}\,{\text{B}} \cr
& \,{\text{in}}\,\left( {x – 1} \right)\,{\text{hours}} = 25\left( {x – 1} \right)\,km \cr
& 20x + 25\left( {x – 1} \right) = 110 \cr
& 45x = 135 \cr
& x = 3 \cr
& {\text{So,}}\,{\text{they}}\,{\text{meet}}\,{\text{at}}\,{\text{10}}\,{\text{a}}{\text{.m}}{\text{.}}\, \cr} $$
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