Question : A and B started travelling towards each other at the same time, from places X to Y and Y to X, respectively. After crossing each other, A and B took 2.45 hours and 4.05 hours to reach Y and X, respectively. If the speed of B was 8.4 km/hr, then what was the speed (in km/hr) of A?
Option 1: 10.8
Option 2: 11.7
Option 3: 12.6
Option 4: 9.9
Correct Answer: 10.8
Solution :
$\frac{\text{Speed of A}}{\text{Speed of B}}$ = $\sqrt{\frac{\text{Time Taken by B after crossing A }}{\text{ Time Taken by A after crossing B}}}$
According to the question
$\frac{\text{Speed of A}}{8.4}=\sqrt{\frac{4.05}{2.45}}=\sqrt{\frac{81}{49}}$
$\therefore$ Speed of A $=\frac{9}{7} × 8.4= 10.8$
Hence, the correct answer is 10.8.
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