Question : The speeds of A and B are in the ratio 3 : 5. A takes 30 minutes more than B to reach the destination. In how much time does A reach the destination?
Option 1: 1 hour 15 minutes
Option 2: 1 hour 10 minutes
Option 3: 1 hour
Option 4: 1 hour 5 minutes
Correct Answer: 1 hour 15 minutes
Solution :
The ratio of speeds of A and B = $3:5$
$\therefore$ The ratio of time of A and B = $5:3$
Let the times for A and B be $5x$ and $3x$.
A takes = 30 minutes more than B
Time difference = $5x - 3x = 2x$
And given time difference = 30 mins
Thus, $2x=30$
⇒ $x = 15$ minutes
$\therefore$ Time taken by A = $5x$ = 5 × 15 = 75 minutes = 1 hour 15 minutes
Hence, the correct answer is 1 hour 15 minutes.
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