Question

A grey hound pursues a hare and take $5$ leaps for every $6$ leaps of the hare, but $4$ leaps of the hound are equal to $5$ of the hare; then the ratio of the speeds of hound and hare are

• A. $24:25$
• B. $25:24$
• C. $5:6$
• D. $6:2$

Answer 1

The correct option is B $25:24$

$5$ leaps of hound $=6$ leaps of hare
$\therefore$ speed of hound : speed of hare $=5$ leaps of hound $:6$ leaps of hare
Now $4$ leaps of the hound $=5$ leaps of the hare
$\therefore 5$ leaps of the hound
$=\frac{5}{4}\times 5$ leaps of the hare
$=\frac{25}{4}$ leaps of the hare
$\therefore$ Ratio of their speeds $=\frac{25}{4}:6=25:24$.