Question

A dog takes four leaps for every five leaps of a hare, but three leaps of the dog are equal to four leaps of the hare. Compare speeds.

(a) 12:16
(b) 19:20
(c) 16:15
(d) 10:12

Answer 1

To compare the speeds of the dog and the hare, we can set up a ratio using the given information. The correct ratio is (c) 16:15.

Step-by-step explanation:

To compare the speeds of the dog and the hare, we can set up a ratio using the given information. Let's assume that the dog takes 4 leaps in a certain amount of time, and the hare takes 5 leaps in the same amount of time. Since 3 leaps of the dog are equal to 4 leaps of the hare, we can set up the following ratio:

Dog's speed: Hare's speed = 4 leaps : 5 leaps = 3 leaps : 4 leaps

Now we can simplify the ratio by dividing both sides by 4:

Dog's speed: Hare's speed = 3/4 : 1

This means that the dog's speed is 3/4 times the speed of the hare. Therefore, the correct option is (c) 16:15.