A pig takes 4 leaps for every 5 leaps of a goat but 3 leaps of a pig are equal to 4 leaps of the goat. Compare their speeds.
Question
A pig takes 4 leaps for every 5 leaps of a goat but 3 leaps of a pig are equal to 4 leaps of the goat. Compare their speeds.
Solution
To compare their speeds, we need to find a common measure. Let's use the distance covered by each animal in their respective leaps.
Step 1: Let's assume the length of a pig's leap is P and the length of a goat's leap is G. According to the problem, 3P = 4G.
Step 2: In the time it takes for a pig to make 4 leaps, a goat makes 5 leaps. So, the distance covered by the pig in this time is 4P and the distance covered by the goat is 5G.
Step 3: We can substitute the value of P from step 1 (P = 4G/3) into the equation from step 2 to compare the distances covered by each animal in the same amount of time.
For the pig: 4P = 4*(4G/3) = 16G/3 For the goat: 5G
Step 4: Now we can compare these distances. If 16G/3 > 5G, then the pig is faster. If 16G/3 < 5G, then the goat is faster.
Solving the inequality 16G/3 > 5G gives G < 0, which is not possible because the length of a leap cannot be negative.
Solving the inequality 16G/3 < 5G gives G > 0, which is always true because the length of a leap is a positive quantity.
So, the goat is faster than the pig.
Similar Questions
A cat takes 5 leaps for every 4 leaps of a dog, but 3 leaps of the dog are equal to 4 leaps of the cat. What is the ratio of the speed of the cat to that of the dog?
6 pigs cost the same as 9 sheep. 27 sheep cost the same as 30 goats. 50 goats cost the same as 3 elephants. If two elephants cost $4800, then the cost of one pig in dollar is
If a bee flies from a petunia to a marigold, and then returns to the petunia,Group of answer choiceshis average speed was greater than his average velocity.his average velocity was greater than his average speed.his average speed was equal to his average velocity.
Select the correct answerTwo donkeys are standing 400 metres apart. First donkey can run at a speed of 3 m/sec and the second can run at 2 m/sec. If two donkeys run towards each other after how much time (in sec) will they bump into each other?Options604004080
Consider a string with several rocks tied along its length at equally spaced intervals. You whirl the string overhead so that the rocks follow circular paths. Compared with a rock at the end of the string, a rock at the middle moves Group of answer choiceshalf as fast.twice as fast.triple as fastat the same linear speed.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.