A dog is chasing a rabbit that has a head start of 150 feet. It jumps 9 feet every time the rabbit jumps 7 feet. In how many leaps does the dog catch up with the rabbit?
Given: Head start = 150 feet Dog's jump = 9 feet Rabbit's jump = 7 feet
Step 1: Calculate gain per leap. Gain per leap = 9 - 7 = 2 feet
Step 2: Calculate number of leaps needed. Number of leaps = 150 ÷ 2 = 75 leaps
Answer: The dog catches up with the rabbit in 75 leaps.
Explanation
This is a relative speed problem. The rabbit has a 150 feet head start. In each leap, the dog covers 9 feet while the rabbit covers 7 feet. The dog gains 2 feet per leap on the rabbit. To close the 150 feet gap, the dog needs 150 ÷ 2 = 75 leaps.
Solution Steps
Step 1: Calculate the head start = 150 feet.
Step 2: Calculate gain per leap = 9 - 7 = 2 feet.
Step 3: Number of leaps needed = 150 ÷ 2 = 75 leaps.