Question

Two siblings are racing. The older sibling can run at a constant speed of 11 feet per second. The younger sibling can run at a constant speed of 7 feet per second. If the younger sibling is given a 32-foot head start in the race, how long will it take the older sibling to catch the younger sibling, and how far will the older sibling have run at that moment?(1 point)

The older sibling will catch the younger sibling after
second(s) and running
feet.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The time it takes for the older sibling to catch up to the younger sibling can be calculated using the formula:

Distance = Speed * Time

Let x be the time it takes for the older sibling to catch up to the younger sibling. At that moment, the younger sibling will have run 32 feet (head start) + 7x feet, and the older sibling will have run 11x feet.

Since they will meet at the same point, the distance traveled by both siblings will be the same:

32 + 7x = 11x

Subtracting 7x from both sides:

32 = 4x

Dividing by 4:

x = 8

So, it will take the older sibling 8 seconds to catch up to the younger sibling. At that moment, the older sibling will have run 11 * 8 = 88 feet.