Question

a lake is 200 ft wide. two boats are on opposite sides of the lake when they start to move toward each other. each minute, one of the boats travels 40 ft, and the other travels 30 ft. How far apart will the boats be in 2 minute

Answer 1

After 2 minutes, the two boats traveling towards each other on a 200 ft wide lake will be 60 ft apart.

Step-by-step explanation:

The question involves calculating the distance between two boats as they travel towards each other on a lake. Initially, the lake is 200 ft wide. Each minute, one boat covers 40 ft, and the other covers 30 ft. To find how far apart the boats will be after 2 minutes, we need to calculate the total distance each boat travels in 2 minutes and subtract this from the initial width of the lake.

• Boat 1 travels 40 ft/min, so in 2 minutes, it will travel 40 ft/min × 2 min = 80 ft.
• Boat 2 travels 30 ft/min, so in 2 minutes, it will travel 30 ft/min × 2 min = 60 ft.
• The boats cover a combined distance of 80 ft + 60 ft = 140 ft in 2 minutes.
• The remaining distance between the boats after 2 minutes is 200 ft - 140 ft = 60 ft.

Therefore, after 2 minutes the boats will be 60 ft apart.