A lake is 200 ft wide. Two boats start to move towards one another from opposite shores. In one minute the first boat goes 40 ft and the second one goes 30 ft. What would be the distance between the boats after one minute? What would be the distance between the boats two minutes after they began to move?

Question

Mathematics

Mallory Maldonado

9 July, 05:30

A lake is 200 ft wide. Two boats start to move towards one another from opposite shores. In one minute the first boat goes 40 ft and the second one goes 30 ft. What would be the distance between the boats after one minute? What would be the distance between the boats two minutes after they began to move?

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Answers (1)

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Orion Weber · Answer 1

After one second, 130 ft

After two second, 60 ft

Step-by-step explanation:

Both boats are moving towards each other,

Speed of first boat = 40 ft/min.

Speed of second boat = 30 ft/min.

So, In one Second they must have covered a total distance of 40 + 30 ft

= 70 ft.

Total width of the lake = 200 ft

So, Distance remained between them after one second = 200 - 70 = 130 ft.

After two seconds, First boat will move my 80 ft and second one will move by 60 ft

So, distance between them will decrease by 140 ft.

Distance between the boats after two seconds = 60 ft.