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Tim and a friend left a campsite on a trip down a river in a canoe, maintaining a constant speed of 4 mph. Four hours later, Tim's father set out after them in a motorboat carrying the camping supplies. The motorboat traveled at a rate of 12 mph. How long after he started did Tim's father overtake the Boys? How far from the campsite were they at the time.

Respuesta :

absor201

Tim's father will overtake the boys after two hours. They will be 24 miles away from campsite at the time.

Step-by-step explanation:

Given,

Speed maintained by Tim = 4 mph

Time = 4 hours

Distance covered in four hours = Speed * Time

Distance covered in four hours = 4*4 = 16 miles

Let,

x be the time.

y be the distance.

y = 4x+16      Eqn 1

Speed of motorboat = 12 mph

y = 12x          Eqn 2

As father will cover the same distance;

Eqn 1 = Eqn 2

[tex]4x+16=12x\\16=12x-4x\\16=8x\\8x=16[/tex]

Dividing both sides by 8

[tex]\frac{8x}{8}=\frac{16}{8}\\x=2[/tex]

Putting x = 2 in Eqn 2

[tex]y=12(2) \\y=24[/tex]

Tim's father will overtake the boys after two hours. They will be 24 miles away from campsite at the time.

Keywords: equation, division

Learn more about division at:

  • brainly.com/question/10081622
  • brainly.com/question/10341324

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