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Anettt [7]
3 years ago
11

A small boat traveled 29.5 miles upstream in 2 hours. The same boat took 3 hours to travel 59.25 miles downstream. If the speed

and direction of the water was the same in both directions, find the speed of the boat in still water and the speed of the current.
Mathematics
1 answer:
mel-nik [20]3 years ago
5 0

Answer:

  • boat speed: 17.25 mph
  • current: 2.5 mph

Step-by-step explanation:

Upstream, the speed of the current (c) subtracts from the speed of the boat (b) to give the net speed. Downstream, the speed of the current adds. We can make use of the relation ...

  speed = distance/time

  b-c = 29.5/2 = 14.75 . . . . . miles/hour

  b+c = 59.25/3 = 19.75 . . . .miles/hour

Subtracting the first equation from the second, we get ...

  (b+c) -(b-c) = 19.75 -14.75

  2c = 5

  c = 2.5

Then either equation can be used to find b:

  b = 14.75 +c = 17.25

The speed of the boat in still water is 17.25 miles per hour; the speed of the current is 2.5 miles per hour.

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Vlad1618 [11]

Answer:

a = 3 7/18 or 3.388889

Step-by-step explanation:

First, you want to get the a by itself, so you would subtract 4 from the left side of the equals sign.

6a + 4 = 61 / 3 + 4

    -4                   -4

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By doing that, they cancel each other out, so you are left with

6a = 61 / 3

Then you want to get a by itself, so you divide 6 from both sides.

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Remember that 6 can also be written as 6/1

Remember that dividing a fraction is multiplying the reciprocal.

6a / 6 = 61 / 3  /  6 / 1

When dividing fractions remember to Skip the first fraction, Flip the second fraction, and Multiply the two fractions together.

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skip   multiply   flip

Multiply across the top, and across the bottom.

61(1) and 3(6)

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61 / 18

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Answer:

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