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chubhunter [2.5K]
3 years ago
8

A motorboat travels 204 kilometers in 6 hours going upstream. It travels 372 kilometers going downstream in the same amount of t

ime. What is the rate of the boat in still water and what is the rate of the current?
Mathematics
1 answer:
Arturiano [62]3 years ago
5 0

9514 1404 393

Answer:

  • boat: 48 km/h
  • current: 14 km/h

Step-by-step explanation:

The upstream speed is ...

  u = (204 km)/(6 h) = 34 km/h

The downstream speed is ...

  d = (372 km)/(6 h) = 62 km/h

The speed of the boat in still water is the average of these values:

  b = (34 kph +62 kph)/2 = 48 kph

The speed of the water is the difference between the boat's speed and the speed made good:

  w = 48 -34 = 14 . . . km/h

The rate of the boat in still water is 48 km/h. The rate of the current is 14 km/h.

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Answer:

The answer is

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Step-by-step explanation:

In order to solve this question we use ratio and proportion

From the question

Day Drive 270 miles in 6 hours

So in order to find the distance drove in 13 hours, we compare the distance drove in 6 hours to the distance drove in 13 hours and solve

That's

if in 6 hours Day drove 270 miles

Then in 13 hours the person will drive

\frac{13  \times 270}{6}  =  \frac{3510}{6}

We have the final answer as

<h3>585 miles</h3>

Hope this helps you

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