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andrezito [222]
3 years ago
7

A motorboat takes 3 hours to travel 108 kilometers going upstream. The return trip takes 2 hours going

Mathematics
1 answer:
IRISSAK [1]3 years ago
6 0

Answer:

  • 45 km/h and 9 km/h

Step-by-step explanation:

Let the rate of boat in still water be b and the speed of the current be c

  • Speed downstream = b + c
  • Speed upstream = b - c

<u>We got equations for time:</u>

  • 108/(b - c) = 3 ⇒ b - c = 36
  • 108/(b + c) = 2 ⇒ b + c = 54

<u>Add up the equations:</u>

  • b - c + b + c = 36 + 54
  • 2b = 90
  • b = 45 km/h

<u>Then finding the values of c</u>

  • c = 45 - 36 = 9 km/h
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The slope is rise/run = 2/1 = 2 because "y increases by 2 each time x increases by 1".

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