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21 June, 03:36

A boat travels 60 km upstream

(against the current) in 5 hours.

The boat travels the same distance

downstream in 3 hours. What is the

rate of the boat in still water? What

is the rate of the current?

+2
Answers (1)
  1. 21 June, 06:25
    0
    16 km/h ... still water boat rate

    4 km/h ... Current rate

    Step-by-step explanation:

    The speed of the boat supposed to be x km/h

    The current rate is y km/h

    (x + Y) * 3 = 60

    (x - y) * 5 = 60

    3x + 3y = 60 ... ①

    5x - 5y = 60 ... ②

    ① * 5 ... 15x + 15y = 300 ... ①'

    ② * 3 ... 15x - 15y = 180 ... ②'

    ①' - ②' ... 30y = 120

    Y = 4 km/h ... Current rate

    15x = 300 - 15*4 = 240

    X = 16 km/h ... still water boat rate
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