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The speeds of a boat in still water and of the stream are in the ratio 4 : 1. The boat covers 30 km downstream in 3 hours. How long will it take to cover the same distance upstream ?

  • A.4 hours
  • B.5 hours
  • C.6 hours
  • D.7.5 hours

Answer: C

Correct answer: 5 hours

Let the speeds be \(4k\) and \(k\), so downstream is \(5k\) and upstream \(3k\).

\[5k = \frac{30}{3} = 10 \quad\Longrightarrow\quad k = 2\]

The upstream speed is \(3k = 6\) km/hr, so

\[\text{Time} = \frac{30}{6} = 5 \text{ hours}\]

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