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A) 52 |

B) 44 |

C) 48 |

D) 36 |

Correct Answer:

B) 44 |

Description for Correct answer:

Speed of current = x kmph

\( \Large \therefore \) Speed of the boat in still water = 7x kmph

\( \Large \therefore \) Rate upstream

7x - x = 6x kmph

\( \Large \therefore \frac{Distance}{speed} = time \)

=> \( \Large \frac{4.2}{6x} = \frac{14}{60} \)

=> \( \Large 14x = 42 => x = \frac{42}{14} = 3 \)

Rate downstream

= 7x + x = 8x

\( \Large 8 \times 3 = 24 \ kmph \)

Time taken in covering 17.6 km

= \( \Large \frac{17.6}{24} \ hour \)

= \( \Large (\frac{17.6 \times 60}{24} ) \ minutes \)

= 44 minutes

Speed of current = x kmph

\( \Large \therefore \) Speed of the boat in still water = 7x kmph

\( \Large \therefore \) Rate upstream

7x - x = 6x kmph

\( \Large \therefore \frac{Distance}{speed} = time \)

=> \( \Large \frac{4.2}{6x} = \frac{14}{60} \)

=> \( \Large 14x = 42 => x = \frac{42}{14} = 3 \)

Rate downstream

= 7x + x = 8x

\( \Large 8 \times 3 = 24 \ kmph \)

Time taken in covering 17.6 km

= \( \Large \frac{17.6}{24} \ hour \)

= \( \Large (\frac{17.6 \times 60}{24} ) \ minutes \)

= 44 minutes

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