A streamer goes downstream and covers the distance between two po… - Vidyadip

MCQ

A streamer goes downstream and covers the distance between two ports in $5$ hours, while it covers the same distance upstream in $6$ hours. If the speed of the stream is $1\ km/h,$ find the speed of the streamer in still water and the distance between two ports.

A
$18\ km/ hr$
✓
$60\ km/ hr$
C
$15\ km/ hr$
D
$24\ km/ hr$

✓

Answer

Correct option: B.

$60\ km/ hr$

Given,
Speed of the stream in still water $= 1\ km/ hr$
Let speed of the streamer $= x \ km/ hr$
Speed downstream $= (x + 1)\ km/ hr$
Speed upstream $= (x - 1)\ km/ hr$
According to the given condition,
$(x + 1) × 5 = (x - 1) × 6$
$5x + 5 = 6x - 6$
$x = 11$
Hence, Speed of streamer in still water is $11\ km/ hr$ and
Distance between two ports $= (11 + 1) × 5 = 60\ km/ hr.$

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