A streamer goes downstream from one port to another in 6 hours. It covers the same distance upstream in 8 hours. If the speed of the stream in 3 km / hr, then the distance between the two ports is?

# A streamer goes downstream from one port to another in 6 hours. It covers the same distance upstream in 8 hours. If the speed of the stream in 3 km / hr, then the distance between the two ports is?

1. A

155

2. B

144

3. C

133

4. D

166

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### Solution:

Solution: Let the speed of  steamer in still water is x km/h

Now,

Speed of  steamer in downstream is (x + 3) km/hr

So, distance $=\left(x+3\right)×6\text{\hspace{0.17em}}km$

$=\left(6x+18\right)\text{\hspace{0.17em}}km$

Speed of  steamer in upstream is (x – 3) km/hr

So, distance  $=\left(x-3\right)×8\text{\hspace{0.17em}}km$

$=\left(8x-24\right)\text{\hspace{0.17em}}km$

Speed of  boat $⇒$

$6x+18=8x-24$

$6x-8x=-18-24$

$-2x=-\text{\hspace{0.17em}}42$

$x=21km/hr$

$\therefore \text{\hspace{0.17em}\hspace{0.17em}Distance}=\left(6x+18\right)\text{\hspace{0.17em}\hspace{0.17em}}km$

$=\left(6×21+18\right)$

$=144\text{\hspace{0.17em}}km$

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