A streamer goes downstream from one port to another in 8 hours. It covers the same distance upstream in 16 hours If the speed of the man in 3 km / hr, then the distance between the two ports is?

# A streamer goes downstream from one port to another in 8 hours. It covers the same distance upstream in 16 hours If the speed of the man in 3 km / hr, then the distance between the two ports is?

1. A

84

2. B

90

3. C

80

4. D

96

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### Solution:

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

Now, speed of  streamer in downstream = (x + 3) km/hr

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

$=8x+24\text{\hspace{0.17em}\hspace{0.17em}}km/hr$

Speed of  streamer in upstream = (x – 3) km/hr

$So,\text{\hspace{0.17em}\hspace{0.17em}distance}=\left(x-3\right)×16$$=\left(16x-48\right)\text{\hspace{0.17em}\hspace{0.17em}}km/hr$

$Speed\text{\hspace{0.17em}\hspace{0.17em}}of\text{\hspace{0.17em}\hspace{0.17em}}boat⇒8x+24=16x-48$

$8x=72$

$x=9\text{\hspace{0.17em}}km/hr$

$\therefore \text{\hspace{0.17em}\hspace{0.17em}Distance}=\left(8x+24\right)\text{\hspace{0.17em}\hspace{0.17em}}km/hr$

$=\left(8×9+24\right)$

$=\left(72+24\right)=96$

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