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Q.

A motorboat whose speed is 18 km/hr in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream. ____.

Chapter/Topic: Playing with Numbers

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Detailed Solution

Speed of boat in still water = 18km/hr
Let speed of the stream = s
Speed of boat upstream = Speed of boat in still water - speed of stream = 18−s
Speed of boat downstream = Speed of boat in still water + speed of stream = 18+s

Time taken for upstream = Time taken to cover downstream + 1

\frac{Speed Upstream}{Distance Upstream}

. =

\frac{Speed Downstream}{Distance Downstream}

. +1

\frac{24}{18 - s}

.=

\frac{24}{18 + s}

.+1
24(18+s)=24(18−s)+(18−s)(18+s)
s2+48s−324=0
s2+54s−6s−324=0
(s+54)(s−6)=0
s = 6,−54
s= −54
Thus, s = 6km/hr, Speed of steam cannot be negative.

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A motorboat whose speed is 18 km/hr in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream. ____.Chapter/Topic: Playing with Numbers