Speed of a boat is 25 km per hour in still water and the speed of the stream is 5 km per hour If the...........

Quant (SSC) Boats and Streams

Speed of a boat is 25 km per hour in still water and the speed of the stream is 5 km per hour. If the boat takes 15 hrs to go to a place and come back, the distance of the place is

180 km

160 km

164 km

220 km

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Explanation:

Let the required distance be x km, then As per the question, Time_downstream + Time_upstream = Total time
⇒ x /(25 + 5) + x /(25 - 5) = 15
⇒ x/30 + x/20 = 15
⇒ 2x + 3x /60 = 15
⇒ 5x = 60 x 15
⇒ x = 180 km