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A boat covers a certain distance downstream in 0.8 hour, while it comes back in 1.6 hour. If the speed of the stream be 5 km/hr, what is the speed of the boat in still water?

  1. 18 km/hr
  2. 15 km/hr
  3. 16 km/hr
  4. 22 km/hr

Answer (Detailed Solution Below)

Option 2 : 15 km/hr
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Detailed Solution

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Let the speed of the boat in still water be x km/hr

Speed downstream = (x + 5) km/hr

Speed upstream = (x − 5) km/hr

Distance of downstream = Distance of Upstream

∴ (x + 5) × 0.8 = (x − 5) × 1.6

⇒ 0.8x + 4 = 1.6x – 8

⇒ 0.8x = 12 km/hr

⇒ x = 15 km/hr

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Q1.A boat can covers a certain distance in upstream and same distance in downstream in total of 7 hours 48 minutes, If upstream speed of the boat is 62.5%. of downstream speed of the boat and speed of the stream is 3 km/h, what is the total distance covered by the boat?
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Q1.Train A of length 80m while moving crosses a pole in 16 seconds. lf it is known that the lengths of train B and train A is in the ratio of 3:1, then how long would it take train B to cross a platform which is half the length of train A if the speed of train B is same as that of train A?
Q2.A boat can covers a certain distance in upstream and same distance in downstream in total of 7 hours 48 minutes, If upstream speed of the boat is 62.5%. of downstream speed of the boat and speed of the stream is 3 km/h, what is the total distance covered by the boat?
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