Posted by Anjali Kaur on Dec 09, 2021

Boats and Streams

Boats and Streams, applied mathematics, class XII.

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Speed of boat in still water = x Km/hr

Speed of stream = y Km/hr

Downstream speed, u = (x+y) Km/hr

Upstream speed, v = (x-y) Km/hr

Speed of boat;

Speed of stream;

If a boat covers a distance ‘d’ Km downstream in T1 hours and covers the same distance upstream in T2 hours; then 

Average Speed = Total distance / Total Time = 2d/ (t1 + t2)

Average speed = {(x+y) (x -y)}/ x = Downstream speed x upstream speed/ speed in still water

Distance between 2 places; If a boat takes ’t’ hours to row to a certain place ‘d’ Km apart and returns back, then

D = {t(x+y) (x-y)} / 2x  or = t (x square – y square) / 2x

If a boat takes ’t’ hours more in going upstream than downstream for covering the same distance, d then 

Distance between 2 places, 

Thank You!

You can check the following posts related to applied mathematics:

  1. Logical Reasoning – Basics
  2. What are functions?
  3. What is probability?
  4. Relations and functions
  5. Sets and Venn diagram
  6. What are the different types of sets?
  7. Set theory

Happy Learning!

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