Algebra's waterbody of boats

Algebra Level 3

A boat takes 6 hours to travel 8 km upstream and 32km downstream , and it takes 7 hours to travel 20 km upstream and 16km downstream . Find the speed of the boat in still water.

6 km/hr 8 km/hr 20 km/hr 16 km/hr

Satvik Shenoy by Satvik Shenoy , 21

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2 solutions

Khaled Magdy
Feb 21, 2015

Vaverage= total distance/total time=16+8+20+32/6+7 aproxmatily =6

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Jhon Ramdani
Feb 7, 2015

eg, the speed upstream = x and the speed downstream = y

(20/x) + (16/y) = 7

(8/x) + (32/y) = 6

elemination y, so : 32/x = 8

x = 4

(20/4) + (16/y) = 7

5 + (16/y) = 7

16/y = 2

y = 8

the speed of the boat in still water is mean x and y = (4+8)/2 = 6 km/hr

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