A boat covers 14 km upstream and 20 km downstream in 7 hours also it covers 22 km upstream and 34 km downstream in 10 hours find the speed of boat in still water and in that of stream.
Answers
Step-by-step explanation:
The boat covers 14 km ups
and 20 km ds at time 7 hrs
also cover 22 km ups
and 34 dwn in 10 hrs
total speed = total distance / total time
total distance = 14 + 20 + 22 + 34 = 90
total time = 7 + 10 = 17 hrs
by formula 90 / 17
5.294km / h
5.29 km / h the speed of boat in still water is 5.29 km/ h
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Step-by-step explanation:
Let the speed of the stream be x
In first case,
Given, Time taken = 7 hours
While going upstream,
Given, Distance = 14 km
Speed of the boat = 14/7 = 7
Speed in still water = 7-x
While going downstream,
Given, Distance = 20 km
Speed of the boat = 20/7
Speed in still water = 20/7 + x
In second case,
Given, Time taken = 10 hours
While going upstream,
Given, Distance = 22 km
Speed of the boat = 22/10
Speed in still water = 22/10 - x
While going downstream,
Given, Distance = 34 km
Speed of the boat = 34/10
Speed in still water = 34/10 + x.
By condition,
In first case,
7 - x = 20/7 + x
=> - x - x = 20/7 - 7
=> - 2x = 20 - 49 / 7
=> - 2x = - 29 / 7
=> 2x = 29 / 7
=> 14x = 29 => x = 29/14
In second case,
22/10 - x = 34/10 + x
=> - x - x = 34/10 - 22/10
=> - 2x = 12/10
=> - 20x = 12
=> x = 12/-20 => x = - 3/5.
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