A boat travels 50km east then 120 km north and comes back to the point through the shortest distance .the total time of journey is 3 hours .what is the average velocity in km/hr
Answers
solution:
The path of the boat during its journey is in the form of a right triangle and the shortest distance is a actually the hypotenuse
which has a value = root of [(50)²+(120)²}=130km
average speed = total distance travelled /total time
=(50+120+130)/3
=300/3
100km/hr
Answer:
100. km/hr
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Explanation:
★ Solution :-
According to the given question ,
The boat moves 50 km towards the east (AB)
Then, the boat moves 120 km towards the north
(AC )
Then ,the boat comes back to it's starting point through the shortest distance
Here , the boat is moving in a right angled triangle so the shortest distance will be it's hypotenuse
In ∆ ABC ,
_______________
Total distance covered by the boat (d)
Total distance covered by the boat =300 km
Total time taken = 3 h
We need to find the average speed of the boat over the entire trip
we know that ,
Now , let's substitute the given values in the above equation ,
The average speed of the boat over the entire trip is 100 km /hr
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