If sum of upstream and downstream speed of a boat is 82 kmph, and the boat travels 105 km. upstream in 3 hr, Find the time taken by boat to cover 126 km downstream.???
Answers
Answer:
hlo
your answer is here !
Step-by-step explanation:
Let Speed of boat in still water = b
Let Speed of still water = w
Then we know that,
Speed of Upstream = U = boat - water
Speed of Downstream = D = boat + water
Given, U + D = 82
b - w + b + w = 82
2b = 82
=> b = 41 kmph
From the given data,
41 - w = 105/3 = 35
w = 6 kmph
Now,
b + w = 126/t
=> 41 + 6 = 126/t
=> t = 126/47 = 2.68 hrs.
Well
It's easy
We will first find the speed of boat upstream that will be:105 ÷ 3= 35 km/h
Now it is given the speed of boat upstream and downstream when added give 82
So
Speed of boat downstream=82-35=47 km/h
So
We will find the time taken by boat at speed of 47 km/h to travel 126 km
Time taken by boat at speed of 47 km/h to travel 126 km:126÷47=2.6 hrs
So the answer is 2.68 hrs
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