© A boat is upstream can travel 5 km in 30 min. If the speed of the stream is 1.5 km/h, then find the total distance covert by boat when the boat takes 46 hr to treavel from A to B then return to A
Answers
Answer:
The final answer is 449.65
Step-by-step explanation:
Given,
The boat can travel 5km in 30 mins. Also the speed of the stream is 1.5.
We need to find the total distance covered by the boat in 46 Hours.
Speed of Boat = Distance / Time
Speed of Boat = 5Km / 30mins
Speed = 5 / .5
Speed = 10
Speed of Boat Upstream = 10 + 1.5 = 11.5
Distance = Speed * Time
Total Time = 46hrs
Total Speed Upstream = 8.5
Total Speed Downstream = 11.5
D/8.5 + D/11.5 = 46
( 11.5 * D + 8.5 * D ) / 11.5 * 8.5 = 46
20D = 4496.5
D = 4496.5 / 20
D = 224.825
Total Distance = 224.825 * 2 = 449.65
How to find Speed?
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Answer:
Total distance covered by the boat in 46 Hr will be 520 Km
Step-by-step explanation:
As per the data given in the question,
We have to determine the total distance covered by the boat in 46 Hr.
As per the question,
It is given that,
A boat in upstream can travel 5 km in 30 min.
Here, the boat is travelling 5 Km in 30 min, so, we can conclude that it will cover 10 Km in 60 minutes, or we can conclude that the speed of the boat in Upstream will be 10 Kmph.
It is given that,
The speed of the stream is 1.5 km/h,
As we know,
Let us assume that the speed of the boat = x Kmph
Speed of stream = y = 1.5 Kmph
So, Upstream speed = x -y
Downstream speed = x +y
So, from above,
x+y = 10 -----------------(i)
So, x - 1.5 = 10 => x = 11.5 Kmph
So, downstream speed = x+y = 11.5 + 1.5 = 13 Kmph
As total time = 46 Hr.
So, we can write the equation as: Total time = Upstream time + Downstream time
As boat cover d in downstream and d in upstream.
So, total distance = 2d = 520 Km.
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