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The speed of a boat in still water is 4 km/hr and the speed of current is 2 km/hr. If the time taken to reach a certain distance upstream is 9 hours, the time it will take to go to the same distance downstream is
  • a)
    3.5 hours
  • b)
    2.5 hours
  • c)
    2 hours
  • d)
    3 hours
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The speed of a boat in still water is 4 km/hr and the speed of curren...
Let's break down the problem step by step to find the correct answer.

Given:
- Speed of the boat in still water = 4 km/hr
- Speed of the current = 2 km/hr
- Time taken to reach a certain distance upstream = 9 hours

To find:
- Time it will take to go to the same distance downstream

We can use the formula: Distance = Speed × Time

Upstream:
When the boat is moving upstream (against the current), the effective speed is reduced by the speed of the current. So, the effective speed is (4 - 2) = 2 km/hr.

Let's assume the distance to be D km.

Therefore, the time taken to cover the distance upstream is given by:
D = 2 × 9
D = 18 km

Downstream:
When the boat is moving downstream (with the current), the effective speed is increased by the speed of the current. So, the effective speed is (4 + 2) = 6 km/hr.

Now, let's calculate the time it will take to cover the same distance downstream.

Using the formula:
Time = Distance / Speed

Substituting the values:
Time = 18 / 6
Time = 3 hours

Therefore, the time it will take to go to the same distance downstream is 3 hours. Hence, option D is the correct answer.
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Community Answer
The speed of a boat in still water is 4 km/hr and the speed of curren...
Speed of boat (SB) = 4 km/hr
Speed of stream (SS) = 2 km/hr
Distance = Relative speed(upstream) × Time
= (4 km/hr - 2 km/hr) × 9 hr
= 2 × 9 km
= 18 km
Required time taken = Distance/Relative speed(downstream)
= 18 km/(4 km/hr + 2 km/hr)
= 3 hours
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The speed of a boat in still water is 4 km/hr and the speed of current is 2 km/hr. If the time taken to reach a certain distance upstream is 9 hours, the time it will take to go to the same distance downstream isa)3.5 hoursb)2.5 hoursc)2 hoursd)3 hoursCorrect answer is option 'D'. Can you explain this answer?
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