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In a river flowing at 2 km/hr, a boat travels 32 km upstream and then returns downstream to the starting point. If its speed in still water be 6 km/hr, find the total journey time.
- a)10 hours
- b)12 hours
- c)14 hours
- d)16 hours
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In a river flowing at 2 km/hr, a boat travels 32 km upstream and then ...
speed of the boat = 6 km/hr
Speed downstream = (6+2) = 8 km/hr
Speed upstream = (6-2) = 4 km/hr
Distance travelled downstream = Distance travelled upstream = 32 km
Total time taken = Time taken downstream + Time taken upstream
Most Upvoted Answer
In a river flowing at 2 km/hr, a boat travels 32 km upstream and then ...
Given:
- Speed of river = 2 km/hr
- Distance travelled upstream = 32 km
- Speed of boat in still water = 6 km/hr
To find: Total journey time
Approach:
Let's first find the speed of the boat upstream and downstream.
Speed of boat upstream
= Speed of boat in still water - Speed of river
= 6 - 2
= 4 km/hr
Speed of boat downstream
= Speed of boat in still water + Speed of river
= 6 + 2
= 8 km/hr
Now, let's calculate the time taken by the boat to travel upstream and downstream.
Time taken to travel upstream
= Distance / Speed
= 32 / 4
= 8 hours
Time taken to travel downstream
= Distance / Speed
= 32 / 8
= 4 hours
Total journey time
= Time taken to travel upstream + Time taken to travel downstream
= 8 + 4
= 12 hours
Therefore, the correct answer is option 'B' - 12 hours.
- Speed of river = 2 km/hr
- Distance travelled upstream = 32 km
- Speed of boat in still water = 6 km/hr
To find: Total journey time
Approach:
Let's first find the speed of the boat upstream and downstream.
Speed of boat upstream
= Speed of boat in still water - Speed of river
= 6 - 2
= 4 km/hr
Speed of boat downstream
= Speed of boat in still water + Speed of river
= 6 + 2
= 8 km/hr
Now, let's calculate the time taken by the boat to travel upstream and downstream.
Time taken to travel upstream
= Distance / Speed
= 32 / 4
= 8 hours
Time taken to travel downstream
= Distance / Speed
= 32 / 8
= 4 hours
Total journey time
= Time taken to travel upstream + Time taken to travel downstream
= 8 + 4
= 12 hours
Therefore, the correct answer is option 'B' - 12 hours.
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In a river flowing at 2 km/hr, a boat travels 32 km upstream and then returns downstream to the starting point. If its speed in still water be 6 km/hr, find the total journey time.
a)10 hoursb)12 hoursc)14 hoursd)16 hoursCorrect answer is option 'B'. Can you explain this answer?
Question Description
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