Speed of a man in still water is 5 km/hr and the river is running at 3...
Down speed = 5+3 = 8
Up speed = 5-3 = 2
Let distance travelled = X
(X/8)+(X/2) = 10
X= 16 km
Total distance is 16+16 = 32
View all questions of this test
Speed of a man in still water is 5 km/hr and the river is running at 3...
Given:
Speed of man in still water = 5 km/hr
Speed of river = 3 km/hr
Total time taken to go to a place and come back = 10 hours
To find:
Distance travelled
Approach:
Let the distance travelled be 'd' km
Let the time taken to cover the distance in still water be 't' hours
Then,
Speed in downstream = (5 + 3) = 8 km/hr
Speed in upstream = (5 - 3) = 2 km/hr
Now,
d/8 + d/2 = 10
Solving the above equation, we get
d = 32 km
Therefore, the distance travelled is 32 km.
Explanation:
When a man rows a boat in still water, he covers a certain distance in a certain time. When he rows the same boat in a river, his speed is affected by the speed of the river.
Let us assume that the distance between the two points is 'd' km and the time taken to cover the distance in still water is 't' hours.
In still water, the speed of the man is 5 km/hr.
Therefore, the distance covered in 't' hours in still water = 5t km
When the man rows the boat in the river, the speed of the river also affects the speed of the boat.
When the boat is going downstream, the effective speed of the boat = (5 + 3) = 8 km/hr
Therefore, the distance covered in 't' hours downstream = 8t km
When the boat is going upstream, the effective speed of the boat = (5 - 3) = 2 km/hr
Therefore, the distance covered in 't' hours upstream = 2t km
According to the given problem, the time taken to go to the place and come back is 10 hours.
Therefore, the time taken to go to the place = 5 hours
And the time taken to come back = 5 hours
Hence,
d/8 + d/2 = 10
On solving this equation, we get
d = 32 km
Therefore, the distance travelled is 32 km.
Speed of a man in still water is 5 km/hr and the river is running at 3...
Down speed = 5+3 = 8
Up speed = 5-3 = 2
Let distance travelled = X
(X/8)+(X/2) = 10
X= 16 km
Total distance is 16+16 = 32