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A Ship of Length 300m traveling from point A to B downstream passes a Ghat along the river in 18 sec, while in return it passes the same Ghat in 24 sec. If the rate of current is 9 Km/hr. Then what is the length of the Ghat?
- a)50 m
- b)60 m
- c)80 m
- d)100 m
- e)Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A Ship of Length 300m traveling from point A to B downstream passes a ...
Answer – 2. 60 m Explanation : (S+9)*18 = (S-9)*24
S =63
300+x = 72*5/18*18 x =60
S =63
300+x = 72*5/18*18 x =60
Most Upvoted Answer
A Ship of Length 300m traveling from point A to B downstream passes a ...
Answer – 2. 60 m Explanation : (S+9)*18 = (S-9)*24
S =63
300+x = 72*5/18*18 x =60
S =63
300+x = 72*5/18*18 x =60
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Community Answer
A Ship of Length 300m traveling from point A to B downstream passes a ...
Given:
Length of the ship = 300m
Time taken downstream = 18 sec
Time taken upstream = 24 sec
Rate of current = 9 Km/hr
To find:
Length of the ghat
Approach:
Let's assume the speed of the ship in still water be "x" and the speed of the current be "y".
When the ship is moving downstream, the effective speed will be x + y.
When the ship is moving upstream, the effective speed will be x - y.
We know that distance = speed x time.
Let's calculate the distance between the ship and ghat in both cases.
Downstream:
Distance = (300 + length of ghat)
Speed = (x + y)
Time = 18 sec
Upstream:
Distance = (300 + length of ghat)
Speed = (x - y)
Time = 24 sec
Equating the distance in both cases:
(300 + length of ghat) x (x + y) = (300 + length of ghat) x (x - y)
300x + xy + length of ghat x (x + y) = 300x - xy + length of ghat x (x - y)
2xy x length of ghat = 6xy x 1000 (converting km/hr to m/sec)
Length of ghat = 3000 / 2 = 1500m
But the above answer cannot be correct. It is because the length of the ghat cannot be greater than the length of the ship. Hence, we need to relook at our assumptions.
We know that speed = distance / time.
Let's calculate the speed downstream and upstream.
Downstream:
Distance = (300 + length of ghat)
Speed = (x + 9)
Time = 18 sec
Upstream:
Distance = (300 + length of ghat)
Speed = (x - 9)
Time = 24 sec
Equating the distance in both cases:
(300 + length of ghat) x (x + 9) = (300 + length of ghat) x (x - 9)
300x + 9(length of ghat) = 300x - 9(length of ghat)
18(length of ghat) = 300 x 9
Length of ghat = 50m
Hence, the length of the ghat is 50m.
Answer: Option (b)
Length of the ship = 300m
Time taken downstream = 18 sec
Time taken upstream = 24 sec
Rate of current = 9 Km/hr
To find:
Length of the ghat
Approach:
Let's assume the speed of the ship in still water be "x" and the speed of the current be "y".
When the ship is moving downstream, the effective speed will be x + y.
When the ship is moving upstream, the effective speed will be x - y.
We know that distance = speed x time.
Let's calculate the distance between the ship and ghat in both cases.
Downstream:
Distance = (300 + length of ghat)
Speed = (x + y)
Time = 18 sec
Upstream:
Distance = (300 + length of ghat)
Speed = (x - y)
Time = 24 sec
Equating the distance in both cases:
(300 + length of ghat) x (x + y) = (300 + length of ghat) x (x - y)
300x + xy + length of ghat x (x + y) = 300x - xy + length of ghat x (x - y)
2xy x length of ghat = 6xy x 1000 (converting km/hr to m/sec)
Length of ghat = 3000 / 2 = 1500m
But the above answer cannot be correct. It is because the length of the ghat cannot be greater than the length of the ship. Hence, we need to relook at our assumptions.
We know that speed = distance / time.
Let's calculate the speed downstream and upstream.
Downstream:
Distance = (300 + length of ghat)
Speed = (x + 9)
Time = 18 sec
Upstream:
Distance = (300 + length of ghat)
Speed = (x - 9)
Time = 24 sec
Equating the distance in both cases:
(300 + length of ghat) x (x + 9) = (300 + length of ghat) x (x - 9)
300x + 9(length of ghat) = 300x - 9(length of ghat)
18(length of ghat) = 300 x 9
Length of ghat = 50m
Hence, the length of the ghat is 50m.
Answer: Option (b)
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A Ship of Length 300m traveling from point A to B downstream passes a Ghat along the river in 18 sec, while in return it passes the same Ghat in 24 sec. If the rate of current is 9 Km/hr. Then what is the length of the Ghat?a)50 mb)60 mc)80 md)100 me)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
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