The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. What is the Speed of the stream? Statement I: The distance between two points A and B is a km and the boat cover 90km along the stream in 5 hours. Statement II: The distance travelled along the stream is four times the total distance and that against the stream is three times the total distance Statement III: The total time taken against the stream is 10% more than that along the stream
The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. What is the Speed of the stream? Statement I: The distance between two points A and B is a km and the boat cover 90km along the stream in 5 hours. Statement II: The distance travelled along the stream is four times the total distance and that against the stream is three times the total distance Statement III: The total time taken against the stream is 10% more than that along the stream Correct Answer All I, II and III
Let x be the speed of the boat and y be the speed of the steam
From statement I,
⇒ = 5
⇒ (x + y) = 18 ----(1)
From statement II and III,
⇒ = (4d × 1.1)/(x + y)
⇒ 3x + 3 y = 4.4x - 4.4 y
⇒ 7.4y = 1.4x
⇒ 1.4x - 7.4 y = 0 ----(2)
Solving Equation 1 and 2, we get y = 2.86 kmph
∴ We need all the three statements to answer the question