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What is the distance covered by boat N upstream in 5 hours? Which of the following option is sufficient alone to find the answer? A) Boat M is travelling downstream with 20% more downstream speed of boat N. Speed of boat M in still water is 10% more than the speed of boat N in still water. B) Boat M and Boat N are travelling downstream with speed 33 km/hr and 40 km/hr respectively and speed of boat M is still water is 2 times the speed of stream. C) Speed of boat M in still water is 6 km/hr less then speed of boat N in still water and speed of stream is 10 km/hr. D) Speed of stream is ½ times the speed of boat N in still water and downstream speed of boat M is 44 km/hr. E) Speed of stream is 10 km/hr and ratio of upstream speed of boat M and boat N is 3 : 2 respectively.
If damping ratio is 0.05 then, find the lift to drag ratio. Consider 2-degree phugoid approximation.
If Rati travels at his usual speed for ‘x’ hours, he covers the same distance as he covered when he travels at a speed 30 km/hr less than usual, but for (x + 3) hours. Which of the following can be determined? (A) If he travels at 20 km/hr less speed than usual, he can cover a distance of 240 km in (x - 1) hours. What is the value of ‘x’? (B) If travels at his usual speed for (t + 2) hours, and at 50% of his usual speed for (t - 2) hours, his average speed for the journey is 68 km/hr. What is his usual speed? (C) His usual speed (in km/hr) is a multiple of 5 between 40 and 50 (both inclusive). If ‘x’ is a whole number, what is his usual speed? (D) If he travels at his usual speed for ‘t’ hours, he covers a distance of 400 km. What is the value of ‘x’?
An undamped spring-mass system with mass m and spring stiffness k is shown in the figure. The natural frequency and natural period of this system are ω rad/s and T s, respectively. If the stiffness of the spring is doubled and the mass is halved, then the natural frequency and the natural period of the modified system, respectively, are
In a phase response curve of MC1556, the phase shift is -162.5o about 4MHz. If the approximate value of first break frequency is 5.5Hz. Determine the approximate value of the second break frequency?
Given is a statement followed by two assumptions numbered I and II. Consider the statement and the following assumptions and decide which of the assumptions is/are implicit in the statement. Statement: Sustainability can be defined as the practice of meeting the needs of the current generation without degrading or destroying the natural resources (e.g. water, soil, biodiversity, oil, minerals.) Assumptions: Our lives and economies are dependent on natural capital, which is made up of these natural resources and natural services, and the energy provided by the sun. Just as every investor knows, we should invest our capital and live off on the interest, it provides. To live sustainably, we need to do the same: protect our natural capital and live off our biological income.
The question below is followed by three statements I, II, and III. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. A car travels from city P to city Q in T hours with a speed of v km per hour. Distance between cities P and Q is D kilometers. If it increases its speed by 5 kmph it saves some time. Find the actual speed of the car. Statement I: If the car travels from P to Q with its actual speed of v kmph and come back with the speed of v + 5 kmph in 2T – 0.6 hrs Statement II: A bus start form Q at the same time when the car starts from P and the speed of the bus is 50% more than the speed of the car and the bus meets car after covering 60% of the distance Statement III: Distance between PQ is given by D2 – 25D + 200 = 0  
Study the two cases and answer in terms of relation between the two cases Case 1: The average speed of the bike is \(3\frac{3}{4}\) times the average speed of the bus. A car covers 720 km in 10 hours. How much distance (in km) will a bike cover in 50 minutes if the speed of the bus is half of the speed of the car? Case 2: The average speed of bike is \(1\frac{2}{5}\) times the average speed of the car. A bus covers 441 km in 7 hours. How much distance (in km) will a bike cover in 45 minutes if the speed of the car is twice the speed of the bus?
The speed of six bikes B1, B2, B3, B4, B5 and B6 has been compared. The speed of the B6 exceeds just three bikes. No two bikes have the same speed. The speed of B4 is more than that of B2 but less than that of B6. The speed of B3 is not less than that of B5. The speed B2 is not minimum. If the speed of B5 is not less than that of B2, then which of the following pair of bikes has more speed than that of B4?
The outcome of the spot speed studies carried out at a certain stretch of a highway are as follows. 50th percentile speed = 46 km/h ; 75th percentile speed = 54 km/h ; 85th percentile speed = 60 km/h ; 95th percentile speed = 75 km/h ; 98th percentile speed = 84 km/h ; 100th percentile speed = 95 km/h What is the speed (in km/h units) to be taken to check the geometric design elements.