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Start learning 50% faster. Sign in nowLet the speed of the boat in still water be x km/h and the speed of the stream be y km/h. Upstream speed = (x - y) km/h, Downstream speed = (x + y) km/h. Time taken to travel upstream = 50 ÷ (x - y) = 5 hours. Time taken to travel downstream = 60 ÷ (x + y) = 4 hours. From the first equation: 50 ÷ (x - y) = 5 ⇒ (x - y) = 10 km/h. From the second equation: 60 ÷ (x + y) = 4 ⇒ (x + y) = 15 km/h. Solving the two equations: x - y = 10 x + y = 15 Adding both equations: 2x = 25 ⇒ x = 12.5 km/h. Correct Option: b) 12.5 km/h
A person 'P' is 4 years younger than 'Q' and also 10 years less than twice the age of 'R'. Given that the ages of 'Q' and 'R' are in the ratio 5:2, dete...
The second derivative of y = tan⁻¹ x at x = 1 is:
If f(g(x))= x, where f and g are inverses of each other and f’(x) = 1/(1+x ² ), then g’(x) equals:
A fraction increases by 35% when 25 is added to its numerator and its denominator is multiplied by 10. What is the numerator of the original fraction?
If a = b in the equation of ellipse x²/a² + y²/b² = 1, then the curve becomes:
A merchant has two types of sugar. Type A costs 50 per kg, and Type B costs 70 per kg. In what ratio should the two types be mixed to get a mixture that...
330 240 160 90 30 ?
Find the value of 25 mod 6
From the top of a building, the angle of depression to a point on the ground is 45 degrees. If the building is 50 meters high, how far is the point from...
