Question
Speed of a Motorboat in still water is 75kmph. If the
motorboat travels 150 km along the stream in 1 hour 40 minutes, then the time taken by it to cover the same distance against the stream will be?Solution
Let the speed of the current be x kmph Rate Downstream = (x + 75) kmph According to the question : 150/(x+75) = 1 hour 40 minutes 150/(x+75) = 5/3 hours 450= 5x + 375 5 x = 450 – 375 X= 15 kmph Rate Upstream = 75 – 15 = 60 kmph Required time = 150/60 = 2 hours 30 minutes
I. 3p2Â - 11p + 10 = 0
II. 42q2Â + q -1 = 0
I). p2 + 22p + 72 = 0,
II). q2 - 24q + 128 = 0
Find the roots of the equation 6p² – 5p – 6 = 0.
I. y² + y – 56 = 0
II. 2x² + 11 x – 40 = 0
 If x satisfies x² – 14x + 40 = 0, find x.
I. 2y² - 35y + 132 = 0
II. 2x² - 31x + 110 = 0
I. 35x² - 46x – 16 = 0
II. 35y² - 116y + 96 = 0
I. 20x² - 93x + 108 = 0
II.72y² - 47y - 144 = 0
I. x3 = 1728
II. y2 – 15y + 56 = 0
I. x2 + x – 42 = 0
II. y2 + 6y – 27 = 0