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Let conveyor B lifts all the goods in X hours. Conveyor A lifts all goods in X +5 Conveyor C lifts all goods in X – 4 hours. So, conveyor B takes 1/x time to lift in 1 hour Conveyor A takes 1/(x+5) hours to lift in 1 hour Conveyor C takes 1/(x-4) hours to lift in 1 hour. Now, according to the question, to lift all goods, Conveyor A + Conveyor B = Conveyor C 1/(x+5) + 1/x = 1/(x-4) Take LCM on the left side (x+5+x)/x(x+5)= 1/(x-4) 2x+5/x²+5x = 1/(x-4) (2x+5) *(x-4) = x² + 5x 2x²-8x+5x-20 = x² + 5x x²-8x-20 =0 x² - 10x + 2x - 20 = 0 x(x-10) + 2(x-10) = 0 (x-10)*(x+2) = 0 So, x= 10, -2 But x cannot be negative here. So, X = 10 Hence Conveyor B takes X 10 hours. Conveyor A take X + 5 = 10 +5 15 hours Conveyor C takes X-4 hours 10-4 = 6 hours
Find the wrong number in given number series.
2835, 3460, 3335, 3360, 3354, 3356
3, 4, 9, 28, 116, 566, 3397
120, 136, 111, 147, 93, 162, 81
79, 152, 231, 314, 405, 500
112, 236, 374, 546, 790, 1376
Find the wrong number in the given number series.
3, 7, 22, 89, 445, 2671
Find the wrong number in given number series.
2048, 2258, 2378, 2438, 2454, 2468
71 81 61 101 51 181
4, 8, 24, 96, 485, 2880, 20160
- 80, - 44, - 4, 88, 216, 380