(5.53 – 4.07) 2/(4.07 – 3.15)(3.15 – 5.53) + (4.07 – 5.53) 2/(3.15 – 5.53)(5.53 – 4.07) + (3.15 – 5.53) 2/(5.53 – 4.07)(4.07 – 3.15) is simplified to
According to the question, Let a = 5.53 – 4.07, b = 4.07 – 3.15 & c = 3.15 – 5.53 a + b + c = 0 Therefore, a3 + b3 + c3 = 3abc Dividing both sides by “abc”, we get (a3 + b3 + c3)/abc = 3abc/abc a2/bc + b2/ca + c2/ab = 3 Hence, (5.53 – 4.07)2/(4.07 – 3.15)(3.15 – 5.53) + (4.07 – 5.53)2/(3.15 – 5.53)(5.53 – 4.07) + (3.15 – 5.53)2/(5.53 – 4.07)(4.07 – 3.15) = 3
Two trains of same length are running in parallel tracks in the same direction with speed 80 km/hr and 110 km/hr respectively. The latter completely cro...
Train Q of length 360m can cross a pole in 12sec and it can cross train P running in opposite direction in 100/7 sec. If the speed of train P is 2/5 of ...
Train X, traveling at a speed of 72 km/hr, crosses another train Y, which is moving in the opposite direction at a speed of 108 km/hr, in 't' seconds. I...
A train travels at an average speed of 100 km per hour without stoppage and with stoppages it covers the same distance at an average speed of 80 km/hr. ...
Train M, ‘x’ metres long crosses (x – 32) metres long platform in 20 seconds while train N having the length (x + 32) metres crosses the same plat...
If the ratio of speed of train C and Train D is 5:8 and takes 20 seconds to completely cross each other in same direction. If the ratio of their length ...
A train has to cover a distance of 90 km in 15 hours. If it covers half the journey in 4/5 th of the time, the speed to cover remaining distance in the ...
Two trains approach each other at 16 kmph and 22 kmph from 2 places 266 km apart. After how many hours they will meet?
770 metres long train crosses a man who is moving in the same direction with a certain speed, in 35 seconds. If the same train can cross a tree in 22 se...
When a train Q vacated station A at 4 am and reached station B at 7 am. Another train P Vacated station B at 6 am and reached station A at 8:30 am. At a...