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We know the identity (a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + 2bc (4)2 = 8 + 2(xy + yz + zx) (xy + yz + zx) = 8/2 = 4 a3 + b3 + c3 = (a + b + c) (a2 + b2 + c2 – ab – bc – ca) + 3abc So, x3 + y3 + z3 = 4(8 – (4)) + 3(6) = 16 + 18 = 34
Identify the cases where two objects moving in opposite directions have a relative speed of 30 km/h.
Average speed of ‘A’ during a 24-hour journey is 36 km/h. If he covered the first 150 km of his journey at a speed of 15 km/h, then find the speed a...
'A' starts a journey and covers the first half of the total distance at a speed of 15 km/hr. Then, he travels half of the remaining distance at 5 km/hr ...
Travelling at a speed of 54 km/h, Chaman reaches a place 3 minutes early. If he had travelled at a speed of 48 km/h, he would have been 1 minute late. W...
Krishna covers a certain distance by train at 25 km/hr. and the equal distance on foot at 4 km/hr. If the time taken by him for the whole journey be 5 ...
A train 180 meters long passes a man walking in the same direction at 6 km/h in 15 seconds. What is the speed of the train?
Ajay and Vishal left the place ‘X’ with different speeds which are in the ratio 3:2 respectively. Ajay left the place 42 seconds after Vishal. If af...
Find the distance travelled (in km) by the truck to reach point B from point A, if a car cover 45% the same distance in 2 hours 42 minutes and a truck c...
‘A’ and ‘B’ started moving towards each other at same time with a speed of 23 km/hr and 24 km/hr, respectively. If the distance covered by ‘Aâ...
‘A’ and ‘B’ started moving towards each other at same time with a speed of 24 km/hr and 10 km/hr, respectively. If the distance covered by ‘Aâ...
