Two trains leave a railway station at the same time. The first train travels towards west and and the second towards north. The first train travels 5km/hr faster than the second train. If after two hours they are 50km apart. Find the avg speed of each train.
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Speed of first train is 20 Km/h and speed of 2nd train is 15 Km/h
➣ Let the 2nd train travel at X km/h
➣Then, the speed of a train is (5 +x) Km/hour.
➣ let the two trains live from station M.
➣ Distance travelled by first train in 2 hours
➣ Distance travelled by second train in 2 hours
⟹ 50²=(2(x+5)²+(2x)²
⟹ 2500 = (2x+10)² + 4x²
⟹8x² + 40x - 2400 = 0
⟹x² + 5x - 300 = 0
⟹x² + 20x -15x - 300 = 0
⟹x(x + 20) - 15(x + 20) = 0
⟹ (x + 20)(x -15) = 0
Taking x = 15 , the speed of second train is 15 Km/h and speed of first train is 20 Km/h