to train live railway station at the same time the first train travels due west and the second train due north the first train travels 5 km faster than a second brain if after 2 hours they are 50 km apart find the average speed of the each train
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I can't answer it seems to be little bit confusing
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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
= MA = 2(x+5) Km.
➣ Distance travelled by second train in 2 hours
= MB = 2x Km
AB²= MB²+MA²
⟹ 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
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