The speeel ofof an express train. Ä°s Ď kmh and the speedexpreef

1.	The speeel ofof an express train. Ä°s Ď kmh and the speedexpreef an ordinary train is 12 kmhr less than that op anexezess hain If the ordinasry troin takes one hour longenthen the express train to coven a distane of 240the speed lef the espress train
Answer» Given, Speed of express train = x km/hrThen speed of slower train = (x - 12) km/hr We know, Travel time = Distance/Speed 240/(x-12) - 240/x = 1 LCM: x(x-12)240x - 240x + 2880 = x^2 - 12xx^2 - 12x - 2880 = 0(x + 48)(x - 60) = 0x = -48(reject x>0)orx = 60 Therefore, Speed of the express train= 60 km/hr please send me in a simple solution

The speeel ofof an express train. Ä°s Ď kmh and the speedexpreef an ordinary train is 12 kmhr less than that op anexezess hain If the ordinasry troin takes one hour longenthen the express train to coven a distane of 240the speed lef the espress train

Answer»

Given, Speed of express train = x km/hrThen speed of slower train = (x - 12) km/hr

We know, Travel time = Distance/Speed

240/(x-12) - 240/x = 1

LCM: x(x-12)240x - 240x + 2880 = x^2 - 12xx^2 - 12x - 2880 = 0(x + 48)(x - 60) = 0x = -48(reject x>0)orx = 60

Therefore, Speed of the express train= 60 km/hr

please send me in a simple solution