Abdul traveled 300km by train and 200km by taxi, it took him 5 hours 30minutes But if he travel 260 km by train and 240 km by bus he takes 6 minutes longer Find the speed of the train and of the taxi

Answer

100 kmph, 80 kmph

Explanation

Let the speed of the train be x kmph and that of the taxi be y kmph.
Then, ` (300)/(x) + (200)/(y) = (11)/(2) rArr 600 u + 400 v = 11" " `… (i), where ` (1)/(x) = u and (1)/(y) = v `
And, ` (260)/(x) + ( 240 )/(y) = (28)/(5)rArr 325 u + 300 v = 7. " " `... (ii)