Abdul travelled 300 km by train and 200 km by taxi taking 5 hours 30 minutes. But, if he travels 260 km by train and 240 km by taxi, he takes 6 minutes longer. Find the speed of the train and that of the taxi.
Let the speed of the train and that of the taxi be x kmph and y kmph respectively.
According to question -
.....(1)
and,
.....(2)
From equation (1), we get -
.....(3)
Substitute equation (3) in (2), we get -
⇒ y = 80
Substituting the value of y in equation (3), we get -
x = 100
Thus, the speed of train = 100 kmh and the speed of taxi = 80 kmh.