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.


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