Question

Abdul travelled 300 km by train and 200 km by taxi taking 5 hours and 30 minutes. But, if he travels 260km by train and 240km by taxi, he takes 6 minutes longer. Find the speed of the train and that of taxi

Answer 1

Let the speed of the train and taxi be x km/h and y km/h respectively. 

Then as per the question 

3/x + 2/y = 11/200 ………….(i)

When the speeds of the train and taxi are 260 km and 240 km respectively, then

Multiplying (i) by 6 and subtracting (ii) from it, we get

Putting x = 100 in (i), we have

⇒ y = 80 

Hence, the speed of the train and that of the taxi are 100 km/h and 80 km/h respectively.