Abdul travelled 300 km by train and 200 km by taxi, it took him 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.

Matching exercise

    
Match the items on the right to the items on the left.
STEP 1
STEP 2
STEP 3
STEP 4
Let the speed of train be ‘a’ and speed of taxi be ‘b’.


Speed = distance/time


Abdul travelled 300 km by train and 200 km by taxi, it took him 5 hours 30 minutes. But if he travels 260 km by train and 240 km by taxi he takes 6 minutes longer
Q14.png
Multiplying eq1 by 6 and eq2 by 5 and subtracting eq2 from eq1 Q14a.png
⇒ a = 100 km/hr


Thus, 3 + 200/b = 5.5


⇒ b = 80 m/hr