Ramesh travels 760 km to his home partly by train and partly by car. He takes 8 hours if he travels 160 km by train and the rest by car. He takes 12 minutes more if the travels 240 km by train and the rest by car. Find the speed of the train and car respectively.

Matching exercise

    
Match the items on the right to the items on the left.
STEP 1
STEP 2
STEP 3
STEP 4
STEP 5
Let the speed of train be ‘a’ and speed of car be ‘b’.


Speed = distance/time
Given, Ramesh travels 760 km to his home partly by train and partly by car. He takes 8 hours if he travels 160 km by train and the rest by car. He takes 12 minutes more if the travels 240 km by train and the rest by car.

Q7.png
Multiplying eq1 by 3 and eq2 by 2 and subtracting eq2 from eq1 Q7a.png
⇒ b = 100 km/hr


Thus, 160/a + 6 = 8


⇒ a = 80 km/hr