A man travels $600 km$ partly by train and partly by car. It takes $8 h$ and $40 min$ ,if he travels $320 km$ by train and the rest by car. It would take 30 min more, if he travels $200 km$ by train and the rest by car. Find the speed of the train and the car separately.

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

Speed of the train is 30 km/h and the speed of the car is 10 km/h.

Speed of the train is 90 km/h and the speed of the car is 40 km/h.

Speed of the train is 80 km/h and the speed of the car is 60 km/h.

Speed of the train is 60 km/h and the speed of the car is 70 km/h.

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given that a man travels 320 km by train and 280 km by car, in 8h and 40 min,
He travels 200 km by train and 400 km by car, in 9h and 10 min,
According to given condition,
Let the speed of train be x km/h and that of car be y km/h then,

320 x + 280 y = 263 … (i) 200 x + 400 y = 556 … (i i)

On solving above equations, we get, x = 80, y = 60

Therefore, the speed of the train is 80 km/h and the speed of the car is 60 km/h.
Hence, option (3) is correct.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!