Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and the remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus 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

60 km/hr and 80 km/hr

20 km/hr and 30 km/hr

30 km/hr and 30 km/hr

80 km/hr and 60 km/hr

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given that, Total distance covered by Roohi to reach home is 300 km.
Let the speed of the train be x km/hr and the speed of the bus is y km/hr.
According to question and using Time=

Thus, Total distance =300 km.
Roohi travels 60 km by train and 300−60=240 by bus in 4 minute,

Then,100 km by train, 300−100=200 by bus, and takes 10 minutes more,

Now, let

Multiply eq1 by 5 and eq2 by 6 we get,

Subtracting eq3 and eq4 we get,

Putting the value of u in eq1 we get:

Now,

Hence, the speed of the train is 60 km/hr and the speed of the bus is 80 km/hr.

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!

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