AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

Two trains pass each other on parallel lines Each train is 100m long. When they are going in the same direction the faster one takes 60 seconds to pass the other completely. If they are going in opposite directions, they pass each other completely in 10 seconds. Find the speed of the slower train in km/hr ____

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Let the speed of the faster train be

x km / hr

and that of the slower train by km/hr. Relative speed when both move in same direction = (

x

−y)km/hr
Relative speed when both move in opposite direction =(

x

+y)km/hr
Total distance travelled == Sum of lengths of both the train=200 m
Given,

\frac{200}{(x - y) \times \frac{5}{18}}

=60 and

\frac{200}{(x - y) \times \frac{5}{18}}

=10
⇒

\frac{3600}{5 (x - y)}

=60 and

\frac{3600}{5 (x - y)}

=10
⇒

x - y = \frac{3600}{300} = 12

… (i)
and

x + y = \frac{3600}{50} = 72

.... (ii)
Adding equation (i) and equation (ii), we get 2

x

=84
⇒

x

=42 km/hr
∴ From (i),y=30 km/hr
Hence, the correct answer is option 1.

Watch 3-min video & get full concept clarity

courses

No courses found

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!