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

A train 576 m long crosses a tunnel in 1 min 3 seconds. Find the length of the tunnel if the speed of the train is 48 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

624 m

614 m

625 m

524 m

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given,
The length of the train = 576 m
The time taken for crossing the tunnel by the train = 1 min 30 seconds
Speed of the train= 48 km/hr
Suppose that
The tunnel length = t (say)
Total length of train with the length of the tunnel=

576 + t

Now,
First, we have converted the unit of speed in meter/ sec

= 48 (\frac{1000}{3600})

(since, 1 km = 1000 m, 1 hour = 3600 sec)

= 48 (\frac{10}{36})

= 8 (\frac{10}{6})

= \frac{40}{3}

meter/sec
The speed =

\frac{40}{3} meter / \sec

We convert the time 1 min 30 seconds in seconds we have
1 minute = 60 seconds.

1 \min 30 \sec = (1 (60) + 30) \sec

= 90 \sec

According to the given value we putting in the following formula we have

Speed = \frac{Distance}{Time}

\frac{40}{3} = \frac{576 + t}{90}

\frac{40}{1} = \frac{576 + t}{30}

{Divided by 3}

1200 = 576 + t

[Cross multiplying]

1200 - 576 = t

\Rightarrow 624 = t

Hence, the length of the tunnel = 624 m
Correct option is 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!