Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
140 views
in Distance, Time and Speed by (72.6k points)
closed by
A train traveling at a speed of 90 km/h overtakes another train twice its length and traveling at 60 km/h in 45 sec. how long will the longer train take to cross a bridge 300 m long?
1. 29 sec
2. 32 sec
3. 33 sec
4. 31 sec
5. 30 sec

1 Answer

0 votes
by (121k points)
selected by
 
Best answer
Correct Answer - Option 3 : 33 sec

GIVEN:

The slower train is twice the faster train in length.

Speed of faster train = 90 km/h

Speed of slower train = 60 km/h

Time taken to overtake = 45 sec

Length of bridge = 300 m

FORMULA USED:

Relative speed in same direction = faster speed - slower speed

Distance = \( {speed}\times{time}\)

\(\frac{km}h\times\frac5{18}=\frac {m}{s}\)

EXPLANATION:

Let the length of the faster train be 'X' m and that of the slower train is '2X' m.

Total distance traveled in overtaking is equal to the sum of the lengths of both trains at relative speed.

Relative speed = 90 - 60 = 30 km/h

Distance 3X = \(30\times\frac{5}{18}\times45\) = 375 m

X (length of faster train) = 125 m

2X (length of slower tain) = 250 m

Distance traveled by train to cross a bridge = length of train + length of bridge

\(\Rightarrow\)  D = 250 + 300 = 550 m

Time = \(\frac{550\times 18}{60\times5}=33 sec\)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...