5 Views

Question : A train crosses two persons travelling at 4 km/hr and 6 km/hr in the same direction in 12 sec and 14 sec, respectively. The speed of the train is ________.

Option 1: 18 km/hr

Option 2: 26 km/hr

Option 3: 20 km/hr

Option 4: 24 km/hr


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

Correct Answer: 18 km/hr


Solution : Let the speed of the train be $x$.
The relative speed of 1st person and the train is $(x-4)$ km/hr.
The relative speed of 2nd person and the train is $(x-6)$ km/hr.
According to the question,
$(x-4)×\frac{12}{3600}=(x-6)×\frac{14}{3600}$
$⇒(x-4)×6=(x-6)×7$
$\therefore x = 42-24=18$ km/hr
Hence, the correct answer is 18 km/hr.

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books