SATHEE: Quantitative Aptitude Ques 1871

Quantitative Aptitude Ques 1871

Question: A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/h and the other one walks at 5.4 km/h. The train needs 8.4 s and 8.5 s, respectively to overtake them. What is the speed of the train, if both the persons are walking in the same direction as the train?

Options:

A) 66 km/h

B) 72 km/h

C) 78 km/h

D) 81 km/h

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

Speed of Ist person km/h $ =( 4.5\times \frac{5}{18} )m/s $ $ =\frac{5}{4}m/s=1.25,m/s $ Speed of IInd person = 5.4 km /h $ =( 5.4\times \frac{5}{18} )m/s=\frac{3}{2}m/s=1.5,m/s $ Let the speed of the train be x m/s. Then, $ (x-1.25)\times 8.4=(x-1.5)\times 8.5 $

$ \Rightarrow $ $ 8.4x-10.5=8.5x-12.75 $

$ \Rightarrow $ $ 0.1x=2.25 $
$ \Rightarrow $ $ x=22.5 $

$ \therefore $ Speed of the train $ =( 22.5\times \frac{18}{5} )=81km/h $

Quantitative Aptitude Ques 1870

Quantitative Aptitude Ques 1872

Bank Preparation

IBPS Office Assistants

IBPS RRB Officers

Bank Courses

Recorded Course for English

Recorded Course for Reasoning

Recorded Course for Mathematics

NCERT Books

Important Resources

Banking Awareness

Financial Awareness

Forum

BETA

© 2025 Copyright SATHEE

Privacy Policy

Powered by Prutor@IITK

sathee@iitk.ac.in

Media coverage of SATHEE

Play Store

App Store

The Ministry of Education has launched the SATHEE initiative in association with IIT Kanpur to provide free guidance for competitive exams. SATHEE offers a range of resources, including reference video lectures, mock tests, and other resources to support your preparation. Please note that participation in the SATHEE program does not guarantee clearing any exam or admission to any institute.