21 Views

Question : A thief is spotted by a constable from 200 m. When the constable starts the chase, the thief also starts running. If the speed of the constable is 8 km/h and the thief runs at the speed of 6 km/h, then how far (in m) will the thief be able to run before he is overtaken?

Option 1: 600

Option 2: 400

Option 3: 550

Option 4: 500


Team Careers360 13th Jan, 2024
Answer (1)
Team Careers360 15th Jan, 2024

Correct Answer: 600


Solution : Distance = 200 m
Speed of thief = 6 km/h = $6\times{\frac{5}{18}}$ = $\frac{15}{9}$ m/s
Speed of constable = 8 km/h = $8\times{\frac{5}{18}}$ = $\frac{20}{9}$ m/s
Relative speed of constable = $(8−6)\times{\frac{5}{18}}$ = $\frac{5}{9}$ m/s
To catch the thief, the policeman has to gain 200 m.
Time taken to catch the thief = $\frac{200\times9}{5}$ = 360 s
$\therefore$ Distance covered by the thief = $360\times{\frac{15}{9}}$ = 600 m
Hence the correct answer is 600.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

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