2 Views

Question : A car covers a certain distance in 25 hours. If it reduces the speed by $\frac{1}{5}$th, the car covers 200 km less in that time. The speed of the car is:

Option 1: 60 km/hr

Option 2: 30 km/hr

Option 3: 40 km/hr

Option 4: 50 km/hr


Team Careers360 15th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 40 km/hr


Solution : Time taken, $t = 25$ hours
Let the initial distance be $d$ and the initial speed be $s$.
Speed = Distance ÷ Time
$s = d ÷ t$
$⇒t = \frac{d}{s}$---------------(i)
When $s$ is reduced by $\frac{s}{5}$, new $s = \frac{4s}{5}$ and $d = d - 200$,
$t = \frac{d - 200}{ \frac{4s}{5}}$ -----------------(ii)
From (i) and (ii),
$\frac{d}{s}$ = $\frac{d - 200}{ \frac{4s}{5}}$
$⇒\frac{4d}{5} = d - 200$
$⇒4d = 5d - 1000$
$⇒d = 1000$ km
$\therefore$ Speed, $s= \frac{d}{t}$ = $\frac{1000}{25}$ = 40 km/hr
Hence, the correct answer is 40 km/hr.

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