10 Views

Question : A vehicle is going at one-fourth of its usual speed and it takes an extra 45 minutes to reach its destination. It's usual time to cover the same distance is:

Option 1: 15 minutes

Option 2: 10 minutes

Option 3: 30 minutes

Option 4: 20 minutes


Team Careers360 7th Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

Correct Answer: 15 minutes


Solution : Given,
A vehicle is going at one-fourth of its usual speed and it takes an extra 45 minutes to reach its destination.
We know that, time × Speed = Distance
Let the usual speed of the train and distance be 4S km/h and D km.​
$\frac14$ of its usual speed = $\frac{4S}{4}$ = S km/h
Time to cover the distance = $\frac{D}{4S}$ hours
45 minutes = $\frac34$ hours
According to the question,
$\frac{D}{S}-\frac{D}{4S}=\frac34$
⇒ $\frac{4 - 1}{4S} = \frac{3}{4D}$
⇒ $\frac{3}{S} = \frac{3}{D}$
⇒ $\frac{D}{S} = 1$
⇒ $\frac{D}{4S}=\frac14$
= $\frac14$ hours
= $\frac14 × 60$
= 15 minutes
Hence, the correct answer is 15 minutes.

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