30 Views

Question : Anil completed a certain journey by car. If he covered 35% of the distance at 70 km/h, 40% of the distance at 80 km/h and the remaining distance at 50 km/h, his average speed (in km/h) for the entire journey is:

Option 1: $66 \frac{1}{6} $km/h

Option 2: $66 \frac{2}{3} $km/h

Option 3: $66 \frac{1}{3} $km/h

Option 4: $66 \frac{4}{3} $km/h


Team Careers360 14th Jan, 2024
Answer (1)
Team Careers360 15th Jan, 2024

Correct Answer: $66 \frac{2}{3} $km/h


Solution : Let the total distance covered be 100 km.
Distance covered in the first case = 35% of 100 = 35 km
Speed in the first case = 70 km/h
Time taken in the first case = $\frac{1}{2}$ hr
Distance covered in the second case = 40% of 100 = 40 km
Speed in the second case = 80 km/h
Time taken in the second case = $\frac{1}{2}$ hr
Distance covered in the third case = 100 – 35 – 40 = 25 km
Speed in the third case = 50 km/h
Time taken in the third case = $\frac{1}{2}$ hr
Average speed = $\frac{\text{Total distance}}{\text{Total time}}$
= $\frac{100}{\frac{1}{2}+\frac{1}{2}+\frac{1}{2}}$
= $\frac{100}{\frac{3}{2}}$
= $\frac{200}{3}$
= $66 \frac{2}{3} $km/h
Hence, the correct answer is $66 \frac{2}{3} $km/h.

How to crack SSC CHSL

Candidates can download this e-book to give a boost to thier preparation.

Download Now

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
GRE ® Registrations 2024
Apply
Apply for GRE® Test now & save 10% with ApplyShop Gift Card | World's most used Admission Test for Graduate & Professional Schools
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