5 Views

Question : A farmer travelled a distance of 61 kilometres in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. The distance travelled on foot is:

Option 1: 16 km

Option 2: 14 km

Option 3: 17 km

Option 4: 15 km


Team Careers360 3rd Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 16 km


Solution : Given: A farmer travelled a distance of 61 kilometres in 9 hours.
He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr.
Let the time taken on foot be $x$ hr.
Distance = Speed × Time
So, distance travelled on foot = $4×x$ km
The time taken on the bicycle is $(9-x)$ hr.
Distance travelled on bicycle = $9×(9-x)$ km
Total distance = $4x+9(9-x)$ km
According to the given condition,
$4x+9(9-x) = 61$
⇒ $4x+81-9x = 61$
⇒ $81-61 = 5x$
⇒ $x=\frac{20}{5}=4$
Distance travelled on foot = 4 × 4 = 16 km
Hence, the correct answer is 16 km.

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