Question 70

A man leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed. If instead he had walked at a speed of 15 km per hour, he would have reached the station 10 minutes before the train's departure. The distance (in km) from his home to the railway station is

Name: A man leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed. If instead he had walked at a speed of 15 km per hour, he would have reached the station 10 minutes before the train's departure. The distance (in km) from his home to the railway station is
Uploaded: July 3, 2020, 10:15 a.m.
Duration: 2 min 4 s
Description: A man leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed. If instead he had walked at a speed of 15 km per hour, he would have reached the station 10 minutes before the train's departure. The distance (in km) from his home to the railway station is

Correct Answer: 20

Solution

We see that the man saves 20 minutes by changing his speed from 12 Km/hr to 15 Km/hr.

Let d be the distance

Hence,

$$\frac{d}{12} - \frac{d}{15} = \frac{1}{3}$$

$$\frac{d}{60} = \frac{1}{3}$$

d = 20 Km.

Share on Whatsapp Share on Whatsapp

Boost your CAT prep: Take All-India 3 free CAT mock tests with Video solutions

Video Solution

Click on the Email ☝️ to Watch the Video Solution

Your Doubts

Ask a Doubt (know more)

Drop Your File Here!

Create a FREE account and get:

All Quant CAT complete Formulas and shortcuts PDF
38+ CAT previous year papers with video solutions PDF
5000+ Topic-wise Previous year CAT Solved Questions for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Time Speed Distance Questions CAT Probability, Combinatorics Questions CAT Algebra Questions CAT Number Systems Questions CAT Remainders Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Data Interpretation Basics Questions CAT Games and Tournamnents Questions CAT DI with connected data sets Questions CAT Special Charts Questions CAT Maxima-Minima Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Para Summary Questions CAT Critical Reasoning Questions CAT Odd One Out Questions CAT Grammar and Sentence Correction Questions CAT Reading Comprehension Questions

Video Solution

Your Doubts

Drop Your File Here!

CAT Quant Questions | CAT Quantitative Ability

CAT DILR Questions | LRDI Questions For CAT

CAT Verbal Ability Questions | VARC Questions For CAT

Also Read

Related Formulas With Tests

CAT 2017 QA Slot 1 Question

Video Solution

Your Doubts

Drop Your File Here!

CAT Quant Questions | CAT Quantitative Ability

CAT DILR Questions | LRDI Questions For CAT

CAT Verbal Ability Questions | VARC Questions For CAT

Also Read

Free CAT Quant Questions

Related Formulas With Tests

Login to your Cracku account

Hello! 👋

Ready to Unlock Your Success?

Please Enter Your OTP

Please enter the following details

Create a free Cracku account

Get Started with 5000+ Free CAT Questions & Mock Tests with Detailed Solutions!