CAT 2017 Question Paper (Shift-2) Question 70

Question 70

Arun drove from home to his hostel at 60 miles per hour. While returning home he drove half way along the same route at a speed of 25 miles per hour and then took a bypass road which increased his driving distance by 5 miles, but allowed him to drive at 50 miles per hour along this bypass road. If his return journey took 30 minutes more than his onward journey, then the total distance traveled by him is

Solution

Let the distance between the home and office be $$2x$$ miles
Time taken for going in the morning = $$\frac{2x}{60}$$ hrs
Time taken for going back in the evening = $$\frac{x}{25} + \frac{x+5}{50}$$. hrs
It is given that he took 30 minutes (0.5 hrs) more in the evening

Hence $$\frac{2x}{60}$$ hrs + 0.5 = $$\frac{x}{25} + \frac{x+5}{50}$$
Solving for x, we get x = 15 miles.
Total distance traveled = 2x + x + x + 5 = 4x + 5 = 65 Miles

View Video Solution

video

Create a FREE account and get:

All Quant CAT Formulas and shortcuts PDF
30+ CAT previous papers with solutions PDF
Top 500 CAT Solved Questions for Free

Comments

Jaswanth Chakka

6 months, 2 weeks ago

could you please explain the why this equation having the -x/30?

X/25+X+5/50-X/30 = 1/2

Register with

OR

CAT DILR Questions | LRDI Questions For CAT

CAT Data Interpretation

CAT DI Data Change Over Period

CAT Tables With Missing Values

CAT DI Venn Diagrams

CAT DI Special Charts

CAT DI Maxima & Minima

CAT Quant-Based DI

CAT DI Connected Sets

CAT DI Miscellaneous

CAT LR Arrangement

CAT LR Selections With Conditions

CAT LR Coins & Weights

CAT LR Truth & Lie

CAT LR Scheduling

CAT LR Games & Tournaments

CAT 2D & 3-D LR

CAT Quant-Based LR

CAT LR Miscellaneous

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Reading Comprehension (RC)

CAT Para Jumbles

CAT Para Completion and Summary Questions

CAT Grammar & Sentence Correction

CAT Critical Reasoning

Boost your Prep!

Download App