Join WhatsApp Icon CAT WhatsApp Group
Question 16

A and B are two railway stations 90 km apart. A train leaves A at 9:00 am, heading towards B at a speed of 40 km/hr. Another train leaves B at 10:30 am, heading towards A at a speed of 20 km/hr. The trains meet each other at

Solution

Share

The distance travelled by A between 9:00 Am and 10:30 Am is 3/2*40 =60 km.

Now they are separated by 30 km

Let the time taken to meet =t 

Distance travelled by A in time t + Distance travelled by B in time t = 30

40t + 20t =30 => t=1/2 hour

Hence they meet at 11:00 AM

Get AI Help

Video Solution

video
View More Questions From Time, Speed and Distance

Create a FREE account and get:

  • All Quant CAT complete Formulas and shortcuts PDF
  • 35+ 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 Simple Interest Compound Interest QuestionsCAT Averages QuestionsCAT Time, Speed and Distance QuestionsCAT Progressions and Series QuestionsCAT Time Speed Distance Questions

CAT DILR Questions | LRDI Questions For CAT

CAT DI with connected data sets QuestionsCAT Miscellaneous LR QuestionsCAT Quant Based LR QuestionsCAT Charts QuestionsCAT Selection With Condition Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Reading Comprehension QuestionsCAT Vocabulary QuestionsCAT Critical Reasoning QuestionsCAT Odd One Out QuestionsCAT Para Summary Questions

Free CAT Quant Questions

CAT InequalitiesCAT Quadratic EquationsCAT Data SufficiencyCAT Number SeriesCAT MiscellaneousCAT Simple Interest Compound InterestCAT AveragesCAT Time Speed DistanceCAT Coordinate GeometryCAT Logarithms, Surds and IndicesCAT Time And WorkCAT LogarithmsCAT Number SystemsCAT Time, Speed and DistanceCAT Linear EquationsCAT Probability, CombinatoricsCAT RemaindersCAT ArithmeticCAT Progressions and SeriesCAT AlgebraCAT Venn DiagramsCAT Averages Mixtures AlligationsCAT Profit And LossCAT Profit and LossCAT GeometryCAT MensurationCAT Functions, Graphs and StatisticsCAT PercentagesCAT Averages, Ratio and Proportion

Related Formulas With Tests

Speed - Distance - Time Relative Velocity

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored
CAT mentor

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.

Enroll Now
Ask AI