CAT 2018 Question Paper | Quants Slot 1

CAT Questions

This very simple question from CAT 2018 Question Paper is based on Speed, Time and Distance and combines a tinge of basic Algebra! These type of questions occur very often in the CAT Exam and it is needless to say that you have to master Speed, Time and Distance’s concepts to ace the exam. Give it a shot and then check out the video explanation for the same. To ace your CAT preparation online, solve as many questions as possible from CAT Previous Year Paper.

Question 4 :The distance from A to B is 60 km. Partha and Narayan start from A at the same time and move towards B. Partha takes four hours more than Narayan to reach B. Moreover, Partha reaches the mid-point of A and B two hours before Narayan reaches B. The speed of Partha, in km per hour, is

1. 6
2. 3
3. 4
4. 5

---

---

Video Explanation

---

---

Explanatory Answer

Method of solving this CAT Question from Speed Time Distance

Let Narayanan take X hrs to reach B then Partha would take X + 4 hrs
Its given that Partha reaches the mid-point of A and B two hours before Narayan reaches B
\\frac{X + 4}{2}) = X – 2 => X=8 hrs
So, Partha would take 8+4 = 12 hrs to travel 60 Kms at a speed of \\frac{60}{12}) Kmph
Speed of Partha = 5 Kmph

The question is "The distance from A to B is 60 km. Partha and Narayan start from A at the same time and move towards B. Partha takes four hours more than Narayan to reach B. Moreover, Partha reaches the mid-point of A and B two hours before Narayan reaches B. The speed of Partha, in km per hour, is"

Hence, the answer is 5 Kmph

Choice D is the correct answer.