CAT 2018 Slot 1 — QA Question 14
Basics of TSD/ProportinalityEasy
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
Answer & solution
- A
4
- B
3
- C
6
5
Solution
Let the time taken by Narayan to cover 60 km be ‘t’ hours.
Therefore, Partha takes (t + 4) hours to cover 60 km.
Parth takes (t – 2) hours to cover half the distance.
So, to cover remaining distance i.e., 30 km, he takes (t + 4) – (t – 2) = 6 hours.
Hence, Partha's speed = 30/6 = 5 kmph
Hence, option (d).