UGC NET CSE | June 2023 | Part 1: 25

Question

A passenger train running at the speed of $75 \mathrm{~km} / \mathrm{hr}$ leaves the railway station $9$ hours after a goods train leaves and overtakes it in $6$ hours. The speed of the goods train is

• A. $35 \mathrm{~km} / \mathrm{hr}$
• B. $32 \mathrm{~km} / \mathrm{hr}$
• C. $30 \mathrm{~km} / \mathrm{hr}$
• D. $28 \mathrm{~km} / \mathrm{hr}$

Answer 1

Let say, speed of goods train is $x km/hr. $

 

Passenger train speed is 75 km/hr and it overtakes the goods train after 6 hours. 

 

i.e within 6 hours the passenger train covered the distance :

75 x 6 km = 450 km 

 

Goods train travelled total (9+6) hours = 15 hours when Passenger train overtakes it. 

 

Total distance travelled by Goods train = 15x km 

 

So, 15x = 450 i.e x = 30 

 

Speed of the goods train is  $ 30\ km/hr $

 

Correct Ans : $ Option\ C $