Bunuel wrote:
An express train traveled at an average speed of 100 kilometers per hour, stopping for 3 minutes after every 75 kilometers. A local train traveled at an average speed of 50 kilometers per hour, stopping for 1 minute after every 25 kilometers. If the trains began traveling at the same time, how many kilometers did the local train travel in the time it took the express train to travel 600 kilometers?
(A) 300
(B) 305
(C) 307.5
(D) 1200
(E) 1236
Express train travel an average speed of 100 km/hour, taking the train 45 minutes to travel 75 km.
It will take the express train \(\frac{600}{75} = 8*45\) minutes per stretch of 75 km =
360 minutesAdditionally, it stops 3 minutes after it has traveled 75 km. This would add another
21 minutes(7 times in total - after 75,150,225,300,375,450, and 525 km) to the total time spent to travel 600 km.
The time taken by the express train to travel 600 km is
381(360+21) minutes
We have been asked to find the distance covered by the local train in this time, provided it stops
a minute after traveling 25 kms(which will take it half an hour to travel at an average of 50 km/hr)
The time taken for the local train to travel
25 km is 31 minutes.
The total distance traveled by the local train is \(\frac{381}{31}*25 = 307.5\)(approximately) (Option C)
_________________
You've got what it takes, but it will take everything you've got
Connect with me on LinkedIn - https://www.linkedin.com/in/pushpit-chhajer-19388112a/