Quant Exam  >  Quant Questions  >  A train leaves the station 1/2 hour before th... Start Learning for Free
A train leaves the station 1/2 hour before the scheduled time. The driver decreases its speed by 25 km/hr. At the next station 250 km away, the train reached on time. Find the original speed of the train.
  • a)
    100 km/hr
  • b)
    125 km/hr
  • c)
      200 km/hr
  • d)
    180 km/hr
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A train leaves the station 1/2 hour before the scheduled time. The dri...
View all questions of this test
Most Upvoted Answer
A train leaves the station 1/2 hour before the scheduled time. The dri...
To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the original speed of the train is 'S' km/hr.

1. Train leaves the station 1/2 hour before the scheduled time:
Since the train leaves half an hour before the scheduled time, it will have an extra half hour to reach the destination. So, the total time it takes to reach the destination would be (T + 1/2) hours, where T is the scheduled time.

2. The driver decreases the speed by 25 km/hr:
After the driver decreases the speed, the new speed of the train would be (S - 25) km/hr.

3. At the next station 250 km away, the train reached on time:
Using the formula, we can write the equation as:

(T + 1/2) = 250 / (S - 25)

Now, let's solve the equation to find the value of S.

Multiply both sides of the equation by (S - 25):

(S - 25)(T + 1/2) = 250

Expand the equation:

ST + S/2 - 25T - 25/2 = 250

Multiply both sides by 2 to eliminate fractions:

2ST + S - 50T - 25 = 500

Rearrange the terms:

2ST - 50T + S = 525

Now, let's substitute the answer choices to find the correct value of S:

a) If S = 100 km/hr:
200T - 50T + 100 = 525
150T + 100 = 525
150T = 425
T = 425/150
T = 2.83 hours

b) If S = 125 km/hr:
250T - 50T + 125 = 525
200T + 125 = 525
200T = 400
T = 400/200
T = 2 hours

c) If S = 200 km/hr:
400T - 50T + 200 = 525
350T + 200 = 525
350T = 325
T = 325/350
T = 0.93 hours

d) If S = 180 km/hr:
360T - 50T + 180 = 525
310T + 180 = 525
310T = 345
T = 345/310
T = 1.11 hours

Based on the calculations, the only value of S that gives an integer value for T is S = 125 km/hr. Therefore, the original speed of the train is 125 km/hr.
Explore Courses for Quant exam
Question Description
A train leaves the station 1/2 hour before the scheduled time. The driver decreases its speed by 25 km/hr. At the next station 250 km away, the train reached on time. Find the original speed of the train.a)100 km/hrb)125 km/hrc) 200 km/hrd)180 km/hre)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A train leaves the station 1/2 hour before the scheduled time. The driver decreases its speed by 25 km/hr. At the next station 250 km away, the train reached on time. Find the original speed of the train.a)100 km/hrb)125 km/hrc) 200 km/hrd)180 km/hre)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train leaves the station 1/2 hour before the scheduled time. The driver decreases its speed by 25 km/hr. At the next station 250 km away, the train reached on time. Find the original speed of the train.a)100 km/hrb)125 km/hrc) 200 km/hrd)180 km/hre)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A train leaves the station 1/2 hour before the scheduled time. The driver decreases its speed by 25 km/hr. At the next station 250 km away, the train reached on time. Find the original speed of the train.a)100 km/hrb)125 km/hrc) 200 km/hrd)180 km/hre)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant. Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of A train leaves the station 1/2 hour before the scheduled time. The driver decreases its speed by 25 km/hr. At the next station 250 km away, the train reached on time. Find the original speed of the train.a)100 km/hrb)125 km/hrc) 200 km/hrd)180 km/hre)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A train leaves the station 1/2 hour before the scheduled time. The driver decreases its speed by 25 km/hr. At the next station 250 km away, the train reached on time. Find the original speed of the train.a)100 km/hrb)125 km/hrc) 200 km/hrd)180 km/hre)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A train leaves the station 1/2 hour before the scheduled time. The driver decreases its speed by 25 km/hr. At the next station 250 km away, the train reached on time. Find the original speed of the train.a)100 km/hrb)125 km/hrc) 200 km/hrd)180 km/hre)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A train leaves the station 1/2 hour before the scheduled time. The driver decreases its speed by 25 km/hr. At the next station 250 km away, the train reached on time. Find the original speed of the train.a)100 km/hrb)125 km/hrc) 200 km/hrd)180 km/hre)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A train leaves the station 1/2 hour before the scheduled time. The driver decreases its speed by 25 km/hr. At the next station 250 km away, the train reached on time. Find the original speed of the train.a)100 km/hrb)125 km/hrc) 200 km/hrd)180 km/hre)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
Explore Courses for Quant exam

Top Courses for Quant

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev