CAT Exam > CAT Questions > If Ajay drives at 50 km/hr, he reaches offic...
Start Learning for Free
If Ajay drives at 50 km/hr, he reaches office at 10 AM and if he drives at 60 km/hr, he reaches office at 9:30 AM. At what speed should he drive to reach office at 9:00 AM ?
- a)70 Km/hr
- b)75 Km/hr
- c)72 Km/hr
- d)Can't be determined
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
If Ajay drives at 50 km/hr, he reaches office at 10 AM and if he driv...
Problem: If Ajay drives at 50 km/hr, he reaches office at 10 AM and if he drives at 60 km/hr, he reaches office at 9:30 AM. At what speed should he drive to reach office at 9:00 AM?
Solution:
To solve this problem, we need to determine the speed at which Ajay should drive in order to reach the office at 9:00 AM.
Let's assume that the distance between Ajay's home and office is 'd' kilometers.
Step 1: Calculate the time taken to reach the office at 50 km/hr.
- Ajay drives at 50 km/hr, so the time taken to cover 'd' kilometers is given by:
Time taken = Distance / Speed = d / 50
Step 2: Calculate the time taken to reach the office at 60 km/hr.
- Ajay drives at 60 km/hr, so the time taken to cover 'd' kilometers is given by:
Time taken = Distance / Speed = d / 60
Step 3: Calculate the time difference between reaching the office at 10 AM and 9:30 AM.
- The time difference is 30 minutes or 0.5 hours.
Step 4: Set up the equation based on the time difference.
- From step 1, we know that the time taken to reach the office at 50 km/hr is d / 50.
- From step 2, we know that the time taken to reach the office at 60 km/hr is d / 60.
- We need to find the speed at which Ajay should drive to reach the office at 9:00 AM, which is 0.5 hours earlier than 9:30 AM.
- So, the equation becomes:
(d / 50) - (d / 60) = 0.5
Step 5: Solve the equation to find the value of 'd'.
- Multiply through by the least common multiple (LCM) of the denominators, which is 300:
6d - 5d = 150
d = 150
Step 6: Calculate the speed at which Ajay should drive to reach the office at 9:00 AM.
- The time taken to cover the distance of 150 km at the desired speed is 1 hour (9:00 AM - 10:00 AM).
- Therefore, the speed at which Ajay should drive is given by:
Speed = Distance / Time = 150 / 1 = 150 km/hr
Hence, Ajay should drive at a speed of 150 km/hr to reach the office at 9:00 AM.
Solution:
To solve this problem, we need to determine the speed at which Ajay should drive in order to reach the office at 9:00 AM.
Let's assume that the distance between Ajay's home and office is 'd' kilometers.
Step 1: Calculate the time taken to reach the office at 50 km/hr.
- Ajay drives at 50 km/hr, so the time taken to cover 'd' kilometers is given by:
Time taken = Distance / Speed = d / 50
Step 2: Calculate the time taken to reach the office at 60 km/hr.
- Ajay drives at 60 km/hr, so the time taken to cover 'd' kilometers is given by:
Time taken = Distance / Speed = d / 60
Step 3: Calculate the time difference between reaching the office at 10 AM and 9:30 AM.
- The time difference is 30 minutes or 0.5 hours.
Step 4: Set up the equation based on the time difference.
- From step 1, we know that the time taken to reach the office at 50 km/hr is d / 50.
- From step 2, we know that the time taken to reach the office at 60 km/hr is d / 60.
- We need to find the speed at which Ajay should drive to reach the office at 9:00 AM, which is 0.5 hours earlier than 9:30 AM.
- So, the equation becomes:
(d / 50) - (d / 60) = 0.5
Step 5: Solve the equation to find the value of 'd'.
- Multiply through by the least common multiple (LCM) of the denominators, which is 300:
6d - 5d = 150
d = 150
Step 6: Calculate the speed at which Ajay should drive to reach the office at 9:00 AM.
- The time taken to cover the distance of 150 km at the desired speed is 1 hour (9:00 AM - 10:00 AM).
- Therefore, the speed at which Ajay should drive is given by:
Speed = Distance / Time = 150 / 1 = 150 km/hr
Hence, Ajay should drive at a speed of 150 km/hr to reach the office at 9:00 AM.
Free Test
FREE
| Start Free Test |
Community Answer
If Ajay drives at 50 km/hr, he reaches office at 10 AM and if he driv...
Let the time taken by him to reach the office at 50 kmph be T hours.
So, at 60 kmph, time taken = 
In both the cases, the distance would be same.
On solving, we get T = 3 hours.
So, distance = (3 * 50) = 150 km
And he starts for office at (10 - 3) AM i.e 7 AM
To reach at 9 AM, he has to travel 150 km in 2 hours.
Required speed = 150/2 kmph = 75 kmph.
Hence, option B is the correct answer.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
If Ajay drives at 50 km/hr, he reaches office at 10 AM and if he drives at 60 km/hr, he reaches office at 9:30 AM. At what speed should he drive to reach office at 9:00 AM ?a)70 Km/hrb)75 Km/hrc)72 Km/hrd)Can't be determinedCorrect answer is option 'B'. Can you explain this answer?
Question Description
If Ajay drives at 50 km/hr, he reaches office at 10 AM and if he drives at 60 km/hr, he reaches office at 9:30 AM. At what speed should he drive to reach office at 9:00 AM ?a)70 Km/hrb)75 Km/hrc)72 Km/hrd)Can't be determinedCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If Ajay drives at 50 km/hr, he reaches office at 10 AM and if he drives at 60 km/hr, he reaches office at 9:30 AM. At what speed should he drive to reach office at 9:00 AM ?a)70 Km/hrb)75 Km/hrc)72 Km/hrd)Can't be determinedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If Ajay drives at 50 km/hr, he reaches office at 10 AM and if he drives at 60 km/hr, he reaches office at 9:30 AM. At what speed should he drive to reach office at 9:00 AM ?a)70 Km/hrb)75 Km/hrc)72 Km/hrd)Can't be determinedCorrect answer is option 'B'. Can you explain this answer?.
If Ajay drives at 50 km/hr, he reaches office at 10 AM and if he drives at 60 km/hr, he reaches office at 9:30 AM. At what speed should he drive to reach office at 9:00 AM ?a)70 Km/hrb)75 Km/hrc)72 Km/hrd)Can't be determinedCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If Ajay drives at 50 km/hr, he reaches office at 10 AM and if he drives at 60 km/hr, he reaches office at 9:30 AM. At what speed should he drive to reach office at 9:00 AM ?a)70 Km/hrb)75 Km/hrc)72 Km/hrd)Can't be determinedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If Ajay drives at 50 km/hr, he reaches office at 10 AM and if he drives at 60 km/hr, he reaches office at 9:30 AM. At what speed should he drive to reach office at 9:00 AM ?a)70 Km/hrb)75 Km/hrc)72 Km/hrd)Can't be determinedCorrect answer is option 'B'. Can you explain this answer?.
Solutions for If Ajay drives at 50 km/hr, he reaches office at 10 AM and if he drives at 60 km/hr, he reaches office at 9:30 AM. At what speed should he drive to reach office at 9:00 AM ?a)70 Km/hrb)75 Km/hrc)72 Km/hrd)Can't be determinedCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of If Ajay drives at 50 km/hr, he reaches office at 10 AM and if he drives at 60 km/hr, he reaches office at 9:30 AM. At what speed should he drive to reach office at 9:00 AM ?a)70 Km/hrb)75 Km/hrc)72 Km/hrd)Can't be determinedCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If Ajay drives at 50 km/hr, he reaches office at 10 AM and if he drives at 60 km/hr, he reaches office at 9:30 AM. At what speed should he drive to reach office at 9:00 AM ?a)70 Km/hrb)75 Km/hrc)72 Km/hrd)Can't be determinedCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for If Ajay drives at 50 km/hr, he reaches office at 10 AM and if he drives at 60 km/hr, he reaches office at 9:30 AM. At what speed should he drive to reach office at 9:00 AM ?a)70 Km/hrb)75 Km/hrc)72 Km/hrd)Can't be determinedCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of If Ajay drives at 50 km/hr, he reaches office at 10 AM and if he drives at 60 km/hr, he reaches office at 9:30 AM. At what speed should he drive to reach office at 9:00 AM ?a)70 Km/hrb)75 Km/hrc)72 Km/hrd)Can't be determinedCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If Ajay drives at 50 km/hr, he reaches office at 10 AM and if he drives at 60 km/hr, he reaches office at 9:30 AM. At what speed should he drive to reach office at 9:00 AM ?a)70 Km/hrb)75 Km/hrc)72 Km/hrd)Can't be determinedCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup