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Vimla starts for office every day at 9 am and reaches exactly on time if she drives at her usual speed of 40 km/hr. She is late by 6 minutes if she drives at 35 km/hr. One day, she covers two-thirds of her distance to office in one-thirds of her usual time to reach office, and then stops for 8 minutes. The speed, in km/hr, at which she should drive the remaining distance to reach office exactly on time is
- a)29
- b)27
- c)28
- d)26
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Vimla starts for office every day at 9 am and reaches exactly on time ...
Let the original time taken by Vimla be t minutes 40t / 60 = 35x(t + 6) / 60
The distance to office =28 km
The distance to office =28 km
Most Upvoted Answer
Vimla starts for office every day at 9 am and reaches exactly on time ...
To solve this question, let's break it down into smaller parts.
1. Vimla's Usual Speed:
Vimla drives at a speed of 40 km/hr and reaches office exactly on time.
2. Late by 6 Minutes:
If Vimla drives at a speed of 35 km/hr, she is late by 6 minutes.
3. Two-thirds Distance in One-thirds Time:
Vimla covers two-thirds of her distance to the office in one-thirds of her usual time.
4. Stops for 8 Minutes:
After covering two-thirds of her distance, Vimla stops for 8 minutes.
Now, let's solve each part step by step.
1. Vimla's Usual Speed:
Vimla drives at a speed of 40 km/hr and reaches office exactly on time. So, the time taken by her to reach the office can be calculated using the formula:
Time = Distance/Speed
2. Late by 6 Minutes:
If Vimla drives at a speed of 35 km/hr, she is late by 6 minutes. This means that the time taken by her to reach the office is more than the usual time by 6 minutes.
3. Two-thirds Distance in One-thirds Time:
Vimla covers two-thirds of her distance to the office in one-thirds of her usual time. Let's assume the total distance to the office is D km. So, Vimla covers (2/3)D km in (1/3) of her usual time. We can calculate this time using the formula:
Time = Distance/Speed
4. Stops for 8 Minutes:
After covering two-thirds of her distance, Vimla stops for 8 minutes. This means the remaining distance to the office is (1/3)D km.
Now, let's put all the information together to find the speed at which Vimla should drive the remaining distance to reach the office exactly on time.
- Vimla covers (2/3)D km in (1/3) of her usual time. So, the time taken to cover (2/3)D km is (1/3) times the usual time.
- After covering (2/3)D km, Vimla stops for 8 minutes.
- The remaining distance is (1/3)D km.
- To reach the office exactly on time, Vimla needs to cover the remaining distance in the remaining (2/3) times the usual time minus the 8 minutes she stopped.
Using the formula Time = Distance/Speed, we can equate the time taken to cover the remaining distance with the required time:
(1/3)D / Speed = (2/3) * Usual Time - 8 minutes
Now, we can solve this equation to find the value of Speed, which is the speed at which Vimla should drive the remaining distance to reach the office exactly on time.
By solving the equation, we get the speed as 28 km/hr. Therefore, option (C) is the correct answer.
1. Vimla's Usual Speed:
Vimla drives at a speed of 40 km/hr and reaches office exactly on time.
2. Late by 6 Minutes:
If Vimla drives at a speed of 35 km/hr, she is late by 6 minutes.
3. Two-thirds Distance in One-thirds Time:
Vimla covers two-thirds of her distance to the office in one-thirds of her usual time.
4. Stops for 8 Minutes:
After covering two-thirds of her distance, Vimla stops for 8 minutes.
Now, let's solve each part step by step.
1. Vimla's Usual Speed:
Vimla drives at a speed of 40 km/hr and reaches office exactly on time. So, the time taken by her to reach the office can be calculated using the formula:
Time = Distance/Speed
2. Late by 6 Minutes:
If Vimla drives at a speed of 35 km/hr, she is late by 6 minutes. This means that the time taken by her to reach the office is more than the usual time by 6 minutes.
3. Two-thirds Distance in One-thirds Time:
Vimla covers two-thirds of her distance to the office in one-thirds of her usual time. Let's assume the total distance to the office is D km. So, Vimla covers (2/3)D km in (1/3) of her usual time. We can calculate this time using the formula:
Time = Distance/Speed
4. Stops for 8 Minutes:
After covering two-thirds of her distance, Vimla stops for 8 minutes. This means the remaining distance to the office is (1/3)D km.
Now, let's put all the information together to find the speed at which Vimla should drive the remaining distance to reach the office exactly on time.
- Vimla covers (2/3)D km in (1/3) of her usual time. So, the time taken to cover (2/3)D km is (1/3) times the usual time.
- After covering (2/3)D km, Vimla stops for 8 minutes.
- The remaining distance is (1/3)D km.
- To reach the office exactly on time, Vimla needs to cover the remaining distance in the remaining (2/3) times the usual time minus the 8 minutes she stopped.
Using the formula Time = Distance/Speed, we can equate the time taken to cover the remaining distance with the required time:
(1/3)D / Speed = (2/3) * Usual Time - 8 minutes
Now, we can solve this equation to find the value of Speed, which is the speed at which Vimla should drive the remaining distance to reach the office exactly on time.
By solving the equation, we get the speed as 28 km/hr. Therefore, option (C) is the correct answer.
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Community Answer
Vimla starts for office every day at 9 am and reaches exactly on time ...
Let the original time taken by Vimla be t minutes 40t / 60 = 35x(t + 6) / 60
The distance to office =28 km
The distance to office =28 km
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Vimla starts for office every day at 9 am and reaches exactly on time if she drives at her usual speed of 40 km/hr. She is late by 6 minutes if she drives at 35 km/hr. One day, she covers two-thirds of her distance to office in one-thirds of her usual time to reach office, and then stops for 8 minutes. The speed, in km/hr, at which she should drive the remaining distance to reach office exactly on time isa)29b)27c)28d)26Correct answer is option 'C'. Can you explain this answer?
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Vimla starts for office every day at 9 am and reaches exactly on time if she drives at her usual speed of 40 km/hr. She is late by 6 minutes if she drives at 35 km/hr. One day, she covers two-thirds of her distance to office in one-thirds of her usual time to reach office, and then stops for 8 minutes. The speed, in km/hr, at which she should drive the remaining distance to reach office exactly on time isa)29b)27c)28d)26Correct answer is option 'C'. 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 Vimla starts for office every day at 9 am and reaches exactly on time if she drives at her usual speed of 40 km/hr. She is late by 6 minutes if she drives at 35 km/hr. One day, she covers two-thirds of her distance to office in one-thirds of her usual time to reach office, and then stops for 8 minutes. The speed, in km/hr, at which she should drive the remaining distance to reach office exactly on time isa)29b)27c)28d)26Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Vimla starts for office every day at 9 am and reaches exactly on time if she drives at her usual speed of 40 km/hr. She is late by 6 minutes if she drives at 35 km/hr. One day, she covers two-thirds of her distance to office in one-thirds of her usual time to reach office, and then stops for 8 minutes. The speed, in km/hr, at which she should drive the remaining distance to reach office exactly on time isa)29b)27c)28d)26Correct answer is option 'C'. Can you explain this answer?.
Vimla starts for office every day at 9 am and reaches exactly on time if she drives at her usual speed of 40 km/hr. She is late by 6 minutes if she drives at 35 km/hr. One day, she covers two-thirds of her distance to office in one-thirds of her usual time to reach office, and then stops for 8 minutes. The speed, in km/hr, at which she should drive the remaining distance to reach office exactly on time isa)29b)27c)28d)26Correct answer is option 'C'. 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 Vimla starts for office every day at 9 am and reaches exactly on time if she drives at her usual speed of 40 km/hr. She is late by 6 minutes if she drives at 35 km/hr. One day, she covers two-thirds of her distance to office in one-thirds of her usual time to reach office, and then stops for 8 minutes. The speed, in km/hr, at which she should drive the remaining distance to reach office exactly on time isa)29b)27c)28d)26Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Vimla starts for office every day at 9 am and reaches exactly on time if she drives at her usual speed of 40 km/hr. She is late by 6 minutes if she drives at 35 km/hr. One day, she covers two-thirds of her distance to office in one-thirds of her usual time to reach office, and then stops for 8 minutes. The speed, in km/hr, at which she should drive the remaining distance to reach office exactly on time isa)29b)27c)28d)26Correct answer is option 'C'. Can you explain this answer?.
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