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Ravi, who lives in the countryside, caught a train for home earlier than usual yesterday. His wife normally drives to the station to meet him. But yesterday he set out on foot from the station to meet his wife on the way. He reached home 12 minutes earlier than he would have done had he waitedat the station for his wife. The car travels at a uniform speed, which is 5 times Ravi’s speed onfoot. Ravi reached home at exactly 6 O’clock. At what time would he have reached home if hiswife, forewarned of his plan, had met him at the station?
- a)5 : 48
- b)5 : 24
- c)5 : 00
- d)5 : 36
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Ravi, who lives in the countryside, caught a train for home earlier th...
The wife drives for 12 minutes less than her driving on normal days.
Thus, she would have saved 6 minutes each way. Hence, Ravi would have walked for 30 minutes
(since his speed is 1/5th of the car’s speed).
In effect, Ravi spends 24 minutes extra on the walking (rather than if he had traveled the same
distance by car).
Thus, if Ravi had got the car at the station only, he would have saved 24 minutes more and reached
at 5 : 36.
Thus, she would have saved 6 minutes each way. Hence, Ravi would have walked for 30 minutes
(since his speed is 1/5th of the car’s speed).
In effect, Ravi spends 24 minutes extra on the walking (rather than if he had traveled the same
distance by car).
Thus, if Ravi had got the car at the station only, he would have saved 24 minutes more and reached
at 5 : 36.
Most Upvoted Answer
Ravi, who lives in the countryside, caught a train for home earlier th...
Let's assume that Ravi's usual travel time from the station to his home is represented by "x" minutes.
If Ravi had waited at the station for his wife, his total travel time would have been x minutes + the time it takes for his wife to drive from their home to the station.
Since Ravi reached home 12 minutes earlier than he would have done by waiting at the station, we can set up the following equation:
x - 12 = x + (time for his wife to drive)
We also know that the car travels at a uniform speed, which is 5 times Ravi's walking speed. Let's call Ravi's walking speed "y" and the car's speed "5y".
Since speed equals distance divided by time, we can set up the following equation:
(x + (time for his wife to drive)) * 5y = x * y
Simplifying this equation, we get:
5xy + 5(time for his wife to drive) * y = xy
Since we know that the car travels at a uniform speed, we can assume that the distance from the station to Ravi's home is the same as the distance from Ravi's home to the meeting point with his wife. Let's call this distance "d".
This means that the time it takes for Ravi's wife to drive from their home to the station is equal to the time it takes for Ravi to walk from the station to the meeting point, or (d/y).
Substituting this value into the equation, we get:
5xy + 5(d/y) * y = xy
Simplifying further, we get:
5xy + 5d = xy
Moving all the terms to one side, we get:
5xy - xy = -5d
Simplifying again, we get:
4xy = -5d
Since the right side of the equation is negative, the left side must also be negative. This means that x and y have opposite signs.
Therefore, we can conclude that Ravi's walking speed (y) is negative and his usual travel time (x) is positive.
If Ravi had waited at the station for his wife, his total travel time would have been x minutes + the time it takes for his wife to drive from their home to the station.
Since Ravi reached home 12 minutes earlier than he would have done by waiting at the station, we can set up the following equation:
x - 12 = x + (time for his wife to drive)
We also know that the car travels at a uniform speed, which is 5 times Ravi's walking speed. Let's call Ravi's walking speed "y" and the car's speed "5y".
Since speed equals distance divided by time, we can set up the following equation:
(x + (time for his wife to drive)) * 5y = x * y
Simplifying this equation, we get:
5xy + 5(time for his wife to drive) * y = xy
Since we know that the car travels at a uniform speed, we can assume that the distance from the station to Ravi's home is the same as the distance from Ravi's home to the meeting point with his wife. Let's call this distance "d".
This means that the time it takes for Ravi's wife to drive from their home to the station is equal to the time it takes for Ravi to walk from the station to the meeting point, or (d/y).
Substituting this value into the equation, we get:
5xy + 5(d/y) * y = xy
Simplifying further, we get:
5xy + 5d = xy
Moving all the terms to one side, we get:
5xy - xy = -5d
Simplifying again, we get:
4xy = -5d
Since the right side of the equation is negative, the left side must also be negative. This means that x and y have opposite signs.
Therefore, we can conclude that Ravi's walking speed (y) is negative and his usual travel time (x) is positive.
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Ravi, who lives in the countryside, caught a train for home earlier than usual yesterday. His wife normally drives to the station to meet him. But yesterday he set out on foot from the station to meet his wife on the way. He reached home 12 minutes earlier than he would have done had he waitedat the station for his wife. The car travels at a uniform speed, which is 5 times Ravi’s speed onfoot. Ravi reached home at exactly 6 O’clock. At what time would he have reached home if hiswife, forewarned of his plan, had met him at the station?a)5 : 48b)5 : 24c)5 : 00d)5 : 36Correct answer is option 'D'. Can you explain this answer?
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Ravi, who lives in the countryside, caught a train for home earlier than usual yesterday. His wife normally drives to the station to meet him. But yesterday he set out on foot from the station to meet his wife on the way. He reached home 12 minutes earlier than he would have done had he waitedat the station for his wife. The car travels at a uniform speed, which is 5 times Ravi’s speed onfoot. Ravi reached home at exactly 6 O’clock. At what time would he have reached home if hiswife, forewarned of his plan, had met him at the station?a)5 : 48b)5 : 24c)5 : 00d)5 : 36Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Ravi, who lives in the countryside, caught a train for home earlier than usual yesterday. His wife normally drives to the station to meet him. But yesterday he set out on foot from the station to meet his wife on the way. He reached home 12 minutes earlier than he would have done had he waitedat the station for his wife. The car travels at a uniform speed, which is 5 times Ravi’s speed onfoot. Ravi reached home at exactly 6 O’clock. At what time would he have reached home if hiswife, forewarned of his plan, had met him at the station?a)5 : 48b)5 : 24c)5 : 00d)5 : 36Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ravi, who lives in the countryside, caught a train for home earlier than usual yesterday. His wife normally drives to the station to meet him. But yesterday he set out on foot from the station to meet his wife on the way. He reached home 12 minutes earlier than he would have done had he waitedat the station for his wife. The car travels at a uniform speed, which is 5 times Ravi’s speed onfoot. Ravi reached home at exactly 6 O’clock. At what time would he have reached home if hiswife, forewarned of his plan, had met him at the station?a)5 : 48b)5 : 24c)5 : 00d)5 : 36Correct answer is option 'D'. Can you explain this answer?.
Ravi, who lives in the countryside, caught a train for home earlier than usual yesterday. His wife normally drives to the station to meet him. But yesterday he set out on foot from the station to meet his wife on the way. He reached home 12 minutes earlier than he would have done had he waitedat the station for his wife. The car travels at a uniform speed, which is 5 times Ravi’s speed onfoot. Ravi reached home at exactly 6 O’clock. At what time would he have reached home if hiswife, forewarned of his plan, had met him at the station?a)5 : 48b)5 : 24c)5 : 00d)5 : 36Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Ravi, who lives in the countryside, caught a train for home earlier than usual yesterday. His wife normally drives to the station to meet him. But yesterday he set out on foot from the station to meet his wife on the way. He reached home 12 minutes earlier than he would have done had he waitedat the station for his wife. The car travels at a uniform speed, which is 5 times Ravi’s speed onfoot. Ravi reached home at exactly 6 O’clock. At what time would he have reached home if hiswife, forewarned of his plan, had met him at the station?a)5 : 48b)5 : 24c)5 : 00d)5 : 36Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ravi, who lives in the countryside, caught a train for home earlier than usual yesterday. His wife normally drives to the station to meet him. But yesterday he set out on foot from the station to meet his wife on the way. He reached home 12 minutes earlier than he would have done had he waitedat the station for his wife. The car travels at a uniform speed, which is 5 times Ravi’s speed onfoot. Ravi reached home at exactly 6 O’clock. At what time would he have reached home if hiswife, forewarned of his plan, had met him at the station?a)5 : 48b)5 : 24c)5 : 00d)5 : 36Correct answer is option 'D'. Can you explain this answer?.
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ample number of questions to practice Ravi, who lives in the countryside, caught a train for home earlier than usual yesterday. His wife normally drives to the station to meet him. But yesterday he set out on foot from the station to meet his wife on the way. He reached home 12 minutes earlier than he would have done had he waitedat the station for his wife. The car travels at a uniform speed, which is 5 times Ravi’s speed onfoot. Ravi reached home at exactly 6 O’clock. At what time would he have reached home if hiswife, forewarned of his plan, had met him at the station?a)5 : 48b)5 : 24c)5 : 00d)5 : 36Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Quant tests.
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