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Two cars P and Q are moving in a racing track continuously for two hour. Assume that no other vehicles are using the track during this time. The expressions relating the distance travelled d (in km) and time t (in hour) for both the vehicles are given as
P:d = 60t
Q:d = 60t2
P:d = 60t
Q:d = 60t2
Within the first one hour, the maximum space headway would be
- a)15 km at 30 minutes
- b)15 km at 15 minutes
- c)30 km at 30 minutes
- d)30 km at 15 minutes
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Two cars P and Q are moving in a racing track continuously for two hou...
P: d = 60t , Q : d = 60t2
Distance at any time t between P and Q is given by d(t) = 60t - 60t2
For space headway to be maximum
So, space headway would be max at t = 30 minutes
Distance at any time t between P and Q is given by d(t) = 60t - 60t2
For space headway to be maximum
So, space headway would be max at t = 30 minutes
Most Upvoted Answer
Two cars P and Q are moving in a racing track continuously for two hou...
Given information:
Two cars, P and Q, are moving in a racing track continuously for two hours. No other vehicles are using the track during this time.
The expressions relating the distance traveled (d) and time (t) for both vehicles are given as:
P: d = 60t
Q: d = 60t^2
Explanation:
To find the maximum space headway within the first hour, we need to calculate the distance traveled by both cars within that time frame.
Distance traveled by car P:
As per the given expression, car P's distance (d) is given by:
d = 60t
Within the first hour (t = 1 hour), we can substitute the value of t into the expression to find the distance traveled by car P:
d = 60 * 1 = 60 km
Distance traveled by car Q:
Similarly, for car Q, the distance (d) is given by:
d = 60t^2
Within the first hour (t = 1 hour), we can substitute the value of t into the expression to find the distance traveled by car Q:
d = 60 * (1)^2 = 60 km
Maximum space headway:
The maximum space headway refers to the maximum distance between the two cars at any given point within the first hour.
Since both cars are moving continuously for two hours, their paths will intersect at some point. The maximum space headway occurs when the cars are farthest apart, which is at the end of the first hour.
Within the first hour, car P has traveled a distance of 60 km, while car Q has also traveled a distance of 60 km. Therefore, the maximum space headway within the first hour is when car P and car Q are at their farthest point, which is 60 km.
Conclusion:
The correct answer is option 'A' - 15 km at 30 minutes, as the maximum space headway within the first hour is 60 km, which occurs when car P and car Q are at their farthest point.
Two cars, P and Q, are moving in a racing track continuously for two hours. No other vehicles are using the track during this time.
The expressions relating the distance traveled (d) and time (t) for both vehicles are given as:
P: d = 60t
Q: d = 60t^2
Explanation:
To find the maximum space headway within the first hour, we need to calculate the distance traveled by both cars within that time frame.
Distance traveled by car P:
As per the given expression, car P's distance (d) is given by:
d = 60t
Within the first hour (t = 1 hour), we can substitute the value of t into the expression to find the distance traveled by car P:
d = 60 * 1 = 60 km
Distance traveled by car Q:
Similarly, for car Q, the distance (d) is given by:
d = 60t^2
Within the first hour (t = 1 hour), we can substitute the value of t into the expression to find the distance traveled by car Q:
d = 60 * (1)^2 = 60 km
Maximum space headway:
The maximum space headway refers to the maximum distance between the two cars at any given point within the first hour.
Since both cars are moving continuously for two hours, their paths will intersect at some point. The maximum space headway occurs when the cars are farthest apart, which is at the end of the first hour.
Within the first hour, car P has traveled a distance of 60 km, while car Q has also traveled a distance of 60 km. Therefore, the maximum space headway within the first hour is when car P and car Q are at their farthest point, which is 60 km.
Conclusion:
The correct answer is option 'A' - 15 km at 30 minutes, as the maximum space headway within the first hour is 60 km, which occurs when car P and car Q are at their farthest point.
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Two cars P and Q are moving in a racing track continuously for two hour. Assume that no other vehicles are using the track during this time. The expressions relating the distance travelled d (in km) and time t (in hour) for both the vehicles are given asP:d = 60tQ:d = 60t2Within the first one hour, the maximum space headway would bea)15 km at 30 minutes b)15 km at 15 minutes c)30 km at 30 minutes d)30 km at 15 minutesCorrect answer is option 'A'. Can you explain this answer?
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Two cars P and Q are moving in a racing track continuously for two hour. Assume that no other vehicles are using the track during this time. The expressions relating the distance travelled d (in km) and time t (in hour) for both the vehicles are given asP:d = 60tQ:d = 60t2Within the first one hour, the maximum space headway would bea)15 km at 30 minutes b)15 km at 15 minutes c)30 km at 30 minutes d)30 km at 15 minutesCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Two cars P and Q are moving in a racing track continuously for two hour. Assume that no other vehicles are using the track during this time. The expressions relating the distance travelled d (in km) and time t (in hour) for both the vehicles are given asP:d = 60tQ:d = 60t2Within the first one hour, the maximum space headway would bea)15 km at 30 minutes b)15 km at 15 minutes c)30 km at 30 minutes d)30 km at 15 minutesCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cars P and Q are moving in a racing track continuously for two hour. Assume that no other vehicles are using the track during this time. The expressions relating the distance travelled d (in km) and time t (in hour) for both the vehicles are given asP:d = 60tQ:d = 60t2Within the first one hour, the maximum space headway would bea)15 km at 30 minutes b)15 km at 15 minutes c)30 km at 30 minutes d)30 km at 15 minutesCorrect answer is option 'A'. Can you explain this answer?.
Two cars P and Q are moving in a racing track continuously for two hour. Assume that no other vehicles are using the track during this time. The expressions relating the distance travelled d (in km) and time t (in hour) for both the vehicles are given asP:d = 60tQ:d = 60t2Within the first one hour, the maximum space headway would bea)15 km at 30 minutes b)15 km at 15 minutes c)30 km at 30 minutes d)30 km at 15 minutesCorrect answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Two cars P and Q are moving in a racing track continuously for two hour. Assume that no other vehicles are using the track during this time. The expressions relating the distance travelled d (in km) and time t (in hour) for both the vehicles are given asP:d = 60tQ:d = 60t2Within the first one hour, the maximum space headway would bea)15 km at 30 minutes b)15 km at 15 minutes c)30 km at 30 minutes d)30 km at 15 minutesCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cars P and Q are moving in a racing track continuously for two hour. Assume that no other vehicles are using the track during this time. The expressions relating the distance travelled d (in km) and time t (in hour) for both the vehicles are given asP:d = 60tQ:d = 60t2Within the first one hour, the maximum space headway would bea)15 km at 30 minutes b)15 km at 15 minutes c)30 km at 30 minutes d)30 km at 15 minutesCorrect answer is option 'A'. Can you explain this answer?.
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