DSSSB TGT/PGT/PRT Exam > DSSSB TGT/PGT/PRT Questions > A car has to cover the distance 60 km. if hal...
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A car has to cover the distance 60 km. if half of the total time it travels with speed 80 km./hr. and in rest half time its speed becomes 40 km/hr. the average speed of car will be :
- a)180 kmph
- b)120 kmph
- c)80 kmph
- d)60 kmph
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A car has to cover the distance 60 km. if half of the total time it tr...
- Distance (S): The total distance traveled by an object from a starting point is called path length. Thus the total path length of an object is called distance traveled by that object.
- Average speed: The total path length traveled divided by the total time interval during which the motion has taken place is called the average speed of the particle.
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A car has to cover the distance 60 km. if half of the total time it tr...
Understanding the Problem
To find the average speed of the car over the total distance of 60 km, we need to analyze the time spent at different speeds.
Distance and Speed Breakdown
- The car travels for half of the time at a speed of 80 km/hr.
- For the other half of the time, the speed is reduced to 40 km/hr.
Calculating Time and Distance
1. Let the total time be T hours.
- Time at 80 km/hr = T/2
- Time at 40 km/hr = T/2
2. Distance Covered at Each Speed:
- Distance at 80 km/hr = Speed × Time = 80 × (T/2) = 40T km
- Distance at 40 km/hr = Speed × Time = 40 × (T/2) = 20T km
3. Total Distance Calculation:
- Total Distance = Distance at 80 km/hr + Distance at 40 km/hr
- Total Distance = 40T + 20T = 60T km
Since the total distance is given as 60 km:
- 60T = 60
- T = 1 hour
Finding Average Speed
- Total Distance = 60 km
- Total Time = 1 hour
The average speed is calculated using the formula:
Average Speed = Total Distance / Total Time
- Average Speed = 60 km / 1 hour = 60 km/hr
Conclusion
Thus, the average speed of the car over the journey is 60 km/hr, which corresponds to option 'D'.
To find the average speed of the car over the total distance of 60 km, we need to analyze the time spent at different speeds.
Distance and Speed Breakdown
- The car travels for half of the time at a speed of 80 km/hr.
- For the other half of the time, the speed is reduced to 40 km/hr.
Calculating Time and Distance
1. Let the total time be T hours.
- Time at 80 km/hr = T/2
- Time at 40 km/hr = T/2
2. Distance Covered at Each Speed:
- Distance at 80 km/hr = Speed × Time = 80 × (T/2) = 40T km
- Distance at 40 km/hr = Speed × Time = 40 × (T/2) = 20T km
3. Total Distance Calculation:
- Total Distance = Distance at 80 km/hr + Distance at 40 km/hr
- Total Distance = 40T + 20T = 60T km
Since the total distance is given as 60 km:
- 60T = 60
- T = 1 hour
Finding Average Speed
- Total Distance = 60 km
- Total Time = 1 hour
The average speed is calculated using the formula:
Average Speed = Total Distance / Total Time
- Average Speed = 60 km / 1 hour = 60 km/hr
Conclusion
Thus, the average speed of the car over the journey is 60 km/hr, which corresponds to option 'D'.
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Question Description
A car has to cover the distance 60 km. if half of the total time it travels with speed 80 km./hr. and in rest half time its speed becomes 40 km/hr. the average speed of car will be :a)180 kmphb)120 kmphc)80 kmphd)60 kmphCorrect answer is option 'D'. Can you explain this answer? for DSSSB TGT/PGT/PRT 2025 is part of DSSSB TGT/PGT/PRT preparation. The Question and answers have been prepared according to the DSSSB TGT/PGT/PRT exam syllabus. Information about A car has to cover the distance 60 km. if half of the total time it travels with speed 80 km./hr. and in rest half time its speed becomes 40 km/hr. the average speed of car will be :a)180 kmphb)120 kmphc)80 kmphd)60 kmphCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for DSSSB TGT/PGT/PRT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car has to cover the distance 60 km. if half of the total time it travels with speed 80 km./hr. and in rest half time its speed becomes 40 km/hr. the average speed of car will be :a)180 kmphb)120 kmphc)80 kmphd)60 kmphCorrect answer is option 'D'. Can you explain this answer?.
A car has to cover the distance 60 km. if half of the total time it travels with speed 80 km./hr. and in rest half time its speed becomes 40 km/hr. the average speed of car will be :a)180 kmphb)120 kmphc)80 kmphd)60 kmphCorrect answer is option 'D'. Can you explain this answer? for DSSSB TGT/PGT/PRT 2025 is part of DSSSB TGT/PGT/PRT preparation. The Question and answers have been prepared according to the DSSSB TGT/PGT/PRT exam syllabus. Information about A car has to cover the distance 60 km. if half of the total time it travels with speed 80 km./hr. and in rest half time its speed becomes 40 km/hr. the average speed of car will be :a)180 kmphb)120 kmphc)80 kmphd)60 kmphCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for DSSSB TGT/PGT/PRT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car has to cover the distance 60 km. if half of the total time it travels with speed 80 km./hr. and in rest half time its speed becomes 40 km/hr. the average speed of car will be :a)180 kmphb)120 kmphc)80 kmphd)60 kmphCorrect answer is option 'D'. Can you explain this answer?.
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A car has to cover the distance 60 km. if half of the total time it travels with speed 80 km./hr. and in rest half time its speed becomes 40 km/hr. the average speed of car will be :a)180 kmphb)120 kmphc)80 kmphd)60 kmphCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A car has to cover the distance 60 km. if half of the total time it travels with speed 80 km./hr. and in rest half time its speed becomes 40 km/hr. the average speed of car will be :a)180 kmphb)120 kmphc)80 kmphd)60 kmphCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A car has to cover the distance 60 km. if half of the total time it travels with speed 80 km./hr. and in rest half time its speed becomes 40 km/hr. the average speed of car will be :a)180 kmphb)120 kmphc)80 kmphd)60 kmphCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A car has to cover the distance 60 km. if half of the total time it travels with speed 80 km./hr. and in rest half time its speed becomes 40 km/hr. the average speed of car will be :a)180 kmphb)120 kmphc)80 kmphd)60 kmphCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice DSSSB TGT/PGT/PRT tests.
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