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A bus is moving with a speed of 10 metre per second on a straight road a scooterist wishes to overtake the bus is 100s. if the bus us at a distance of 1 km from the scoterist with what speed should the scooterist chase the bus?
Verified Answer
A bus is moving with a speed of 10 metre per second on a straight road...
Given:
Time(t)= 100 s , distance (s)=1km= 1000m
Vb=10m/s (relative speed with respect to the bus)
Velocity (V)=distance /time = 1000/100= 10m/s
Vs= velocity of scooter, Vb=velocity of bus
V = Vs-Vb (both bus & scooter are moving in the same direction)
10= Vs-10
10+10 = Vs
20=Vs
Vs=20m/s
This question is part of UPSC exam. View all Class 11 courses
Most Upvoted Answer
A bus is moving with a speed of 10 metre per second on a straight road...
Introduction:
In order to overtake the bus, the scooterist needs to match or surpass the speed of the bus. To calculate the speed at which the scooterist should chase the bus, we need to consider the distance between them and the time it takes for the scooterist to catch up.
Given:
- Speed of the bus = 10 m/s
- Distance between the bus and scooterist = 1 km = 1000 m
- Time = 100 s
Calculating the Speed:
To overtake the bus, the scooterist needs to reach the same position as the bus in a shorter amount of time. Let's calculate the speed at which the scooterist should chase the bus.
Step 1: Calculate the distance covered by the bus:
Distance = Speed × Time
Distance = 10 m/s × 100 s
Distance = 1000 m
Step 2: Calculate the speed at which the scooterist should chase the bus:
Since the scooterist needs to cover the same distance as the bus (1000 m) in a shorter time (100 s), the speed should be greater than 10 m/s.
Speed = Distance/Time
Speed = 1000 m/100 s
Speed = 10 m/s
Explanation:
The scooterist needs to chase the bus with a speed of 10 m/s in order to overtake it. By matching the speed of the bus, the scooterist will cover the same distance in the same time, allowing them to catch up with the bus.
Conclusion:
To overtake the bus, the scooterist should chase it with a speed of 10 m/s. By matching the bus's speed, the scooterist will be able to cover the same distance in the same time, eventually catching up with the bus.
In order to overtake the bus, the scooterist needs to match or surpass the speed of the bus. To calculate the speed at which the scooterist should chase the bus, we need to consider the distance between them and the time it takes for the scooterist to catch up.
Given:
- Speed of the bus = 10 m/s
- Distance between the bus and scooterist = 1 km = 1000 m
- Time = 100 s
Calculating the Speed:
To overtake the bus, the scooterist needs to reach the same position as the bus in a shorter amount of time. Let's calculate the speed at which the scooterist should chase the bus.
Step 1: Calculate the distance covered by the bus:
Distance = Speed × Time
Distance = 10 m/s × 100 s
Distance = 1000 m
Step 2: Calculate the speed at which the scooterist should chase the bus:
Since the scooterist needs to cover the same distance as the bus (1000 m) in a shorter time (100 s), the speed should be greater than 10 m/s.
Speed = Distance/Time
Speed = 1000 m/100 s
Speed = 10 m/s
Explanation:
The scooterist needs to chase the bus with a speed of 10 m/s in order to overtake it. By matching the speed of the bus, the scooterist will cover the same distance in the same time, allowing them to catch up with the bus.
Conclusion:
To overtake the bus, the scooterist should chase it with a speed of 10 m/s. By matching the bus's speed, the scooterist will be able to cover the same distance in the same time, eventually catching up with the bus.
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A bus is moving with a speed of 10 metre per second on a straight road a scooterist wishes to overtake the bus is 100s. if the bus us at a distance of 1 km from the scoterist with what speed should the scooterist chase the bus?
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A bus is moving with a speed of 10 metre per second on a straight road a scooterist wishes to overtake the bus is 100s. if the bus us at a distance of 1 km from the scoterist with what speed should the scooterist chase the bus? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A bus is moving with a speed of 10 metre per second on a straight road a scooterist wishes to overtake the bus is 100s. if the bus us at a distance of 1 km from the scoterist with what speed should the scooterist chase the bus? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bus is moving with a speed of 10 metre per second on a straight road a scooterist wishes to overtake the bus is 100s. if the bus us at a distance of 1 km from the scoterist with what speed should the scooterist chase the bus?.
A bus is moving with a speed of 10 metre per second on a straight road a scooterist wishes to overtake the bus is 100s. if the bus us at a distance of 1 km from the scoterist with what speed should the scooterist chase the bus? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A bus is moving with a speed of 10 metre per second on a straight road a scooterist wishes to overtake the bus is 100s. if the bus us at a distance of 1 km from the scoterist with what speed should the scooterist chase the bus? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bus is moving with a speed of 10 metre per second on a straight road a scooterist wishes to overtake the bus is 100s. if the bus us at a distance of 1 km from the scoterist with what speed should the scooterist chase the bus?.
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