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A train of length 250 m crosses a lamppost in 10 seconds. What should be the increase in the speed of the train so that it can cover a distance of 1350 km in 10 hours?
- a)50%
- b)75%
- c)60%
- d)40%
Correct answer is option 'A'. Can you explain this answer?
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A train of length 250 m crosses a lamppost in 10 seconds. What should...
The speed of the train is 250/10 = 25m/s = 90kmph. Required speed = 1350/10 = 135 kmph. Therefore, speed should increase by 50%.
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A train of length 250 m crosses a lamppost in 10 seconds. What should...
Speed of the Train
To find the initial speed of the train, we can use the formula for speed:
- Speed = Distance / Time
The train crosses a lamppost, which means it covers its own length of 250 m in 10 seconds.
- Distance = 250 m
- Time = 10 s
Calculating the speed:
- Speed = 250 m / 10 s = 25 m/s
Convert Speed to km/h
To convert the speed from meters per second to kilometers per hour, we multiply by 18/5:
- Speed in km/h = 25 m/s * (18/5) = 90 km/h
Distance to Cover
Next, we need to calculate the required speed to cover 1350 km in 10 hours.
- Distance = 1350 km
- Time = 10 hours
The required speed can be calculated as follows:
- Required Speed = Distance / Time = 1350 km / 10 h = 135 km/h
Increase in Speed
Now, we find the increase in speed required:
- Increase in Speed = Required Speed - Initial Speed
- Increase in Speed = 135 km/h - 90 km/h = 45 km/h
Percentage Increase
To find the percentage increase in speed:
- Percentage Increase = (Increase in Speed / Initial Speed) * 100
- Percentage Increase = (45 km/h / 90 km/h) * 100 = 50%
Thus, the train needs to increase its speed by 50% to cover 1350 km in 10 hours.
Hence, the correct answer is option 'A'.
To find the initial speed of the train, we can use the formula for speed:
- Speed = Distance / Time
The train crosses a lamppost, which means it covers its own length of 250 m in 10 seconds.
- Distance = 250 m
- Time = 10 s
Calculating the speed:
- Speed = 250 m / 10 s = 25 m/s
Convert Speed to km/h
To convert the speed from meters per second to kilometers per hour, we multiply by 18/5:
- Speed in km/h = 25 m/s * (18/5) = 90 km/h
Distance to Cover
Next, we need to calculate the required speed to cover 1350 km in 10 hours.
- Distance = 1350 km
- Time = 10 hours
The required speed can be calculated as follows:
- Required Speed = Distance / Time = 1350 km / 10 h = 135 km/h
Increase in Speed
Now, we find the increase in speed required:
- Increase in Speed = Required Speed - Initial Speed
- Increase in Speed = 135 km/h - 90 km/h = 45 km/h
Percentage Increase
To find the percentage increase in speed:
- Percentage Increase = (Increase in Speed / Initial Speed) * 100
- Percentage Increase = (45 km/h / 90 km/h) * 100 = 50%
Thus, the train needs to increase its speed by 50% to cover 1350 km in 10 hours.
Hence, the correct answer is option 'A'.
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A train of length 250 m crosses a lamppost in 10 seconds. What should be the increase in the speed of the train so that it can cover a distance of 1350 km in 10 hours?a)50%b)75%c)60%d)40%Correct answer is option 'A'. Can you explain this answer?
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