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A bus runs at 50 kmph. If the speed is increased by 10 kmph, it will cover 20 km more in the same time. Find the actual distance covered?
- a)100 km
- b)150 km
- c)200 km
- d)250 km
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A bus runs at 50 kmph. If the speed is increased by 10 kmph, it will c...
Let the distance covered by 50kmph be x km
Given that if the speed is increased by 10 kmph, then the distance covered is (x + 20) km
Also given that time is same for both the cases
⇒ x/50 = (x + 20)/60
⇒ 50x + 1000 = 60x
⇒ 1000 = 10x
⇒ x = 1000/10 = 100 km
∴ Actual distance covered = 100 km
⇒ x/50 = (x + 20)/60
⇒ 50x + 1000 = 60x
⇒ 1000 = 10x
⇒ x = 1000/10 = 100 km
∴ Actual distance covered = 100 km
Most Upvoted Answer
A bus runs at 50 kmph. If the speed is increased by 10 kmph, it will c...
To solve this problem, let's assume that the actual distance covered by the bus is 'd' km.
Given:
- Bus speed = 50 kmph
- Increased speed = 50 + 10 = 60 kmph
- Increased distance covered = actual distance covered + 20 km
We need to find the actual distance covered by the bus.
Let's calculate the time taken to cover the actual distance at a speed of 50 kmph.
- Time taken = Distance / Speed = d / 50
Now, let's calculate the time taken to cover the increased distance at a speed of 60 kmph.
- Time taken = (Distance + 20) / 60
According to the given information, the time taken to cover the actual distance and the increased distance is the same.
So, we can equate the two expressions for time taken:
d / 50 = (d + 20) / 60
Let's solve this equation to find the value of 'd':
60d = 50(d + 20)
60d = 50d + 1000
60d - 50d = 1000
10d = 1000
d = 100
Therefore, the actual distance covered by the bus is 100 km. Hence, the correct answer is option 'A' - 100 km.
Given:
- Bus speed = 50 kmph
- Increased speed = 50 + 10 = 60 kmph
- Increased distance covered = actual distance covered + 20 km
We need to find the actual distance covered by the bus.
Let's calculate the time taken to cover the actual distance at a speed of 50 kmph.
- Time taken = Distance / Speed = d / 50
Now, let's calculate the time taken to cover the increased distance at a speed of 60 kmph.
- Time taken = (Distance + 20) / 60
According to the given information, the time taken to cover the actual distance and the increased distance is the same.
So, we can equate the two expressions for time taken:
d / 50 = (d + 20) / 60
Let's solve this equation to find the value of 'd':
60d = 50(d + 20)
60d = 50d + 1000
60d - 50d = 1000
10d = 1000
d = 100
Therefore, the actual distance covered by the bus is 100 km. Hence, the correct answer is option 'A' - 100 km.
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A bus runs at 50 kmph. If the speed is increased by 10 kmph, it will cover 20 km more in the same time. Find the actual distance covered?a)100 kmb)150 kmc)200 kmd)250 kmCorrect answer is option 'A'. Can you explain this answer?
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