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A car covers a certain distance in 20 minutes, if the speed the car is reduced by 15km/hr then the same distance is covered by 22.5minutes, then find the distance covered by the car.
- a)45km
- b)90km
- c)22.5km
- d)75km
- e)180km
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A car covers a certain distance in 20 minutes, if the speed the car i...
Given information:
- The car covers a certain distance in 20 minutes.
- If the speed of the car is reduced by 15 km/hr, then the same distance is covered in 22.5 minutes.
To find: The distance covered by the car.
Assumptions:
- The speed of the car is constant throughout the entire journey.
- The reduction in speed is a constant factor applied to the original speed.
Solution:
Let's assume the original speed of the car is 'S' km/hr.
Step 1: Calculate the original speed:
- The car covers a certain distance in 20 minutes, which is equal to 1/3 hour (20/60 = 1/3).
- Therefore, the original speed can be calculated using the formula: Distance = Speed × Time.
- Distance = S × (1/3).
- Let's call this Equation 1.
Step 2: Calculate the reduced speed:
- The reduced speed is 15 km/hr less than the original speed. Therefore, the reduced speed is S - 15 km/hr.
Step 3: Calculate the distance covered with the reduced speed:
- The car covers the same distance in 22.5 minutes, which is equal to 3/8 hour (22.5/60 = 3/8).
- Therefore, the distance covered with the reduced speed can be calculated using the formula: Distance = Speed × Time.
- Distance = (S - 15) × (3/8).
- Let's call this Equation 2.
Step 4: Equate Equations 1 and 2:
- Since the distance covered is the same in both cases, we can equate Equation 1 and Equation 2.
- S × (1/3) = (S - 15) × (3/8).
- Solving this equation will give us the value of S, which is the original speed of the car.
Step 5: Calculate the distance covered:
- Once we have the original speed, we can substitute it back into Equation 1 to calculate the distance covered.
- Distance = S × (1/3).
Step 6: Substitute the given values:
- The answer is option 'A' which states that the distance covered is 45 km.
- We can substitute the given values of distance and time into Equation 1 to verify if it matches.
- Distance = 45 km, Time = 1/3 hour.
- Therefore, 45 = S × (1/3).
- Solving this equation will give us the value of S, which should be equal to the original speed.
Conclusion:
- The distance covered by the car is 45 km.
- The car covers a certain distance in 20 minutes.
- If the speed of the car is reduced by 15 km/hr, then the same distance is covered in 22.5 minutes.
To find: The distance covered by the car.
Assumptions:
- The speed of the car is constant throughout the entire journey.
- The reduction in speed is a constant factor applied to the original speed.
Solution:
Let's assume the original speed of the car is 'S' km/hr.
Step 1: Calculate the original speed:
- The car covers a certain distance in 20 minutes, which is equal to 1/3 hour (20/60 = 1/3).
- Therefore, the original speed can be calculated using the formula: Distance = Speed × Time.
- Distance = S × (1/3).
- Let's call this Equation 1.
Step 2: Calculate the reduced speed:
- The reduced speed is 15 km/hr less than the original speed. Therefore, the reduced speed is S - 15 km/hr.
Step 3: Calculate the distance covered with the reduced speed:
- The car covers the same distance in 22.5 minutes, which is equal to 3/8 hour (22.5/60 = 3/8).
- Therefore, the distance covered with the reduced speed can be calculated using the formula: Distance = Speed × Time.
- Distance = (S - 15) × (3/8).
- Let's call this Equation 2.
Step 4: Equate Equations 1 and 2:
- Since the distance covered is the same in both cases, we can equate Equation 1 and Equation 2.
- S × (1/3) = (S - 15) × (3/8).
- Solving this equation will give us the value of S, which is the original speed of the car.
Step 5: Calculate the distance covered:
- Once we have the original speed, we can substitute it back into Equation 1 to calculate the distance covered.
- Distance = S × (1/3).
Step 6: Substitute the given values:
- The answer is option 'A' which states that the distance covered is 45 km.
- We can substitute the given values of distance and time into Equation 1 to verify if it matches.
- Distance = 45 km, Time = 1/3 hour.
- Therefore, 45 = S × (1/3).
- Solving this equation will give us the value of S, which should be equal to the original speed.
Conclusion:
- The distance covered by the car is 45 km.
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Community Answer
A car covers a certain distance in 20 minutes, if the speed the car i...
Let distance to be covered is ‘x’ km
Speed of the car = x/20 × 60 = 3x
3x - 15 = x/22.5 × 60
x = 45km
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