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A car starts from a place with a speed of 30 km/h. After 3 hours, another car starts in the same direction with a speed of 60 km/h, After how many hours will the second car overtake the first car?
- a)2 hrs
- b)3 hrs
- c)4 hrs
- d)5 hrs
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A car starts from a place with a speed of30km/h. After3hours, another ...
Given:
Speed of first car = 30 km/hr
speed of another car = 60 km/hr
Concept:
Objects moving in the same direction = Difference of Speeds
Formula:
Distance = Speed × Time
Time = Distance/Speed
Calculation:
Distance travelled by first car in 3 hours
Distance = 30×3 = 90 km
According to the question:
Time take to overtake first car by another car = 90(60-30)
⇒ 90/30 = 3 hours
∴ Time take to overtake first car by another car is 3 hrs.
Speed of first car = 30 km/hr
speed of another car = 60 km/hr
Concept:
Objects moving in the same direction = Difference of Speeds
Formula:
Distance = Speed × Time
Time = Distance/Speed
Calculation:
Distance travelled by first car in 3 hours
Distance = 30×3 = 90 km
According to the question:
Time take to overtake first car by another car = 90(60-30)
⇒ 90/30 = 3 hours
∴ Time take to overtake first car by another car is 3 hrs.
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Community Answer
A car starts from a place with a speed of30km/h. After3hours, another ...
The first step is to determine the distance covered by the first car in 3 hours. We can use the formula:
Distance = Speed * Time
So, the distance covered by the first car in 3 hours is:
Distance1 = 30 km/h * 3 hours = 90 km
Now, let's determine the time it takes for the second car to overtake the first car.
The relative speed of the second car with respect to the first car is the difference between their speeds:
Relative Speed = Speed2 - Speed1 = 60 km/h - 30 km/h = 30 km/h
To overtake the first car, the second car needs to cover the same distance as the first car.
So, the time it takes for the second car to overtake the first car is:
Time = Distance1 / Relative Speed = 90 km / 30 km/h = 3 hours
Therefore, the second car will overtake the first car after 3 hours.
Hence, the correct answer is option 'B' - 3 hrs.
Distance = Speed * Time
So, the distance covered by the first car in 3 hours is:
Distance1 = 30 km/h * 3 hours = 90 km
Now, let's determine the time it takes for the second car to overtake the first car.
The relative speed of the second car with respect to the first car is the difference between their speeds:
Relative Speed = Speed2 - Speed1 = 60 km/h - 30 km/h = 30 km/h
To overtake the first car, the second car needs to cover the same distance as the first car.
So, the time it takes for the second car to overtake the first car is:
Time = Distance1 / Relative Speed = 90 km / 30 km/h = 3 hours
Therefore, the second car will overtake the first car after 3 hours.
Hence, the correct answer is option 'B' - 3 hrs.
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