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Two cars started simultaneously toward each other from town A and B, that are 480 km apart. It took the first car travelling from A to B 8 hours to cover the distance and the second car travelling from B to A 12 hours. Determine at what distance from A the two cars meet.
  • a)
    288 km
  • b)
    200 km
  • c)
    300 km
  • d)
    196 km
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Two cars started simultaneously toward each other from town A and B, t...
The speed of the first car would be 60 kmph while the speed of the second car would be 40 kmph.
The relative speed of the two cars would be 100 kmph.
To cover 480 km they would take 480/100 = 4.8 hours → In 4.8 hours, the car traveling from A to B would have traveled 4.8 → 60 = 288 kms.
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Community Answer
Two cars started simultaneously toward each other from town A and B, t...
To determine at what distance from town A the two cars meet, we can use the formula:

Distance = Speed * Time

Let's assume the speed of the first car is x km/h and the speed of the second car is y km/h.

1. Calculation for the first car:
Distance covered by the first car = Speed * Time
480 km = x km/h * 8 hours
x = 480 km / 8 hours
x = 60 km/h

2. Calculation for the second car:
Distance covered by the second car = Speed * Time
480 km = y km/h * 12 hours
y = 480 km / 12 hours
y = 40 km/h

3. Determining the distance from town A where the two cars meet:
Let's assume the distance from town A where the two cars meet is d km.

The first car covers d km in (d/x) hours.
The second car covers (480 - d) km in (480 - d)/y hours.

Since they both start at the same time and meet each other, their total travel time should be equal:

(d/x) + (480 - d)/y = 8 + 12
d/y - d/x = 20

To simplify this equation, we can multiply both sides by xy:

xd - dy = 20xy

Now, we substitute the values of x and y:

60d - 40d = 20 * 60 * 40
20d = 48000
d = 2400/20
d = 240 km

Therefore, the two cars meet at a distance of 240 km from town A.

To determine the distance from town A, we subtract the distance where the two cars meet from the total distance:

480 km - 240 km = 240 km

Therefore, the correct answer is option A) 288 km.
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