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A car travels some distance at a speed of 8 km/hr and returns at a speed of 12 km/hr. If the total time taken by the car is 15 hours, then what is the distance (in km)?
- a)48
- b)60
- c)56
- d)72
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A car travels some distance at a speed of 8 km/hr and returns at a spe...
Let the distance be d km.
We know that,
Distance = Speed x Time
⇒ d = 72 km
Most Upvoted Answer
A car travels some distance at a speed of 8 km/hr and returns at a spe...
Let the distance be d km.
We know that,
Distance = Speed x Time
⇒ d = 72 km
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Community Answer
A car travels some distance at a speed of 8 km/hr and returns at a spe...
To solve this problem, we can use the formula:
time = distance / speed
Let's assume the distance traveled by the car is 'd' km.
1. Time taken to travel the distance at a speed of 8 km/hr:
time1 = d / 8
2. Time taken to return the same distance at a speed of 12 km/hr:
time2 = d / 12
According to the given information, the total time taken by the car is 15 hours.
So, we can write the equation:
time1 + time2 = 15
Substituting the values of time1 and time2:
d/8 + d/12 = 15
To solve this equation, we can find the least common multiple (LCM) of 8 and 12, which is 24.
Multiplying the equation by 24 to eliminate the denominators:
3d + 2d = 15 * 24
5d = 360
Dividing both sides of the equation by 5:
d = 360 / 5
d = 72 km
Therefore, the distance traveled by the car is 72 km.
Hence, the correct answer is option D.
time = distance / speed
Let's assume the distance traveled by the car is 'd' km.
1. Time taken to travel the distance at a speed of 8 km/hr:
time1 = d / 8
2. Time taken to return the same distance at a speed of 12 km/hr:
time2 = d / 12
According to the given information, the total time taken by the car is 15 hours.
So, we can write the equation:
time1 + time2 = 15
Substituting the values of time1 and time2:
d/8 + d/12 = 15
To solve this equation, we can find the least common multiple (LCM) of 8 and 12, which is 24.
Multiplying the equation by 24 to eliminate the denominators:
3d + 2d = 15 * 24
5d = 360
Dividing both sides of the equation by 5:
d = 360 / 5
d = 72 km
Therefore, the distance traveled by the car is 72 km.
Hence, the correct answer is option D.
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