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A bus travels some distance at a speed of 12 km/hr and returns at a speed of 8 km/hr. If the total time taken by the bus is 20 hours, then what is the distance (in km)?
  • a)
    80
  • b)
    84
  • c)
    96
  • d)
    92
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A bus travels some distance at a speed of 12 km/hr and returns at a sp...
Speed = Distance/Time
Let the distance be ‘d’ km
Time taken while going = d/12
Time taken while returning = d/8
Total time taken = d/12 + d/8
d/12 + d/8 = 20
⇒ d = 96
Total distance = 96 km
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Most Upvoted Answer
A bus travels some distance at a speed of 12 km/hr and returns at a sp...
Given data:
- Speed of the bus while going = 12 km/hr
- Speed of the bus while returning = 8 km/hr
- Total time taken = 20 hours

Let's assume:
- Distance traveled = D km
- Time taken to go = x hours
- Time taken to return = y hours

Calculations:
- x = D/12 (Time = Distance/Speed)
- y = D/8
Since the total time taken is 20 hours,
x + y = 20
D/12 + D/8 = 20
(2D + 3D)/24 = 20
5D = 480
D = 96 km
Therefore, the distance traveled by the bus is 96 km, which corresponds to option 'c'.
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A bus travels some distance at a speed of 12 km/hr and returns at a speed of 8 km/hr. If the total time taken by the busis 20 hours, then what is the distance (in km)?a)80b)84c)96d)92Correct answer is option 'C'. Can you explain this answer?
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