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The speed of a bus with just the driver sitting in it is 60 Kmph. The decrease in speed is directly proportional to the number of people sitting in it. With 9 passengers and a driver, its speed is 54 Kmph. What is maximum number of passengers it can carry?
  • a)
    89
  • b)
    90
  • c)
    91
  • d)
    92
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The speed of a bus with just the driver sitting in it is 60 Kmph. The...
Given information:
- Speed of the bus with just the driver = 60 km/h
- Speed decreases directly proportional to the number of people sitting in it
- Speed with 9 passengers and a driver = 54 km/h

Let's assume the maximum number of passengers the bus can carry is 'x'.

We can set up a proportion to solve this problem:

(speed with just the driver) / (number of people sitting) = (speed with 9 passengers and a driver) / (number of people sitting + 9)

Applying this proportion to the given information:

60 / 1 = 54 / (9 + 9)

Simplifying the equation:

60 = 54 / 18

Cross-multiplying:

60 * 18 = 54

1080 = 54

So, we can conclude that the equation is not balanced. Hence, the maximum number of passengers the bus can carry is less than 'x'.

We need to find a value of x for which the equation is balanced. Let's assume the maximum number of passengers the bus can carry is 'n'.

60 / 1 = 54 / (n + 9)

Cross-multiplying:

60 * (n + 9) = 54 * 1

60n + 540 = 54

60n = 54 - 540

60n = -486

n = -486 / 60

n = -8.1

Since the number of passengers cannot be negative, we can conclude that the maximum number of passengers the bus can carry is less than 8.1.

Hence, the maximum number of passengers the bus can carry is 8.

As the number of passengers increases, the speed of the bus decreases. Therefore, the maximum number of passengers it can carry is fewer than 8.
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Community Answer
The speed of a bus with just the driver sitting in it is 60 Kmph. The...
Let a be the speed with no passengers. Let t be the reduction in speed with each person.
Hence, a - t = 60 and a - 10t = 54.
Hence, 9t = 6.
So the bus decelerates by 6/9 kmph per passenger. Hence, with 90 passengers the bus will come to a stand-still.
Max number of passengers = 90 - 1 = 89.
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The speed of a bus with just the driver sitting in it is 60 Kmph. The decrease in speed is directly proportional to the number of people sitting in it. With 9 passengers and a driver, its speed is 54 Kmph. What is maximum number of passengers it can carry?a)89b)90c)91d)92Correct answer is option 'A'. Can you explain this answer?
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