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The ratio of the speeds of a bus and a car is 7 ∶ 11. If the car covers a distance of 396 km in 6 hours, what is the speed of the bus in km/h?
  • a)
    38.5
  • b)
    42
  • c)
    45.5
  • d)
    35
  • e)
    None of the above / More than one of the above
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The ratio of the speeds of a bus and a car is 7 ∶ 11. If the car cove...
Given Data:
- Ratio of speeds of bus and car = 7:11
- Distance covered by car = 396 km
- Time taken by car = 6 hours

Calculations:
- Let the speed of the bus be 7x km/h and the speed of the car be 11x km/h.
- Given that the car covers a distance of 396 km in 6 hours, we can calculate the speed of the car as: Speed = Distance / Time
- Speed of the car = 396 km / 6 hours = 66 km/h

Using the ratio of speeds:
- Speed of car / Speed of bus = 11x / 7x = 66 / Speed of bus
- 11/7 = 66 / Speed of bus
- Speed of bus = 66 * 7 / 11 = 42 km/h
Therefore, the speed of the bus is 42 km/h. Hence, the correct answer is option B.
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Community Answer
The ratio of the speeds of a bus and a car is 7 ∶ 11. If the car cove...
Given
The ratio of the speeds of a bus and a car is 7 ∶ 11.
The car covers a distance of 396 km in 6 hours.
Concept used:
Time × Speed = Distance
Calculation:
Speed of the car = 396/6 = 66km/h
Let the common ratio be Q.
Now, the speed of the bus and car are 7Q and 11Q respectively.
According to the question,
11Q = 66
⇒ Q = 6
Now, the speed of the bus
⇒ 6 × 7
⇒ 42 km/h
∴ The speed of the bus is 42 km/h.
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The ratio of the speeds of a bus and a car is 7 ∶ 11. If the car covers a distance of 396 km in 6 hours, what is the speed of the bus in km/h?a)38.5b)42c)45.5d)35e)None of the above / More than one of the aboveCorrect answer is option 'B'. Can you explain this answer?
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