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A journey by bus takes 45 minutes at 40 km/hour. How fast must a car go to undertake the same journey in 25 minutes?

  • a)
    36 km/h

  • b)
    48 km/h

  • c)
    72 km/h

  • d)
    None of these

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A journey by bus takes 45 minutes at 40 km/hour. How fast must a car g...
45 minutes = 45/60 hour = 3/4 hour
25 minutes = 25/60 hour = 5/12 hour
distance = speed x time
as distance travel is same
40x3/4=ax5/12
solve it and you will get a=72 km/h
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Most Upvoted Answer
A journey by bus takes 45 minutes at 40 km/hour. How fast must a car g...
Speed, Distance, and Time

The formula for calculating speed, distance, and time is:

Speed = Distance/Time
Distance = Speed x Time
Time = Distance/Speed

Given: A journey by bus takes 45 minutes at 40 km/hour.

Distance covered by the bus = Speed x Time
Distance covered by the bus = 40 km/hour x (45/60) hour
Distance covered by the bus = 30 km

To find: How fast must a car go to undertake the same journey in 25 minutes?

Let the speed of the car be x km/hour.

Distance covered by the car = Speed x Time
Distance covered by the car = x km/hour x (25/60) hour
Distance covered by the car = (5/12) x

As both the bus and the car cover the same distance, we can equate the distances covered by them.

30 = (5/12) x
x = (30 x 12)/5
x = 72 km/hour

Therefore, the car must travel at a speed of 72 km/hour to undertake the same journey in 25 minutes. Hence, option C is the correct answer.
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Community Answer
A journey by bus takes 45 minutes at 40 km/hour. How fast must a car g...
72km/h
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