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Q.

It takes 2hrs for a train to cover a distance of 150 km . How much time will it take to cover a distance of 450 km if it travels with the same speed?

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a

4

b

6

c

15

d

3

answer is B.

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Detailed Solution

Concept: The distance traveled is exactly proportional to the amount of hours. As a result, the ratio of the first number of hours to the distance covered is the same as the ratio of the second number of hours to the distance covered. The time taken by the train to travel the 450 kilometer will then be given.
In light of the fact that it took the train 2 hours to travel 150 kilometer
Given that 150 kilometers traveled in 2 hours.
Given the time spent traveling, 450 kilometers was covered.
Finding the time it took the train to travel the 450 km trip is the primary goal of our problem.
One thing we do know is that time always relates to distance traveled. As a result, the train is going at the same speed as determined by the following formula:
speed=

\frac{distance}{time}

Speed =

\frac{150}{2}

Speed = 75 km/h when the distance and time variables are substituted in the calculation above.
Given that both distances have the same speed,
speed=

\frac{distance}{time}

When we replace the speed and distance in the previous expression, we obtain,
75=

\frac{450}{t}

The following equation can be simplified and rearranged to provide the result t=

\frac{450}{75}

=6 hours.
6 hours are needed for the train to travel the 450 kilometer route.
Hence, the correct option is 2) 6
ExamType: CBSE

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