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A train runs at the speed of 72 km per hour. The distance between any two stations is 42 km and the train stops at each stations for 5 minutes. Then the time taken by train to go 350 km is—
  • a)
    6 h 31 m 40 s
  • b)
    5 h 31 m
  • c)
    5 h 31 m 40 s
  • d)
    5 h 30 m 40 s
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A train runs at the speed of 72 km per hour. The distance between any ...
∵ Train covers 72 km in
= 60 minute
∴ Train covers 42 km in 60/72 × 42
= 35 minute
But the train stop for 5 minute at each station after covering 42 km.
It means the train runs the 42 km in 35 + 5
= 40 minute
To cover the distance 350 km the train will take time 5 hour 31 minute 40 second.
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Most Upvoted Answer
A train runs at the speed of 72 km per hour. The distance between any ...
To calculate the time taken by the train to go 350 km, we need to consider two factors: the time taken to travel the distance between the stations and the time spent at each station.

The time taken to travel the distance between two stations is given by the formula: time = distance / speed.

For each station, the train stops for 5 minutes. Since there are multiple stations between the start and the destination, we need to consider the time spent at each station.

The time taken by the train to travel 350 km can be calculated as follows:

Time taken to travel 350 km between stations = (350 km / 72 km/h) + (number of stations * 5 minutes per station)

Now, let's calculate the number of stations between the start and the destination:

Number of stations = (350 km / 42 km) - 1 (subtracting 1 as the train reaches the destination station)

Number of stations = 8

Now, let's substitute the values into the equation:

Time taken to travel 350 km = (350 km / 72 km/h) + (8 stations * 5 minutes per station)

Time taken to travel 350 km = 4.8611 hours + (8 * 5 minutes)

Converting the minutes to hours: (8 * 5 minutes) / 60 minutes/hour = 40/60 = 0.6667 hours

Time taken to travel 350 km = 4.8611 hours + 0.6667 hours

Time taken to travel 350 km = 5.5278 hours

Therefore, the time taken by the train to go 350 km is approximately 5.53 hours.
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