If the Shalimar Express train from A reaches B (210 km away) in 2 hours and 20 minutes, how much longer will it take to reach C , another 360 km farther?
To find out how much longer it will take to reach C, we first need to determine the train's average speed.
We're given that the train travels 210 km in 2 hours and 20 minutes. To convert this time to hours, we divide 20 minutes by 60 to get 20/60 = 1/3 hours. So the total time taken to travel from A to B is 2 + 1/3 = 7/3 hours.
To calculate the average speed, we divide the distance traveled (210 km) by the time taken (7/3 hours):
Speed = 210 km / (7/3) h = 90 km/h
Now, to find out how much longer it will take to reach C, which is 360 km farther, we divide the distance by the speed:
Time = 360 km / 90 km/h = 4 hours
Therefore, it will take an additional 4 hours to reach C.
To find out how much longer it will take to reach C (360 km farther) from B, we need to calculate the time it takes to travel 360 km.
Given that the Shalimar Express train takes 2 hours and 20 minutes to travel 210 km from A to B, we need to convert the time to minutes. There are 60 minutes in an hour, so:
2 hours = 2 * 60 = 120 minutes
Therefore, the total time taken to reach B is 120 minutes + 20 minutes = 140 minutes.
Now, we can calculate the time it will take to travel 360 km using the same rate of 210 km in 140 minutes.
First, calculate the rate at which the train travels:
Rate = Distance / Time
Rate = 210 km / 140 minutes = 1.5 km/minute
Now, calculate the time it will take to travel 360 km:
Time = Distance / Rate
Time = 360 km / 1.5 km/minute = 240 minutes
Therefore, it will take an additional 240 minutes (or 4 hours) to reach C, which is another 360 km farther from B.
To determine the time it will take for the Shalimar Express train to reach C, we need to first calculate its average speed.
We know that the train traveled from A to B, a distance of 210 km, in 2 hours and 20 minutes, which can be converted to 2.33 hours.
To find the average speed, we divide the distance traveled by the time taken:
Average speed = Distance / Time
Therefore, the average speed from A to B can be calculated as:
Average speed = 210 km / 2.33 hours ≈ 90.12 km/h
Now that we have the average speed, we can calculate the time it will take to travel from B to C, a distance of 360 km.
Time = Distance / Average speed
Time = 360 km / 90.12 km/h ≈ 3.99 hours
However, we need to convert the time to hours and minutes. The decimal part of 3.99 represents the fraction of an hour, which can be converted to minutes.
0.99 hours * 60 minutes/hour ≈ 59.4 minutes ≈ 59 minutes (rounded to the nearest minute)
So, to answer your question, it will take approximately 3 hours and 59 minutes (or 3:59) longer for the Shalimar Express train to reach C, another 360 km farther.