Question

A​ "bullet" train set a new world record for train speed at 550 kilometers per hour during a manned test run on the Test Line in April 1999. The Test Line is 42.2 kilometers long. How many minutes would a test run on the Test Line last at this​ record-setting speed?

Answer 1

The test run would last 4 minutes 36.21818 seconds at a speed of 550 kilometers per hour

Explanation:

Step 1; First we calculate the number of kilometers it can cross a minute. To do that we divide the 550 kilometers per hour by 60 so we can convert it into kilometers per minute

Kilometers per minute= 550/60 = 9.16666 kilometers per minute.

So the train covers a distance of 9.16666 kilometers every minute it is at a speed of 550 kilometers per hour.

Step 2; We calculate how much time it takes to cover a distance of 42.2 kilometers at a speed of 9.16666 kilometers per minute. To do this we divide the 42.2 kilometers distance by the speed it covers every minute i.e. 9.16666 kilometers a minute.

Time taken to cover 42.2 kilometers= 42.2/9.16666= 4.60363 minutes

Step 3; To convert this into seconds we multiply the 4.60363 with 60 as a minute consists of 60 seconds/

Time taken in seconds= 4.60363 * 60= 276.21818 which is equal to 4 minutes and 36.21818 seconds.