Two boys,John and Jackson are running at different speeds of 30 km/hr and 18 km/hr and in opposite directions are 10 km apart.If they both start running at exactly 11:50 pm,at what time will John pass Jackson?Anyone to help
their combined rate of approach is 48 km/hr
So, how long does it take to cover 10 km at that rate?
Add that many minutes to 11:50 pm
Why are they running at midnight???
I need answer
To determine at what time John will pass Jackson, we need to calculate how long it will take for John to cover the 10 km distance.
First, we need to find out the relative speed at which John is approaching Jackson. Since they are running in opposite directions, their speeds need to be added together.
Relative speed = John's speed + Jackson's speed
Relative speed = 30 km/hr + 18 km/hr
Relative speed = 48 km/hr
Now we can calculate the time it will take for John to cover the 10 km distance using the formula:
Time = Distance / Speed
Time = 10 km / 48 km/hr
To calculate the time in hours, we divide 10 km by 48 km/hr:
Time = 0.2083 hours
Since there are 60 minutes in an hour, we can convert the fractional part of the time to minutes by multiplying it by 60:
Minutes = 0.2083 hours * 60 minutes/hr
Minutes = 12.5 minutes
Now, we need to calculate the time it takes for John to cover 12.5 minutes from the starting time of 11:50 pm.
Adding the minutes to 50 minutes:
50 minutes + 12.5 minutes = 62.5 minutes
However, since there are 60 minutes in an hour, we need to subtract 60 minutes to account for the additional hour:
62.5 minutes - 60 minutes = 2.5 minutes
This means that John will pass Jackson 2.5 minutes after midnight. So, John will pass Jackson at 12:02:30 am.