00:01
In this problem, the walking speed of each man is considered to be equivalent to b feet per second while the driving speed of each man is considered to be equivalent to w feet per second.
00:33
There are three people.
00:36
First let us consider alex.
00:38
Alex left for work around 9 .18 pm.
00:47
So we are given that he left for work around 9 .18 pm.
00:52
He walked to a distance.
00:54
So he walked to a distance of 1000 feet to the car.
01:03
So he walked a distance to his car for approximately 1000 feet while he drove approximately a distance equivalent to 16 miles.
01:15
So he drove 16 miles to his, he reached around 9 .14 pm.
01:31
So we need to create this entire thing in an equation.
01:36
There is another thing which is told to us that the time taken is between 9 .18 pm to 9 .14 pm.
01:49
So we need to calculate for this time what will be the equation.
01:53
So first let us convert 16 miles into feet.
01:58
Now we know that 1 mile is equivalent to 5280 feet.
02:06
So 16 miles in order to be converted to feet we will multiply 16 with 5280.
02:16
So the value that we obtain is 84480 feet.
02:24
Now we can say that time taken by alex to reach his car can be given by the ratio or distance upon speed which is 1000 feet.
02:54
Now time taken by alex to reach his phone we could give this as equal to t2 is equivalent to 84480 divided by w.
03:18
Now we could say that the total time taken by alex to reach home at work location is equivalent to 22 minutes.
03:39
Let us convert this 22 minutes into seconds.
03:44
We have to multiply it with 16.
03:47
Hence we obtain 1320 seconds.
03:51
Therefore we could write t1 plus t2 is equivalent to 1320...