Question

Pauline and jaden are racing towards each other. Pauline is is driving at 40 miles per hour and jaden is driving at 60 miles per hour. How long does it take them to reach each other if they are 250 miles apart

Answer 1

The Time taken by both of them to reach each other is 2.5 hours

Explanation:

Given as:

The Total distance between Pauline and Jaden = 250 miles

The speed of the Pauline =
`s_1` = 40 miles per hour

The speed of the Jaden =
`s_2` = 60 miles per hour

Let The Time taken to reach each other = T hour

Now, Let The distance cover by Pauline = x miles

And The distance cover by Jaden = ( 250 - x ) miles

Now, Distance = Speed × Time

For Pauline

The distance cover by Pauline = The speed of the Pauline × The Time taken to reach each other

Or, x miles = 40 miles per hour × T hour

Or, x = 40 T ...........1

For Jaden

The distance cover by Jaden = The speed of the Jaden × The Time taken to reach each other

Or, ( 250 - x ) miles = 60 miles per hour × T hour

Or, 250 - x = 60 T ...........2

Solving the equation

Putting the value of x from eq 1 into eq 2

I.e 250 - 40 T = 60 T

Or, 60 T + 40 T = 250

Or, 100 T = 250

∴ T =
`(250)/(100)`

I.e T = 2.5 hours

So, The Time taken by both of them to reach each other = T = 2.5 hours

Hence The Time taken by both of them to reach each other is 2.5 hours Answer

Answer 2

2.5 hours.

Explanation:

Pauline and Jaden are racing towards each other.

Pauline is driving at 40 miles per hour and Jaden is driving at 60 miles per hour.

Since they are moving towards each other so, the resultant speed will be (40 + 60) = 100 mph.

Therefore, they will cover their distance 250 miles from each other with this resultant speed of 100 mph.

Hence, the time they will take to reach each other is
`(250)/(100) = 2.5` hours. (Answer)