Respuesta :
Answer:
2.5 hours.
Step-by-step 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 [tex]\frac{250}{100} = 2.5[/tex] hours. (Answer)
Answer:
The Time taken by both of them to reach each other is 2.5 hours
Step-by-step explanation:
Given as:
The Total distance between Pauline and Jaden = 250 miles
The speed of the Pauline = [tex]s_1[/tex] = 40 miles per hour
The speed of the Jaden = [tex]s_2[/tex] = 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 = [tex]\frac{250}{100}[/tex]
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
