Darla and her friend penny left their office at the same time and began traveling down the same road in the same direction. Darla traveled at a speed of 65 mph while Penny drive at 70 mph. How many hours was it before Penny was 5 miles ahead of Darla?

Given : Darla and her friend penny left their office at the same time and began traveling down the same road in the same direction. Darla traveled at a speed of 65 mph while Penny drive at 70 mph.

To find : How many hours was it before Penny was 5 miles ahead of Darla?

Solution :

The formula used - [tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]

Darla traveled at a speed of 65 mph.

Penny drive at 70 mph.

Let x be the number of hours taken by both.

Distance covered by Darla is [tex]d_1= 65\times x=65x[/tex]

Distance covered by Penny is [tex]d_2= 70\times x=70x[/tex]

According to given statement; Penny was 5 miles ahead of Darla

i.e. [tex]d_2-d_1=5[/tex]

[tex]70x-65x=5[/tex]

[tex]5x=5[/tex]

[tex]x=\frac{5}{5}[/tex]

[tex]x=1[/tex]

The number of hours was it before Penny was 5 miles ahead of Darla is 1 hour.