A father and a son are preparing for a jog on the beach. They both leave from the same lifeguard station and begin running in opposite
directions. The son runs at a speed of 8.1 mph, and the father at 6.3 mph.
How many hours will have elapsed when the father and his son are 20.16 miles apart?​

Respuesta :

Answer:

1.4 hours have elapsed when the father and his son are 20.16 miles apart

Step-by-step explanation:

The son runs at a speed of 8.1 mph.

The father runs at a speed of 6.3 mph.

They run in opposite directions, so per hour, their distance increases at the rate of 8.1 + 6.3 = 14.4 mph.

How many hours will have elapsed when the father and his son are 20.16 miles apart?​

Rule of 3.

1 h - 14.4 miles

x h - 20.16 miles

[tex]14.4x = 20.16[/tex]

[tex]x = \frac{20.16}{14.4}[/tex]

[tex]x = 1.4[/tex]

1.4 hours have elapsed when the father and his son are 20.16 miles apart