A motorcycle travels north along
road at constant speed of 45 mph. At
2pm, a truck is 348 miles away
driving south along the same road
at constant speed. They pass each other
at 6pm. What is the speed of the
truck ?

Respuesta :

frika

Answer:

42 mph

Step-by-step explanation:

From 2 p.m. to 6 p.m. 4 hours passed, so the truck and the motorcycle were on the road for 4 hours until they met.

Motorcycle in 4 hours at a constant speed of 45 mph travelled

[tex]45\cdot 4=180\ miles[/tex]

The distance between the motorcycle and the truck is 348 miles, so the truck travelled

[tex]348 -180=168\ miles[/tex]

If x mph is truck's speed, then

[tex]168=4\cdot x\\ \\x=\dfrac{168}{4}=42\ mph[/tex]