Answer: [tex]30, 35\ mph[/tex]
Step-by-step explanation:
Given
Truck can travel 150 miles while car can travel 175 miles in same time
If the speed of truck is 5 mph slower than the car
Suppose the speed of car is [tex]x\ mph[/tex], speed of truck would be [tex]x-5[/tex]
For same time
[tex]\Rightarrow \dfrac{150}{x-5}=\dfrac{175}{x}\\\\\Rightarrow 6x=7(x-5)\\\Rightarrow 6x=7x-35\\\Rightarrow x=35\ mph[/tex]
Speed of truck is [tex]x-5=30\ mph[/tex]
Speed of car [tex]x=35\ mph[/tex]
