Explanation:
Let the speed of the car is v miles/h , therefore the speed of truck is ( v - 5 ) miles per hour .
Because time = [tex]\frac{Distance}{Speed}[/tex]
Thus in case of truck the time t₁ = [tex]\frac{300}{v-5}[/tex]
In case of car the time t₂ = [tex]\frac{330}{v}[/tex]
But time is the same in both cases , therefore
[tex]\frac{300}{v-5}[/tex] = [tex]\frac{330}{v}[/tex]
or 30 v = 1650
or v = 55 miles per hour
Therefore speed of car is 55 miles per hour
Thus speed of truck is 50 miles per hour
