Question 988934
Distance = rate x time


Truck
d = rt
r is 52 {given}
t is time  {left at same time as van}
d = 52t {substituted rate and time into distance formula}


Van
d = rt
r is 63 {given}
t is time {left at same time as truck}
d = 63t {substituted rate and time into distance formula}


When they will be 460 miles apart, their distances will add up to 460.


52t + 63t = 460 {added truck distance and van distance and set equal to 460}
115t = 460 {combined like terms}
t = 4 {divided each side by 115}


In 4 hours, they will be 460 miles apart.
<br>For more help from me, visit: <a href = "http://www.algebrahouse.com/" target = "_blank">www.algebrahouse.com</a><br><br><br>