SOLUTION: a truck and van leave the same location traveling in opposite directions, the trucks speed is 52 mph the vans speed is 63 mph. when will the truck and van be 460 miles apart

Question 988934: a truck and van leave the same location traveling in opposite directions, the trucks speed is 52 mph the vans speed is 63 mph. when will the truck and van be 460 miles apart
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
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.

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