A bus and a car leave from the same city traveling in opposite directions. The bus leaves 2 hours before the car does. The bus travels at a steady speed of 50 mph while the car travels at 70 mph. After how many hours will the bus and car be 800 miles apart?

If h represents the number of hours the bus travels, then which of the following expressions represents the number of miles the car travels?

H=number of hours the bus travels

(h-2) = number of hours the car travels

speed=distance/time ⇒distance=speed x time

If h represent the number of hours the bus travels, the number of miles the car travels will be:

distance=speed x time

dа ta:

speed=70 mph

time = (h-2)

Distance : 70 (h-2)

Answer ₂ = the following expressions represents the number of miles the car travels: 70 (h-2) or (70h-140)

We can suggest the following equation if we want to find out the number of hours spent, when the bus and car are 800 miles apart.

50h+70 (h-2) = 800

50h+70h-140=800

120h=800+140

120h=940

h = 940/120

h=7.833 ... ≈7.83

Answer: 7.83 hours after the bus left the city, the car and the bus will be 800 miles apart.