Distance = rate x time

d = rt

Bus

d = d

rate = r

time = 14 {bus took 14 hours}

d = 14r {distance = rate x time}

Car

d = d

rate = r + 30 {bus was 30 mph slower than car}

time = 8 {car took 8 hours}

d = 8(r + 30) {distance = rate x time}

14r = 8(r + 30) {set distances equal to each other, since they traveled the same distance}

14r = 8r + 240 {used distributive property}

6r = 240 {subtracted 8r from each side}

r = 40 {divided each side by 6}

d = 14r {distance equation for bus}

= 14(40) {substituted 40, in for r, into 14r}

= 560 {multiplied}

**distance was 560 miles***- Algebra House*
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