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Dora drove east at a constant rate of 75 kph. One hour later, Tim started driving on the same road at a constant rate of 90 kph. For how long was Tim driving, before he caught up to Dora? I have tried to use a table i set it up like this Name|D(mi)|R(kph)|T(hr.)| Dora | d |75 |t | Tim |d |90 |t+1 | and then I went and i tried to put it into an equation 75t=90(t+2) 75t=90t+180 -90t -90t -15t=180 ____ ____ -15 -15 t=-12 but It is not an answer on my multiple choice and it wouldn't be a negative 12 hours
Ok so let T=time from when Tim starts Distance Tim travels= T*90 Distance Dora travels=T*75 + 75 (<as already started) for him to have caught up His distance must equal hers so: 90T=75T + 75 (now minus 75T) 15T=75 (now divide by 15) T=5 :) So five hourse, hope this helped :)
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