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# help

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Truck #1 and Truck #2 left from the same location at the same time, driving in opposite directions. If Truck #1 traveled at 70 mph and Truck #2 at 65 mph, how many hours was it before they were 1,755 miles apart?

Jan 22, 2020

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Truck #1 and Truck #2 left from the same location at the same time, driving in opposite directions.
If Truck #1 traveled at 70 mph and Truck #2 at 65 mph, how many hours was it before they were 1,755 miles apart?

Formula: $$s=v*t$$

$$\begin{array}{|lrcll|} \hline \text{Truck}_1: & s_1 &=& v_1 *t & v_1 = 70~mph \\ & s_1 &=& 70 *t \\\\ \text{Truck}_2: & s_2 &=& v_2 *t & v_2 = 65~mph \\ & s_2 &=& 65 *t \\ \hline \end{array}$$

$$\begin{array}{|rcll|} \hline s_1+s_2 &=& 1755~ miles \\ 70 *t+65 *t &=& 1755 \\ 135 *t &=& 1755 \quad | \quad : 135 \\ \mathbf{ t } &=& \mathbf{13~h} \\ \hline \end{array}$$

Jan 22, 2020