The caravans

At 6:00 in the morning, a caravan set out of the oasis at a speed of 1.5 miles per hour. Two hours later, a second caravan followed her at 2.5 miles per hour. When did the faster caravan run slower? How far from the oasis?

Result

t₂ = 11:00 hh:mm
s =  7.5 mil

Step-by-step explanation:

$$\begin{gathered} v_1=1.5\text{mil/h} \\ {t}_1=6.00 \\ {v}_2=2.5\text{mil/h} \\ T=2\text{h} \\ s=s_1=s_2 \\ {v}_1\cdot t=v_2\cdot (t-T) \\ 1.5\cdot t=2.5\cdot (t-2) \\ t=5 \\ t=\frac{5}{1}=5 \\ t=5 \\ {t}_2=t+t_1=5+6=11=11:00\text{hh}:\text{mm} \end{gathered}$$

$s=v_1\cdot t=1.5\cdot 5=7.5\text{mil}$

Try another example