Jaquan passed a checkpoint jogging at a constant speed of 9(km)/(h). Then, 2 minutes later, Odalis passed the same checkpoint. If Odalis runs at a constant speed of 12(km)/(h), then how far past the checkpoint will Odalis be when they catch up to Jaquan? ◻km

Calculate Speed Difference: Jaquan's speed is 9 km/h and Odalis's speed is 12 km/h. The difference in their speeds is 12 km/h - 9 km/h = 3 km/h.Convert Time to Hours: Odalis starts 2 minutes after Jaquan. Convert 2 minutes to hours to match the speed units. 2 minutes = 2/60 hours = 1/30 hours.Calculate Jaquan's Distance: In 1/30 hours, Jaquan will have covered a distance of 9 km/h * 1/30 hours = 9/30 km = 0.3 km.Calculate Time to Catch Up: Now, calculate the time it takes for Odalis to catch up to Jaquan. Since Odalis is running 3 km/h faster, the time to catch up is the distance Jaquan covered divided by the speed difference. Time = 0.3 km / 3 km/h = 0.1 hours.Calculate Odalis's Distance: Calculate the distance Odalis covers in 0.1 hours at a speed of 12 km/h. Distance = Speed * Time = 12 km/h * 0.1 hours = 1.2 km.

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Jaquan passed a checkpoint jogging at a constant speed of 9(km)/(h). Then, 2 minutes later, Odalis passed the same checkpoint.
If Odalis runs at a constant speed of 12(km)/(h), then how far past the checkpoint will Odalis be when they catch up to Jaquan?

◻km

Jaquan passed a checkpoint jogging at a constant speed of $9$ $\frac{\text{km}}{\text{h}}$ . Then, $2$ minutes later, Odalis passed the same checkpoint. $\newline$ If Odalis runs at a constant speed of $12$ $\frac{\text{km}}{\text{h}}$ then how far past the checkpoint will Odalis be when they catch up to Jaquan? $\newline$ $\square \,\text{km}$

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Q. Jaquan passed a checkpoint jogging at a constant speed of

9

\frac{\text{km}}{\text{h}}

. Then,

2

minutes later, Odalis passed the same checkpoint.

\newline

If Odalis runs at a constant speed of

12

\frac{\text{km}}{\text{h}}

then how far past the checkpoint will Odalis be when they catch up to Jaquan?

\newline

\square \,\text{km}

Calculate Speed Difference: Jaquan's speed is $9\,\text{km/h}$ and Odalis's speed is $12\,\text{km/h}$ . The difference in their speeds is $12\,\text{km/h} - 9\,\text{km/h} = 3\,\text{km/h}$ .
Convert Time to Hours: Odalis starts $2$ minutes after Jaquan. Convert $2$ minutes to hours to match the speed units. $2$ minutes = $\frac{2}{60}$ hours = $\frac{1}{30}$ hours.
Calculate Jaquan's Distance: In $\frac{1}{30}$ hours, Jaquan will have covered a distance of $9 \, \text{km/h} \times \frac{1}{30} \, \text{hours} = \frac{9}{30} \, \text{km} = 0.3 \, \text{km}.$
Calculate Time to Catch Up: Now, calculate the time it takes for Odalis to catch up to Jaquan. Since Odalis is running $3 \, \text{km/h}$ faster, the time to catch up is the distance Jaquan covered divided by the speed difference. Time = $\frac{0.3 \, \text{km}}{3 \, \text{km/h}} = 0.1 \, \text{hours}$ .
Calculate Odalis's Distance: Calculate the distance Odalis covers in $0.1$ hours at a speed of $12$ km/h. Distance = Speed $\times$ Time = $12$ km/h $\times$ $0.1$ hours = $1.2$ km.