Question

Help solve problem Pedro travels 286 mi in 4 hr 24 min. At this rate, how far will Pedro travel in 5 hr 24 min?

Answer 1

We know that Pedro travels 286 miles in 4 hours and 24 minutes. We have to calculate how far he will travel in 5 hours and 24 minutes.

We can calculate the average speed by dividing the distance travelled by the time.

To do that, we first convert the time into hours:

`t_1=4h+24\min \cdot(1h)/(60\min)=4h+0.4h=4.4h`

Now, we calculate the average speed as:

`v=(D)/(t_1)=(286mi)/(4.4h)=65(mi)/(h)`

Now that we know the average speed, we can calculate the distance as the speed times the time.

We convert the time, 5 hours and 24 minutes, to hours:

`t_2=5h+24\min \cdot(1h)/(60\min)=5h+0.4h=5.4h`

We now calculate the distance as:

`D_2=v\cdot t_2=65(mi)/(h)\cdot5.4h=351mi`

Answer: he will travel 351 miles.