Respuesta :
Traveling 280 miles in 3.5 hours is faster than traveling 75 miles in 1 hour
Solution:
Given that, we have to find which is traveling faster traveling 75 miles in 1 hour or traveling 280 miles in 3.5
The distance traveled is given as:
[tex]\text { distance travelled }=\text { speed } \times \text { time taken }[/tex]
Case 1: Traveling 75 miles in one hour
Here distance = 75 miles and time = 1 hour
[tex]\begin{array}{l}{\rightarrow 75 \text { miles }=\text { speed } \times 1 \text { hours }} \\\\ {\rightarrow \text { speed }=\frac{75}{1} \text { miles per hour }} \\\\ {\rightarrow \text { speed }=75 \text { miles per hour }}\end{array}[/tex]
Case 2: Traveling 280 miles in 3.5 hours
Here distance = 280 miles and time = 3.5 hours
[tex]\begin{array}{l}{\rightarrow 280 \text { miles }=\text { speed } \times 3.5 \text { hours }} \\\\ {\rightarrow \text { speed }=\frac{280}{3.5} \text { miles per hour }} \\\\ {\rightarrow \text { speed }=80 \text { miles per hour }}\end{array}[/tex]
Now by comparing speed of case 1 and case 2, we get 80 > 70
Hence, traveling 280 miles in 3.5 hours is faster than traveling 75 miles in 1 hour.
