Question

Which is traveling faster traveling 75 miles in 1 hour or traveling 280 miles in 3.5

Answer 1

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:

`\text { distance travelled }=\text { speed } * \text { time taken }`

Case 1: Traveling 75 miles in one hour

Here distance = 75 miles and time = 1 hour

`\begin{array}{l}{\rightarrow 75 \text { miles }=\text { speed } * 1 \text { hours }} \\\\ {\rightarrow \text { speed }=(75)/(1) \text { miles per hour }} \\\\ {\rightarrow \text { speed }=75 \text { miles per hour }}\end{array}`

Case 2: Traveling 280 miles in 3.5 hours

Here distance = 280 miles and time = 3.5 hours

`\begin{array}{l}{\rightarrow 280 \text { miles }=\text { speed } * 3.5 \text { hours }} \\\\ {\rightarrow \text { speed }=(280)/(3.5) \text { miles per hour }} \\\\ {\rightarrow \text { speed }=80 \text { miles per hour }}\end{array}`

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.