Question

The van traveled 120 miles in 7 hours. How long would it take to travel 1400 miles at the same speed? (A) 5/3 hrs (B) 81 2/3 hrs (C) 49/6 hrs (D)24000 hr

Answer 1

Answer:

$81\frac{2}{3}$ hours

Step-by-step explanation:

Hi there!

1) Create a proportion

• The van traveled 120 miles in 7 hours
• The van travels 1400 miles in x hours

$\frac{7h}{120mi}=\frac{x}{1400 mi}$

$\frac{7}{120}=\frac{x}{1400}$

2) Solve for x

$\frac{7}{120}=\frac{x}{1400}$

Multiply both sides by 1400

$\frac{7}{120}*1400=\frac{x}{1400}*1400$

$\frac{245}{3} =x$

$\frac{245}{3} =x$

$81\frac{2}{3} =x$

Therefore, it would take the van $81\frac{2}{3}$ hours to travel 1400 miles at the same speed.

I hope this helps!