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

`81(2)/(3)` hours

Explanation:

Hi there!

1) Create a proportion

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

`(7h)/(120mi)=(x)/(1400 mi)`

`(7)/(120)=(x)/(1400)`

2) Solve for x

`(7)/(120)=(x)/(1400)`

Multiply both sides by 1400

`(7)/(120)*1400=(x)/(1400)*1400`

`(245)/(3) =x`

`(245)/(3) =x`

`81(2)/(3) =x`

Therefore, it would take the van
`81(2)/(3)` hours to travel 1400 miles at the same speed.

I hope this helps!