Question

In the equation 35t + 70(7-t)=385 the variable t represents the number of hours you drive at 35 miles per hour on a 385 mile trip how many hours did you drive

Answer 1

35t + 70(7 - t) = 385

...multiply 70

35t + 490 - 70t = 385

...simplify

-35t + 490 = 385

...subtract 490

-35t = -105

...divide -35

t = 3 hours

Answer 2

3 hours.

Explanation:

In the equation 35t + 70 ( 7 - t ) = 385

t represents the number of hours driving at 35 miles per hour on 385 mile trip.

We will solve this equation for the value of t.

35t + 70 × 7 - 70t = 385

490 - 35t = 385

-35t = 385 - 490

-35t = -105

t =
`(105)/(35)`

t = 3 hours

Therefore, number of hours I will drive = 3 hours.