Question

A traveler drove 150 miles at 50 miles per hour and then 160 miles at 40 miles per hour. How many hours did the drive take altogether?

Answer 1

Answer:

7 hours

Step-by-step explanation:

Hello

in physics, velocity is the physical magnitude that shows and expresses the variation in terms of position of an object and as a function of time

$V=\frac{s}{t}$

where, V is velocity, s is the distance  and t  is the time

isolating time(t)

$V=\frac{s}{t} \\\\\\\\V*t=s\\\\t=\frac{s}{V}$

$t_{1}=\frac{150\ miles}{50\frac{mi}{h} }\\t_{1}=3\ hours\\\\t_{2}=\frac{160\ miles}{40\frac{mi}{h} }\\t_{1}=4\ hours\\\\the\ total\ time\ he\ drove\\\\t_{1}+t_{2}=3\ h + 4\ h\\\\total\ time = 7\ hours$

Have a great day

Answer 2

Divide 150 by 50 to get that that part of the drive took 3 hours.  Then divide 160 by 40 to get that that part of the drive took 4 hours.  Therefore, the whole trip took 7 hours.