need answered asap please

Question

A truck enters a highway driving 60 mph. A car enters the highway at the same place

5 minutes later and drives 69 mph in the same direction. From the time the car enters the​ highway, how long will it take the car to pass the​ truck?

Answer 1

distance = rate of speed times time traveled

d=rt

60t = 69(t-1/12) 5 minutes = 1/12 of an hour

60t = 69t - 69/123

9t = 69/12 = 23/4

t = 23/4/9

t = 23/36 =about 0.6389 hour at 60 mph

= 38 1/3 minutes at 60 mph

t- 1/12 = 23/36 -3/36 = 20/36 = 5/9 =about .556 hour

= 33 1/3 minutes at 69 mph

60 x 23/36 = 5/3)(20) = 115/3 = 38 1/3 miles

69 x (23/36-1/12) = 69x(20/36) = 23(20)/12 = 23(5)/3 = 115/3 = 38 1/3 miles