how do solve this word problem a remote-control car races straight down the street at 18 ft per seconds. 2 seconds lather a second remote car races straight down the same street at 36 ft per second how long will it take to 2nd car to catch up to the 1st car

A. 8 seconds
b. 6 seconds
c. 2 seconds
d. 4 seconds

Question

how do solve this word problem a remote-control car races straight down the street at 18 ft per seconds. 2 seconds lather a second remote car races straight down the same street at 36 ft per second how long will it take to 2nd car to catch up  to the 1st car

A. 8 seconds
b. 6 seconds
c. 2 seconds
d. 4 seconds

mosaic · Answer

Assume the second car catches up with the first car "x" seconds later.
When they catch up both cars will have traveled the sane distance.
First car has a 2 second head start.  So first car has traveled for (x+2) seconds and in that time it would have traveled a distance of (x+2) * 18 ft.
The second car would have traveled a distance of 36 * x ft.
Equate the two distances and solve for x.