Question

300 miles 55 mph 65 mph How many hours will it take for these two vehicles to meet? [?] hours Give your answer as a decimal.

Answer 1

t = 2.5 hours

Step-by-step explanation

Let the distance from the 55 mph car to where the two cars will meet be x miles.

Then, that distance from the 65 mph car will be (300 - x) miles.

The time that they would both meet is common to the two cars and is t.

Speed = (Distance/Time)

For the 55 mph car

55 = (x/t)

x = 55t ........ (equation 1)

For the 65 mph car

65 = (300 - x)/t

300 - x = 65t

We can substitute the value of x from equation 1 into the second equation

300 - x = 65t

300 - 55t = 65t

65t = 300 - 55t

65t + 55t = 300

120t = 300

Divide both sides by 120

(120t/120) = (300/120)

t = 2.5 hours.

Hope this Helps!!!