Question 275448
Two cities are 405 miles apart. A car leaves one of the cities traveling toward the second city at 60mph. At the same time, a bus leaves the second city bound for the first city at 75mph. How long will it take them to meet?

Let the distance traveled by the car when they meet be x. Speed of car is 60 mph

The bus would have traveled 405 -x miles . speed of bus is 75mph

Time taken by car when they meet will be x/60

Time taken by bus when they meet will be 405-x / 75

So x/60 = 405-x / 75

75x = 60 ( 405-x)

75x= 24300 -60x

75x+60x=24300

x= 24300 / 135
x= 180 

180 /60 =3 hours 

They meet after 3 hours.