# A bus traveling at an average rate of 30 miles per hour left the city at 11:45 A.M. A car following the bus at 45 miles per hour left the city at noon. At what time did the car catch up with the bus?

Jun 30, 2017

O.5 hours or 12:30PM

#### Explanation:

let $x$=number of hours

the formula would be $30 \left(x + .25\right) = 45 x$

$30 x + 30 \cdot 0.25 + 45 x$

$30 x + 7.5 = 45 x$

$7.5 = 15 x$

$x = 0.5$ hours; $0.5$ hour $= 30$ min

$12 : 00 + : 30 = 12 : 30$PM