Question 1195332
<br>
When the taxi leaves, the bus has been traveling for 20 minutes (1/3 of an hour) at 75km/h, traveling a distance of (1/3)(75) = 25km.<br>
The rate at which the taxi catches up to the bus is the difference of their speeds -- 95-75 = 20km/hr.<br>
The time required to make up the distance of 25km at a rate of 20km/h is 25/20 = 5/4 = 1.25 hours or 1 hour 15 minutes.<br>
When the taxi catches up to the bus, it has been traveling 5/4 hours at a speed of 95km/h; the distance it has traveled is (5/4)(95) = 475/4 = 118.75km.<br>
ANSWER: 118.75km<br>