A bus departed from point A to point B at a speed of 72 km / h. After 45 minutes, a car followed him

A bus departed from point A to point B at a speed of 72 km / h. After 45 minutes, a car followed him at a speed 25% faster than the speed of the bus. Find how many hours after the bus leaves, the car will catch up with the bus?

Let’s denote by the unknown variable x hours – the bus was traveling before the meeting,

Then x -3/4 hours – the car was driving until the meeting.

Let’s find the speed of the car: 1.25 * 72 = 90 kilometers per hour.

72 kilometers – the bus drove to the meeting,

90 * (x – 3/4) kilometers – the car drove before the meeting.

72x = 90 * (x – 3/4);

72x = 90x – 67.5;

18x = 67.5;

x = 3.75 hours – the bus was driving to the meeting.