The speed ratio of a and B is known to be 3:4. A starts 15 minutes earlier than B. when a meets B, a walks 6 kilometers less than B. It takes 2.25 hours for B to start from B to meet A. how about the speed of a and B and the distance between a and B?

The speed ratio of a and B is known to be 3:4. A starts 15 minutes earlier than B. when a meets B, a walks 6 kilometers less than B. It takes 2.25 hours for B to start from B to meet A. how about the speed of a and B and the distance between a and B?

15 minutes = 0.25 hours
Suppose the speed of a is 3x km / h, then the speed of B is 4x km / h
(0.25+2.25)×3x+6=2.25×4x
7.5x+6=9x
1.5x=6
x=4
That is: the speed of a is 3 × 4 = 12 km / h, and that of B is 4 × 4 = 16 km / h
Distance between two places: 12 × 2.5 + 16 × 2.25 = 30 + 36 = 66 (km)