Xiao Zhang and Xiao Wang ride motorcycles from A to B at the same time. Xiao Zhang's speed is 40 kilometers per hour, and Xiao Wang's speed is 48 kilometers per hour.

Solution: Let two people meet for x hours, 15 minutes = 1/4 hours; Then it takes (x- 1/4) hours for Xiao Wang to reach B, and the distance from A to B is 48(x- 1/4) kilometers. Wang returned to 15 minutes and walked 48× 1/4 km, Zhang Yi * * walked 40 km, and the sum of Wang 15 minutes and Zhang Yi * * * walked is just the distance between A and B:

48(x- 1/4)= 40x+48× 1/4

48x- 12=40x+ 12

48x-40x= 12+ 12

8x=24

x=3

The distance between A and B is 48× (x-1/4) = 48× (3-1/4) = 48×11/4 =132.

Formula algorithm: When they met, Xiao Wang walked two miles more than Xiao Zhang, 15 minutes.

Xiao Wang walks more than Xiao Zhang every hour = 48-40 = 8km.

Time from departure to meeting =(2×48× 1/4)÷8=3 hours.

The distance between a and b = 48× (3-1/4) =132km.

Comprehensive formula:

48×[(2×48× 1/4)÷(48-40)- 1/4]

=48×(24÷8- 1/4)

=48×(3- 1/4)

=48× 1 1/4

=132km

A: The distance between A and B is 132km.