2015 AMC 12B Problem 4

Problem 4 of 25Easier

David, Hikmet, Jack, Marta, Rand, and Todd were in a

12

-person race with

6

other people. Rand finished

6

places ahead of Hikmet. Marta finished

1

place behind Jack. David finished

2

places behind Hikmet. Jack finished

2

places behind Todd. Todd finished

1

place behind Rand. Marta finished in

6

th place. Who finished in

8

th place?

Show solution

Solution

Marta is

6

th, so Jack is

5

th. Jack is

2

behind Todd, so Todd is

3

rd. Todd is

1

behind Rand, so Rand is

2

nd. Rand is

6

ahead of Hikmet, so Hikmet is

8

th. (David is

10

th.) Thus, the correct answer is B.