2015 AMC 10B Problem 5

Problem 5 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 finished

6

th, so Jack finished

5

th. Since Jack finished

2

places behind Todd, Todd finished

3

rd. Since Todd finished

1

place behind Rand, Rand finished

2

nd. Hikmet finished

6

places behind Rand, so Hikmet finished

8

th. Thus, the correct answer is B.