Answer:
Beki's jersey number is 34. She last 12 minutes
Nick's jersey number is 20. He last 10 minutes
Carmen's jersey number is 2. She last 14 minutes
Joey's jersey number is 13. He last 11 minutes
Step-by-step explanation:
• The sum of the digits on Beki's jersey number is 7. Therefore, Beki's number is necessarily 34 (3+4 = 7)
• Nick's jersey number is 18 greater than Carmen's. Therefore, Nick's jersey number is 20 and Carmen's jersey number is 2 (2 + 18 = 20). If Carmen's jersey number was 13, 13+18 = 31 which is not included in the options. If it was 20, 20+18 = 38 is not included either.
• From previous items, Joey's jersey number is 13
• The runner with the lowest jersey number also ran the slowest time. Therefore, Carmen last 14 minutes
• Nick finished exactly 2 minutes faster than Beki. Therefore, Nick's time is 10 minutes and Beki's time is 12 minutes, because from the remaining options (10, 11 and 12) this is the only combination 2 minutes apart.
• From previous items, Joey's time is 11 minutes
