The average time taken by 6 athletes in a race is 1 minute 50 seconds. The winner completed the race in 1 minute 20 seconds. What is the average time taken by the other 5 athletes?
- A1 min 56 s
- B1 min 55 s
- C1 min 52 s
- D1 min 50 s
Solution & Step-by-step Explanation
First, convert all time durations into seconds:
Average time for 6 athletes = 1 min 50 s =60+50=110 seconds
Winner's time = 1 min 20 s =60+20=80 seconds
Total time taken by all 6 athletes:
Total Time=6×110=660 seconds
Total time taken by the other 5 athletes:
Time for 5 athletes=660−80=580 seconds
Average time taken by the other 5 athletes:
Average Time=
5
580
=116 seconds
Converting 116 seconds back to minutes and seconds:
116 seconds=1 minute and 56 seconds
Average time for 6 athletes = 1 min 50 s =60+50=110 seconds
Winner's time = 1 min 20 s =60+20=80 seconds
Total time taken by all 6 athletes:
Total Time=6×110=660 seconds
Total time taken by the other 5 athletes:
Time for 5 athletes=660−80=580 seconds
Average time taken by the other 5 athletes:
Average Time=
5
580
=116 seconds
Converting 116 seconds back to minutes and seconds:
116 seconds=1 minute and 56 seconds