Daniel runs 150 metres for 5 times. The average time taken for his first three runs is 16.2 seconds. He aims to have an average timing of 14.7 seconds for his five runs.
- What is the average time he needs to take for his 4th and 5th run in order to achieve his aim?
- If he runs 5 seconds faster in one of the five runs, what would be his average time for the five runs?
(a)
Total timing for first three runs
= 3 x 16.2
= 48.6 s
Total timing needed if the average is to be 14.7 s
= 14.7 x 5
= 73.5 s
Total timing for last two runs to achieve his aim
= 73.5 - 48.6
= 24.9 s
Average timing for last two runs
= 24.9 ÷ 2
= 12.45 s
(b)
New average
= (73.5 - 5) ÷ 5
= 13.7 s
Answer(s): (a) 12.45 s; (b) 13.7 s