Paper2-CSEC-MATHS#42 ~ The One w/ Track Questions ~ January 2023 Number 6

Timestamps: Question ~ 0:01 ~ January 2023 Paper 2 CSEC Maths Number 6 Solution 6ai ~ 0:10 ~ Length of the track shown to be 350m Solution 6aii ~ 0:24 ~ Time Nathan walks 7 laps Solution 6bi ~ 0:40 ~ Amount of laps Tafari can do in an hour Solution 6bii ~ 0:55 ~ Number of laps until Nathan and Tafari are at the same point In this question use pi = 22/7 The diagram shows a scaled drawing of a running track It consists of a rectangle and two semicircles with diameters LN and MP LN = MP = 49m and LM = NP = 98 m (a)(i) Show that the TOTAL length of the running track is 350 m (a)(ii) Nathan walks at a constant rate of 1.4 m/s Calculate the time it will take him to walk 7 laps around the track (b) Tafari runs one lap of the track in 68 seconds (i) Determine the number of laps Tafari can complete in one hour, running at the same speed (ii) Nathan completes running one lap of the track every 72 seconds Tafari and Nathan start running at the same time from point L on the track Each completed a number of laps of the track Calculate the LEAST number of laps that each will complete before they are both at point L again at the same time