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標題:
F.1 Mathematics
發問:
1)X,Y and Z are three number. Y is 10% greater than X,and Z is 10% greater than Y. By what percentage is Z greater than X.2a)In a cycle race, the speed of cyclist A was 55 km/h. Three hours later, she would finish 60%of the whole journey.If the speed of cyclist B was 66 km/h,what percentage of... 顯示更多 1)X,Y and Z are three number. Y is 10% greater than X,and Z is 10% greater than Y. By what percentage is Z greater than X. 2a)In a cycle race, the speed of cyclist A was 55 km/h. Three hours later, she would finish 60%of the whole journey.If the speed of cyclist B was 66 km/h,what percentage of the whole journey would she finish in one hours. 2b)Three hours after the race started,the types of cyclist B's bicycle became flat and her speeed was reduced by 50%. Which cyclist would be the winner?
最佳解答:
1) Y = X(1+10%) Z = Y(1+10%) = X(1+10%)(1+10%) = X(121%) = X(1+21%) Hence, Z greater than X by 21%. 2a) Whole journey = 55 x 3 / 60% = 275Km Cyclist B in one hour : 66/275 x 100% = 24% Hence, cyclist B finishs 24% of the journey in one hour. 2b) Let time required by cyclist B be T hour. T = 3 + (275 - 66 x 3) / (66 x 50%) = 3 + 2.33 = 5.33 (2 decimal places) Hence, cyclist A would be the winner of the race.
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