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AMO 2027 Grades 6-7 SET 1 - Self-study Question 14

AMO · AMO 2027 Grades 6-7 SET 1 - Self-study

Question 14

a) The first number is three times the second number. The sum of their reciprocals is 4. What is the value of the second number?

b) $\frac{2}{9}$ of the people on a restaurant are adults. If there are 95 more children than adults, how many children are there in the restaurant?

c) Susan jogged from home to the sport complex at a constant speed of 6 km/h. 10 minutes later, her sister, Susie, started riding a bicycle along the same route toward the sports complex at a constant speed of 18 km/h. If they arrived at sports complex at the same time, how many seconds does it take Susan to jog from home to the sport complex?