Problema Solution
Amy is just learning how to rock climb. Her instructor takes her to a 26-foot climbing wall for her first time?
She climbs 5 feet in 2 minutes but then slips back 2 feet in 10 seconds. This pattern (up 5 feet, down 2 feet) continues until she reaches the top. How long will it take her to reach the very top of the wall?I need to systematically solve this problem?
Answer provided by our tutors
in 2 min = 120 sec Amis has climbed: 5 ft
in 2 min and 10 sec = 130 sec she has climbed: 5 - 2 = 3 ft
in 130 + 120 = 250 sec she has climbed: 3 + 5 = 8 ft
in 250 + 10 = 260 sec = 2*130 she has climbed: 8 - 2 = 6 ft = 2*3 ft
in x*130 sec Amy will climb 3x ft
in 7*130 sec Amy will climb 3*7 = 21 ft
in the next 2 min = 120 sec she will climb another 5 ft and reach the 26 ft height, assuming that she doesn't slip back, it will take her:
7*130 + 120 = 1030 sec = 17 min 10 sec to reach the top.