Glenn’s step is 4 fifths of that of his father’s and he walks 30 steps in a minute.
Glenn’s sister, Melanie has a step which is 3 quarters of Glenn’s and walks 25 steps in a minute.
Glenn’s mother has a step which is twice the size of Melanie’s and walks 20 steps in a minute, but gets tired very quickly and every 200 steps stops for a 3-minute rest.
Glenn’s Grandma and Grandpa have a step which is one-eighth shorter than Glenn’s step but walk 40 steps in a minute! While Glenn’s Auntie and Uncle have a step that is one-fifth larger than Glenn’s father but only walk 15 steps in a minute.
Glenn’s father’s step is exactly 1 metre and he walks 27 steps in a minute.
Glenn’s whole family go on a scenic bushwalk through Wakiri National Park; the walk is exactly 3 kilometres long. Who will finish the walk first and how long will it take? Who will finish the walk last and how long will it take them?
Hint
100 cm in a metre.
1000 metres in a km.
Answer
Glenn’s Grandma and Grandpa will finish the walk first and it will take them 107 minutes. Glenn’s sister Melanie will finish the walk last and it will take her 200 minutes.
How to do it:
Find the length of everyone’s step by using the length of the step of Glenn’s father; multiply this number by the amount of steps they do in a minute and divide by 300000. Convert everything to cm.
Glenn = 80 x 30 divided by 300000cm = 125 min
Melanie = 60 x 25 divided by 300000cm = 200 min
Grandparents = 70 x 40 divided by 300000cm = 107 min
Aunt & Uncle = 120 x 15 divided by 300000cm = 167 min
Mother = 120 x 20 divided by 300000cm = 125 min + 12 x 3 = 161 min
Father = 100x 27 divided by 300000cm = 111 min.
