A glacier moves about 12 inches every 36 hours. About how far does the glacier move in 1 week?
movement= (12in*1wk*7 days/wk*24hrs/day)/36hrs
Can you explain how you work the problem?
I know its a proportion but I don't get it?
12/36 = x/168
Cross multiply and solve for x.
To determine how far the glacier moves in 1 week, we need to calculate the distance it covers in 1 day, then multiply that by the number of days in a week.
The glacier moves 12 inches every 36 hours. To find the distance it moves in 1 hour, we divide 12 inches by 36 hours:
12 inches / 36 hours = 0.33 inches per hour
Next, we calculate the distance the glacier moves in 1 day since there are 24 hours in a day:
0.33 inches per hour * 24 hours = 7.92 inches per day
Finally, to find the distance it moves in 1 week, we multiply the distance per day by the number of days in a week, which is 7:
7.92 inches per day * 7 days = 55.44 inches
Therefore, the glacier moves about 55.44 inches in 1 week.