Canadian Forces Aptitude Test (CFAT) Practice

How many days will it take for a machine to dig a total depth of 112 m if it can dig for seven hours each day?

1. 5

2. 10

3. 15

4. 20

The correct answer is: 10

To determine how many days it will take for the machine to dig a total depth of 112 meters while operating for seven hours each day, we first need to establish the machine's digging rate. Assuming that the machine's digging capacity allows it to consistently dig, let’s say, X meters per hour (the exact rate is not provided in the question). By multiplying this hourly rate by the number of hours it operates each day (7 hours), we can find the total meters dug in one day: Total meters dug per day = 7 hours * X meters/hour. Next, to find the total number of days required to reach 112 meters, we can use the formula: Total days = Total depth to be dug (112 m) / Total meters dug per day (7X m). Given that the answer is 10 days, it implies that the machine has a digging rate that allows it to cover a total of 11.2 meters per day (which would mean X is 1.6 meters/hour approximately): 7 hours * 1.6 meters/hour = 11.2 meters/day. So, when we divide the total depth of 112 meters by 11.2 meters/day: 112 m ÷