Christian went on a run. He jogged for five minutes, then increased his rate to a faster constant pace for seven minutes. He then took a rest for four minutes. During what time interval has christian traveled 1.5 miles?
To find the time interval during which Christian has traveled 1.5 miles, we need to determine how far he has run during each time segment.
During the first segment, Christian jogs for 5 minutes. Let's assume his pace during the jog is x miles per minute. Therefore, the distance covered during this time is 5x miles.
During the second segment, Christian runs at a faster constant pace for 7 minutes. Let's assume his faster pace is y miles per minute. Therefore, the distance covered during this time is 7y miles.
During the third segment, Christian takes a rest for 4 minutes and doesn't cover any distance.
In total, Christian covers a distance of 1.5 miles. So,
5x + 7y = 1.5.
To solve the equation, we need more information about the relationship between x and y.