Answer:
6 miles per hour
Explanation:
Anita's speed is given as = 4 miles per hour
We are told in the question that:
Anita's brother leaves their house 12 minutes after her, and he catches up to her 24 minutes later.
Hence, total time for Anita's jogging =
12minutes + 24 minutes = 36 minutes
Converting to hour
60 minutes = 1 hour
36 minutes =
Cross Multiply
36/60 hr = 3/5 hr
Since Anita's speed is 4 mph,
The formula for distance = Speed × Time.
The total distance Anita covers when jogging = 4mph × 3/5 hour
= 12/5miles
We are told in the question that:
Anita's brother is also running at a constant rate
Hence
The distance Anita's brother is covering = 12/5 miles as well
The time the brother runs = 24 mins
Convert to hour
60 minutes = 1 hour
24 minutes =
Cross Multiply
24/60 hour = 6/15 hour
Anita's brother's speed =
Distance/time
= 12/5 miles ÷ 6/15 hour
= 12/5 × 15/6
= 6 miles per hour.
Therefore, Anita's brother's speed is 6 miles per hour