Sheila leaves her home to go to her sister's house, which is a 24-mile drive. The trip takes 36 minutes. She returns home taking the same route at a speed that is 5 miles per hour faster.
How many minutes did the trip home take?
I came up with 33 is this correct?
Not sure how you got your answer, but it is one minute off.
Speed going = 24 miles /(36/60) houre
= 40 miles per hour
return speed = 40+5 = 45 miles per hour
Time required = 24 miles / 45 mph * 60 minutes/hour
= 32 minutes.
To find the answer, we need to analyze the given information. Sheila drives to her sister's house, which is 24 miles away and takes her 36 minutes. Then, she returns home using the same route at a speed that is 5 miles per hour faster.
To determine the time it took for her to travel back home, let's calculate her speed first. We know that her speed going to her sister's house can be found by dividing the distance (24 miles) by the time taken (36 minutes converted to hours, which is 0.6 hours):
Speed = Distance / Time
Speed = 24 miles / 0.6 hours
Speed = 40 miles per hour (mph)
Now, we are told that Sheila returns home at a speed 5 miles per hour faster than her previous speed. Therefore, her speed for the return trip will be 40 mph + 5 mph = 45 mph.
To find the time it took for Sheila to return home, we can divide the distance (24 miles) by her speed (45 mph):
Time = Distance / Speed
Time = 24 miles / 45 mph
Now, we need to convert the result into minutes. Since we know that 1 hour is equal to 60 minutes, we can convert the time from hours to minutes:
Time (in minutes) = Time (in hours) * 60
Time (in minutes) = (24 miles / 45 mph) * 60
Let's calculate the exact value:
Time (in minutes) = (24 / 45) * 60
Time (in minutes) ≈ 32 minutes
Therefore, the trip back home took approximately 32 minutes, not 33 minutes.