1) The distance between Chicago and Cleveland is 354 miles. If a person leaves Chicago at 9:50 am. Central Time and arrives in Cleveland at 5:30 pm the same day Eastern Time, at what average speed does he travel, correct to the nearest mile
a) 46 mph
b) 50 mph
c) 53 mph
d) 55 mph
e) none of these answers
2) The oil burner in a certain house is used to heat the house and to heat the hot water. During the seven cold months when the house is heated, an average of 200 gallons of oil a month is used. In the remaining five months, when the house is not heated, a total of 200 gallons of oil is used. What percentage of the year's oil supply is required to heat water during these five months
a) 1/8%
b) 7%
c) 12 1/2%
d) 14%
e) none of these answers
I'm too lazy to do 2 but here's question 1
9:50 central -> 10:50 eastern
10:50 -> 5:30 = 6 2/3 hours
354 divided by 6 2/3 hours -> 53.1 which rounds to 53 hours
1) To find the average speed, we need to divide the distance traveled by the time taken.
Since the person leaves Chicago at 9:50 am Central Time and arrives in Cleveland at 5:30 pm Eastern Time, the total time taken is 7 hours and 40 minutes.
To convert this to hours, we need to account for the time zone difference of 1 hour.
Therefore, the total time taken is 6 hours and 40 minutes.
To find the average speed, we divide the distance (354 miles) by the time taken (6.67 hours).
Average speed = 354 miles / 6.67 hours ≈ 53 miles per hour
Therefore, the correct answer is c) 53 mph.
2) The question states that during the seven cold months, 200 gallons of oil are used per month. This gives us a total of 200 gallons/month × 7 months = 1400 gallons.
In the remaining five months, when the house is not heated, 200 gallons of oil is used.
Therefore, the total oil used in a year is 1400 gallons + 200 gallons = 1600 gallons.
To find the percentage of the year's oil supply required to heat water during these five months, we divide the amount of oil used for heating water (200 gallons) by the total oil used in a year (1600 gallons) and multiply by 100.
Percentage = (200 gallons / 1600 gallons) × 100 = 12.5%
Therefore, the correct answer is c) 12 1/2%.
1) To find the average speed, we need to find the total time of travel and divide it by the distance traveled.
First, let's find the total time traveled. The person leaves Chicago at 9:50 am Central Time and arrives in Cleveland at 5:30 pm Eastern Time. We need to account for the time difference between the two cities.
Chicago is in the Central Time Zone, which is 1 hour behind the Eastern Time Zone. So, the person traveled for a total of 7 hours and 40 minutes.
Next, let's calculate the average speed. The distance between Chicago and Cleveland is 354 miles.
Average Speed = Distance / Time
Average Speed = 354 miles / 7 hours and 40 minutes
To calculate the average speed, we need to convert the time from minutes to hours. There are 60 minutes in an hour.
7 hours and 40 minutes = 7.67 hours (approx.)
Average Speed = 354 miles / 7.67 hours
Dividing 354 by 7.67 gives us approximately 46.14 miles per hour.
Rounding to the nearest mile, we get an average speed of 46 mph.
Therefore, the correct answer is (a) 46 mph.
2) To find the percentage of the year's oil supply required to heat water during the five months when the house is not heated, we need to compare it to the total oil usage for the year.
The total oil used during the seven cold months when the house is heated is 200 gallons per month, so the total usage for these seven months is 200 gallons/month * 7 months = 1400 gallons.
The total oil used during the remaining five months when the house is not heated is 200 gallons.
The total oil usage for the whole year is the sum of these two amounts: 1400 gallons + 200 gallons = 1600 gallons.
To find the percentage of the year's oil supply required to heat water during the five months, we divide the amount of oil used for heating water (200 gallons) by the total oil usage for the year (1600 gallons) and multiply by 100 to get the percentage.
Percentage = (200 gallons / 1600 gallons) * 100
This simplifies to (1/8) * 100 = 12.5%.
Therefore, the correct answer is (c) 12 1/2%.
1. speed=distance/time=354/(16:30-09:50)
speed=354/(6hrs 40min)=354/(6.66)=
total oil used=7*200+200=1600 gal
water heating total=200(12/5)=480gal
fraction= (480/1600)= looks like e to me