HarveyKlaus wrote:
During a spring season, a certain glacier surged at the rate of 1 mile per 100 days. What was its rate in feet per hour? (1 mile = 5,280 feet)
A. 5/11
B. 11/5
C. 55
D. 110
E. 22,000
(I always get confused with this type of conversion value question! Any formula or shortcut to tackle this type of questions?)
Thank you!
You are given that the glacier surged
1 mile / 100 days. Rate in feet / hour = distance in feet / time in hours.
Think about this conversion, you need to do 2 conversions, miles to feet and days to hours.
Lets start with the easier one, days to hours. You know that 1 day = 24 hours, thus time in hours = 24*100= 2400.
Now moving to the numerator of the required conversion, miles to feet. You are given that 1 mile = 5280 feet and as such you dont have to do anything as glacier moves 1 mile in 100 days.
Thus, Distance in feet = 1*5280=5280
Finally, the required conversion = 5280/2400 \(\approx\) 2.2 (think of it as 52/24).
Now lets analyse the options,
A. 5/11 , less than 1 . Eliminate.B. 11/5 . Keep.C. 55. Too large. Eliminate. D. 110. Too large. Eliminate.E. 22,000. Too large. Eliminate.B is thus the correct answer.
For these conversion type questions, you need to follow a systematic process so that you dont swap numerator with denominator or assume the relation given to be the vice versa.
Hope this helps.
This is very basic but I aways face difficulties with conversions(specifically distance related problems). For example converting meters into km, or inches into km, or km into m etc. I always get confused with If I should divide or multiply.
Is there any easy rule to remember how conversions should be done? For example anything like, if we convert smaller thing into bigger then we always multiply otherwise divide etc ? Im just brainstorming to make any simple rule to deal with these type of questions. Im posting another sample question below.
The average distance between the Sun and a certain planet is approximately 2.3 x 10^14 inches. Which of the following is closest to the average distance between the Sun and the planet, in kilometers? (1 kilometer is approximately 3.9 x 10^4 inches.)
So e.g. in order to convert inches into km, I should divide? Can we make any rule out of that?