Saturday 16 May 2015

Please find the Answers of the questions asked by me in my last post

Q.1 : A car traveled 281 miles in 4 hours 41 minutes. What was the average speed of the car in miles per hour?

Ans 1: You just need to express 4 hrs 41 min in terms of hours. Then
you will have an answer in miles/hour
The simplest expression, since 41 has no divisors is
4 hours +41/60 (min/(min/hr) =240/60+ 41/60 = 281/60 hrs

(281/281)/60 = 60
The average speed is 60 mi./hr

Q.2: In a group of 120 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20?

Ans.2:  
Number of people whose age is less than 20 is given by

120 - 90 = 30

Probability P that a person selected at random from the group is less than 20 is gieven by

30 / 120 = 0.25

Q.3: The length of a rectangle is four times its width. If the area is 100 m2 what is the length of the rectangle?
Ans3.: Let L be the length and W be the width of the rectangle. Hence

L = 4 W

We now use the area to write

100 = L × W

Substitute L by 4 W in the equation above

100 = 4 W × W = 4 W2

Solve for W and find L

4 W2 = 100

W2 = 25 ,

W = 5 and L = 4 W = 20 m


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