Question

The difference between tuvo numbers is 25. The smaller number is 16th of the larger number What is the value of the smaller number? A radio station’s signal has a radius of 100 miles If you drrve at a constant speed of 40 miles an hour, nonstop, directly across the diameter of the signal, how long can you listen to the station before the signal fades? If a man runs for an hour and a half at 8 miles an hour due south: and then he continues south on a bus traveling at 55 miles an hour, for 24 minutes How far did he travel? George saves 18% of his total gross weekly earnings from his 2 part-time jobs. He earns $6 25 per hour from one part-time job and $7.50 per hour from the other part-time job George works a total of 40 hours between the two jobs each week. What additional information is needed to determine the amount of his earnings he saves each week? Mary buys 8 widgets for $40.00. She adds $1.00 in enhancements to cach widget and sells them for $9 00 each What Is Mar/s estimated gross profit margin?

Answer 1

ques 13) Let the smaller number be x

Then the large number is 6x.

So, 6x-x=25, or x=5.

Option (3)

So, the value of smaal number is 5 and large number is 30.

ques 14) radius=100 miles. speed = 40 miles/hour.

distance to go=2*100=200 miles.

So, the driver can listen to the signal till 200/40 = 5 hour.

Option (4) is the answer.

ques 15) total distance travelled= 1.5*8+(24/60)*55

=12+22 miles

=34 miles.

Therefore option(2) is the answer

ques 16) option (b) is the answer because we dont know the total earnings he is getting.For that to know, we must find out the no of hours he worked at his job.

ques 17) Total input from Mary=40+8*1=$48

total output = 9*8=$72

Therefore, total profit=$72-$48=$24

so, profit magrin =total profit/total input from Mary=24/48=50%

So, option (D) is the answer.

Answer 2

13)- 5

14)- 5 hrs

15)- 34 miles

16) - the number of hours he works each job

17)- 33 %

If u have any doubt in any part feel free to ask any doubts

Answer 3

13)

a - b = 25

b = a/6

=> a - a/6 = 25

=> 5a/6 = 25

=> a = 30

=>b = 5

14) 100/40 = 2.5 hours

15) Total distance = 8 miles + 55 miles/ 60 minutes * 24 = 30 miles

16) The number of hours he works at each job.

17) ($9 - $6 / $9) * 100 = 33%