A couple questions (SAT)?

Question

If abc =1, which of the following could be the number of integers among a, b, and c?

I. 1, II. 2, III. 3

a) none b) I only c) I and II d) I and III e) I, II, and III


The distance between Ali's house and college is exactly 135 miles. If she drove 2/3 of the distance in 135 min., what was her average speed, in miles per hour?

a) 40 b) 45 c) 60 d)67.5 e) cannot be determined


Please if you answer one of these question, EXPLAIN!

Answer 1

To answer #1, you must know the definition of an integer. They are the natural counting numbers, both positive and negative.
1/2 is not an integer.

1 = abc
1 = 1 * 1 * 1
1 = 1 * (-1) * (-1)
The answer is "C"


Question number 2 is written so that you will see
135 miles in 135 minutes is
1 mile in 1 minute is
60 miles in 60 minutes is
60 mph
So, since she only went 2/3 of the distance, she was going less than 60 mph (eliminate c,d,e).

Our baseline calculated rate was 60mph, she went 2/3 of that or
40 mph.

Answer 2

If abc =1, which of the following could be the number of integers among a, b, and c?

c) I and II

1*1*1 = 1
1*(-1)*(-1) = 1

The distance between Ali's house and college is exactly 135 miles. If she drove 2/3 of the distance in 135 min., what was her average speed, in miles per hour?

Distance = (2/3)(135) = 270/3 = 90 miles

Rate = Distance / Time = 90 / (135/60)

Rate = 60*90/135 = 40 miles / hour

The answer is a.

Bedbye got it first.

Answer 3

1. e) I, II, and III 1*1=1 2*.5=1 3*.3=1

2.135/3= 45*2=90 So she drove 90 miles in 135 min. so thats equal to 40 miles per hour

Answer 4

First question:
If a=b=c=1, then III is possible
a=2, b=1, c=0.5, so II is possible
a=6, b=1/2,c=1/3, so I is possible.
Therefore, I'd go with (e).

Second question:
2/3 of 135 miles is 90 miles. 135min = 2.25hr. Therefore the average speed is 90/2.25 = 40mph, so (a).

Answer 5

If she drove 135 miles in 135 minutes she would be traveling 1 mile per minute or 60 mph. But she only did 2/3 of it so ----- 40 mph.

Answer 6

I will answer your second question:

2/3 of total distance=2*135/3
=90 miles

Av. speed = distance/time=90/135 miles/min.
=2/3 miles/min.
=2*60/3 miles/hr.
=40 miles/hr.
Ans. (c)

Answer 7

1. (e)
1(2.1)(1/2.1), I works.
1(2)(1/2), II works
1(1)(1), III works

2. (a)
speed = distance/time
= (2/3)(135 miles)/2.25 hours, since 135min = 135min(1hour/60min) = 2.25 hours
= 40 mile/hour

Answer 8

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