Search found 22 matches


Given,
Total distance = 300 miles
Let team B speed be X
then, Team A speed = X+5
Time B - Time A = 3 hours
(300/x) - (300/(x+5)) = 3
x^2 +5*x - 500 =0
x = 20, -25
Speed can only be positive, so Speed of B is 20

by Manasa3190

Sat Dec 29, 2018 8:01 pm
Forum: Problem Solving
Topic: Two dogsled teams raced across a 300 mile course in Wyoming.
Replies: 3
Views: 881

answer

Since the third side of a triangle should obey the rule,
x-y < third side < x+y
where x, y are the two sides of a triangle

only 3,5,7 satisfies this
So, number of triangles that can be formed with given rod lengths is 1
Option E

by Manasa3190

Sat Dec 29, 2018 7:44 pm
Forum: Problem Solving
Topic: Given four rods of length 1 meter, 3 meters, 5 meters, and 7
Replies: 3
Views: 661

1) Bucket can hold at least 9 liters of water, but doesn't give any info regarding the capacity of the bucket Insufficient 2)Let x be the capacity of the Bucket Given that Bucket contains x/2 liters When 3 liters is added water content increased by 1/3 (x/2) + 3 = (x/2)*(1/3) x/6 = 3 x = 18 Sufficie...

by Manasa3190

Sat Dec 29, 2018 7:34 pm
Forum: Data Sufficiency
Topic: Marcia's bucket can hold a maximum of how many liters of wat
Replies: 3
Views: 671

Divisibility/Multiples/Factors , Number Properties

1) If there is no prime number below the value of $$\sqrt{N}$$ which divides N then the number N is prime. So N is a prime Number, which has only two factors 1 and itself Only one prime number i.e., itself Sufficient 2) A prime number has only two factors i.e., 1 and itself So, only prime factor is ...

by Manasa3190

Sat Dec 29, 2018 7:05 pm
Forum: GMAT Math
Topic: Divisibility/Multiples/Factors , Number Properties
Replies: 5
Views: 1858

answer

Cost of each calculator = (300/x) selling price of each calculator is = 420/(x-2) Since, Selling price = Cost Price + Profit Selling Price - Cost Price = 5 (per unit) (420/(x-2)) - (300/x) = 5 (84/(x-2) ) - (60/x) = 1 Solving the above equation, x^2 - 26x - 120 = 0 x^2 - 30x + 6 - 120 = 0 x = 30,-6 ...

by Manasa3190

Fri Dec 28, 2018 8:17 pm
Forum: Problem Solving
Topic: A merchant paid $300 for a shipment of x identical
Replies: 3
Views: 541

answer

f(x) = 1-(1/x) f(x) = (x-1)/x f(f(x)) implies substituting f(x) as x in above expression f(f(x)) = (1-(1/x) -1 )/(1-(1/x)) f(f(x)) = -1/(x-1) f(f(f(x))) = f(-1/(x-1)) Substituting 'x' as -1/(x-1) in f(x) f(f(f(x))) = 1 - (1/(-1/(x-1))) f(f(f(x))) = 1 + x -1 f(f(f(x))) = x So, Option A is correct

by Manasa3190

Fri Dec 28, 2018 7:56 pm
Forum: Problem Solving
Topic: If f(x)=1-(1/x), then f(f(f(x)))=?
Replies: 3
Views: 707

Distance traveled from X to Town Z = Speed*time
since, (speed = distance/time)

distance traveled = 50*60 miles/hour
the distance (d') between Z and Y is half the distance between X and Z
distance Z_Y = 150 miles

Time = distance/speed
time = 150/75
= 2 hours

by Manasa3190

Fri Dec 28, 2018 7:06 pm
Forum: Problem Solving
Topic: Scott takes a trip and drives 6 hours from Town X to Town Z
Replies: 3
Views: 537