PROBLEMS ON SPEED , DISTANCE & TIME - GMAT

Q 1:Nancy when increased her speed from 24kph to 30kph she takes one hour less than the usual time to cover a certain distance. what is the distance usually covered by nancy?
A) 160 KM B)240 KM C)120 KM D)90 KM
Q 2: A fast moving superfast express cross another passenger train in 20 sec. The speed of faster train is 72kph and speed of slower train is 27kph.Also the length of faster is 100m ,then find the length of the slower train if they are moving in the same direction.
A) 120m B)130m C)140m D)150m
Q 3: A can give B a 200m stratup and C a 300m startup in a race of 1km. how many metres startup can B gives to C in a 1km race.
A)110m B)112m C)120m D)125m
Q 4: In a one km race A gives B a start of 100m and in a one km race B gives a start of 80 m to C. In a 1 km race who will win and by how much distance from the worst performer between two losers ?
A) 20m B)120m C)162m D)172m
Q 5: A train crosses a man coming from the opposite side direction in 7.5seconds. If the speed of a man be 10m/s and speed of train is 20m/s , find the length of the train.
A)200m B)210m C)220m D)225m

Q 6: A train approaches a tunnel AB. Inside the tunnel a cat located at a point i.e, 5/12 of the distance AB measured from the entrance A. When train whistles, the cat runs. If the cat moves to the entrance of the tunnel A, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. The speed of the train is greater than the speed of the cat by what order ?
A)6/1 B)5/2 C)7/3 D)9/5
Q 7: Walking 4/5 of my usual speed , I reach the bus stop 14 minutes late .What is my usual time ?
A)56 minutes B)57 minutes C)58 minutes D)59 minutes
Q 8: A moving object covers the distance from A to B @80kph without stoppage . Again, another moving object covers the same distance @60kph , with stoppage .Find the stoppage time per hour .
A)11minutes/hr B)12minutes/hr C)15minutes/hr D)17minutes/hr
Q 9: A train of length 160mis moving @of 81kph. A person is sitting inside the train. How long does the person take to cross another train of length 150m which is moving @27kph in the opposite direction ?( The position of the person inside the train is not known)
A)2 seconds B)5 seconds C)7 seconds D)9 seconds
Q10: A train travelling 25kph leaves delhi at 9 AM and another train travelling 35kph starts at 2PM in the same direction. How many km from DELHI will they be together ?
A)425 2/3km B)437km C)437 1/2km D)439 3/4km

ALZEBRA PROBLEMS - GMAT

Q1: If Lynn can type a page in p minutes, what piece of the page can she do in 5 minutes?

a) 5/p
b) p - 5
c) p + 5
d) p/5
e) 1- p + 5

Q2 : If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

a) 2 hours and 24 minutes
b) 3 hours and 12 minutes
c) 3 hours and 44 minutes
d) 4 hours and 10 minutes
e) 4 hours and 33 minutes

Q3 : Employees of a discount appliance store receive an additional 20% off of the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost $450

a) $280.90
b) $287
c) $292.50
d) $306
e) $333.89

Q4 : The sales price of a car is $12,590, which is 20% off the original price. What is the original price?

a) $14,310.40
b) $14,990.90
c) $15,290.70
d) $15,737.50
e) $16,935.80

Q5 : Solve the following equation for A : 2A/3 = 8 + 4A

a) -2.4
b) 2.4
c) 1.3
d) -1.3
e) 0

Q6 : If Leah is 6 years older than her sister, Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue?

a) 8
b) 10
c) 14
d) 19
e) 21

Q7 : Alfred wants to invest $4,000 at 6% simple interest rate for 5 years. How much interest will he receive?

a) $240
b) $480
c) $720
d) $960
e) $1,200

Q8 : Jim is able to sell a hand-carved statue for $670 which was a 35% profit over his cost. How much did the statue originally cost him?

a) $496.30
b) $512.40
c) $555.40
d) $574.90
e) $588.20

Q9 : The city council has decided to add a 0.3% tax on motel and hotel rooms. If a traveler spends the night in a motel room that costs $55 before taxes, how much will the city receive in taxes from him?

a) 10 cents
b) 11 cents
c) 15 cents
d) 17 cents
e) 21 cents

Q10 : A student receives his grade report from a local community college, but the GPA is smudged. He took the following classes: a 2 hour credit art, a 3 hour credit history, a 4 hour credit science course, a 3 hour credit mathematics course, and a 1 hour science lab. He received a “B” in the art class, an “A” in the history class, a “C” in the science class, a “B” in the mathematics class, and an “A” in the science lab. What was his GPA if the letter grades are based on a 4 point scale? (A=4, B=3, C=2, D=1, F=0)

a) 2.7
b) 2.8
c) 3.0
d) 3.1
e) 3.2