1. A tap can fill an oil tank in 15 hours. After half the oil tank is filled, nine more similar taps are opened. What is the total time taken to fill the oil tank completely?
(a) 8 hrs 15 min (b) 3 hrs 45 min (c) 4 hrs (d) 4 hrs 15 min
2. Two pipes can fill a tank in 10 hours and 12 hours respectively, while a third pipe empties the full tank m 20 hours. If all the three pipes operate simultaneously, in how much time will the tank be full?
(a) 7 hrs 15 mm (b) 7 hrs 30 mm (c) 7 hrs 45 mm (d) 8 hrs
3.One tap can fill a water tank four times as fast as another tap. If together the two taps can fill the water tank in 30 minutes then the slower tap alone will be able to fill the water tank in ----------------
(a) 81 min (b) 108 min (c) 150 min (d) 192 min
4.A can do a piece of work in 15 days .B is 50% more efficient than A. Then B can finish it in
(a)10 days (b) 7 1 /2 days (c) 12 days (d) 101/2 days
5. A does 20% less work than B. If A can finish a piece of work in 7 1 /2 hrs..Then B can finish it in
(a) 5 hrs (b) 51 /2 hrs (c) 6 hrs (d) 61 /2 hrs
6.A work twice as fast as B. If both of them can together finish a piece of work in 12 days ,then b alone can do it in ?
(a) 24 days (b) 27 days (c) 36 days (d) 48 days
7. A take 50% more time B to complete a work. If together they takes 18 days to finish it . How much time shall b take to do it alone? (a) 30 days (b) 35 days (c) 40 days (d) 45 days
8.Sumit is twice as good workman as Amit. Sumit finished a piece of work in 3 hours less than Amit. In how many hours could they have finished that piece of work working together? a] 2 .5 hr. b] 4 hr. c] 2 hr. d] 6 hr.
9. A can do a work in 9 days. If B is 50% more efficient to A, then in how many days can B do the same work? a] 13.5 b] 4.5 c] 6 d] 3
10. Some persons can do a piece of work in 12 days. Two times the number of such persons will do half of that work in. a] 6 days b] 4 days c] 12 days d] 3 days

1. Ramdin can reap a field in 30 days. What part of the field would he have reaped in 25 days? 2. If 12 men working 8 hours a day can construct a shed in 5 days, then in how many days will 8 men working 10 hours a day complete the same job? 3. Three ants separately can gobble a dead grasshopper in 3, 4 and 6 days respectively. How many days will they take together to finish off the poor chap? If the grasshopper weighs 63 grams, find the share of each. 4. If a chicken lays an egg and a half in a day. how long does it take to get a dozen eggs from a chicken? 5. A dozen pens cost 15 rupees. How much would a hundred pens cost? 6. 400 grams cake costs 80 rupees. How much would a 1.5 kg cake cost? 7. It rained 80 mm in first 20 days of April. What would be the total rainfall in April? 8. 50 grams of fish food is sufficient for 8 fish for a day. How much would 12 fish require in a day? 9. 50 grams of fish food is sufficient for 8 fish for a day. On the same amount of food, for how many days can 2 fish survive? 10. A man builds a chair in 4 days, working 6 hours a day. How many hours should he work in a day if he wants to do it in 3 days instead of 4 days? 11. Four men working together take 3 hours to paint a wall. How much time would 6 men take to do the same job? 12. A man earns Rs 18000 in 3 months.(a) How much time would he take to earn Rs 30000?(b) How much will he earn in 7 months? 13. Ram can build a table in 6 days while Shyam requires 8 days for the same work. Working together, (a) how many days would they require to construct 7 tables? (b) How many tables can they construct in 48 days? 14. A man and a woman working together can sow a field in 20/9 days. The man alone can do it in 4 days. How much time would the woman working alone take to sow the field?
Answers: 1. 5/6th 2. 6 days 3. 1 and 1/3 days, 28 grams, 21 grams, 14 grams 4. 8 days
5. Rs. 125 6. Rs. 300 7. can not say 8. 75 grams 9. 4 days 10. 8 hours per day 11. 2 hours 12. (a) 5 months (b) Rs 42000 13. (a) 24 days (b) 14 tables 14. 5 days
Answers:
1. (a) 2. (b) 3. (c) 4.(a) 5.(c)
6. (d) 7. (a) 8. (c) 9. c 10.(d)

Question:A plane can fly a certain distance in 5 hours against an 8-mile-per-hour headwind. Flying in the opposite direction with the same wind speed it can fly the same distance in 4 3/4 hours. Find the plane's airspeed, (which is the speed of the plane in still air). I need the answer soon.

Answers:Let V be the velocity of the plane in still air and W the velocity of the wind. Also note that velocity * time = distance. D = ( V - 8 ) ( 5 hours ) D = ( V + 8 ) ( 4.75 hours ) So ( V - 8 ) ( 5 ) = ( V + 8 ) ( 4.75 ) 5 V - 40 = 4.75 V + 38 .25 V = 78 V = 312 mph

Question:Need help, im pretty stumped here but i think im just missing something big. Trevor left the airport and traveled toward the supermarket. Kyle left 2.1 hours later traveling 35 mph faster in an effort to catch up to him. After 1.2 hours Kyle finally caught up. Find Trevor's average speed. any help is appreciated
Answers:let Trevor speed = x mph Kyle speed = x + 35 distance traveled by Kyle in 1.2 hours = (x+35)*1.2 = 1.2x + 42 distance traveled by Trevor in 3.3 (2.1 + 1.2) hours = 3.3x Therefore 1.2x + 42 = 3.3x 2.1x = 42 x = 42/2.1 = 20 x + 35 = 55 Trveor's speed = 20 mph

Question:A turtle is moving in a straight line at a steady pace for 3 hours. How far did the turtle travel? A car rolling down a ramp starts with a Speed of 50 cm/sec. The car keeps rolling and .5 seconds later the speed is 150 cm/sec. What is the acceleration of the car in cm/sec squared?
Answers:d = v * t so 3*v where v is in miles per hour vf = v0 + a*t 150 = 50 + a(0.5s) (100cm/s)/(0.5s) = 200cm/s^2

Question:Juliet and Mercutio are moving at constant speeds in the xy-plane. They start moving at the same time. Juliet starts at the point (0,-6) and heads in a straight line toward the point (10,5), reaching it in 10 seconds. Mercutio starts at (9,-14) and moves in a straight line. Mercutio passes through the same point on the x-axis as Juliet, but 2 seconds after she does. How long does it take Mercutio to reach the y-axis? The answer is 18.9 seconds. I have the problem set up but I don't understand how to incorporate the times.

1)A train covers a distance in 50 min ,if it runs at a speed of 48kmph on an average.The speed at which the train must run to reduce the time of journey to 40min will be.

2)Vikas can cover a distance in 1hr 24min by covering 2/3 of the distance at 4 kmph and the rest at 5kmph.the total distance is?
3)walking at ¾ of his usual speed ,a man is late by 2 ½ hr.the usual time is. 4)A man covers a distance on scooter .had he moved 3kmph faster he would have taken 40 min less. If he had moved
2kmph slower he would have taken 40min more.the distance is. 5)Excluding stoppages,the speed of the bus is 54kmph and including stoppages,it is 45kmph.for how many min does the bus stop per hr.
6)Two boys starting from the same place walk at a rate of
5kmph and 5.5kmph respectively.wht time will they take to be
8.5km apart, if they walk in the same direction
7)2 trains starting at the same time from 2 stations 200km apart and going in opposite direction cross each other ata distance of 110km from one of the stations.what is the ratio of their speeds. 8)Two trains start from A & B and travel towards each other at speed of 50kmph and 60kmph resp. At the time of the meeting the second train has traveled 120km more than the first.the distance between them
9)A thief steals a ca r at 2.30pm and drives it at 60kmph.the theft is discovered at 3pm and the owner sets off in another car at 75kmph when will he overtake the thief
10)In covering distance, the speed of A & B are in the ratio of 3:4.A takes 30min more than B to reach the destion.The time taken by A to reach the destinstion is.