A water tank is provided with four outlet pipes of the same capacity evenly spaced out vertically one above the other. The first pipe is located at the point that is at the bottom level of the tank. The fourth pipe is located at three-fourths the height of the tank. The first outlet pipe can empty the full tank in four hours. There is also an inlet pipe which can fill the empty tank in one hour. The inlet pipe is opened to fill the empty tank and after one hour it is closed and then the outlet pipes are opened. Q1. In how many minutes would the tank be empty? Q2. When the tank is full, all the four pipes are opened simultaneously and closed after one hour. If the filling pipe is opened now. In how many minutes will the tank be full? Q3. A Can give a start to B 20mts and to C 30mts while B can give C 2 seconds start in a race of 250mts. How long does C take to run 100mts. Q4. 2. A, B, and C (working together) can paint a room in 6 hours less time than A working alone, one hour less than B working alone, and one-half the time needed for C working alone. Q5. A policeman, who is 80 m away from a thief, starts chasing him. The thief is running at a speed of 10 m/s. After exactly 8 seconds, the distance between them is 40 m. Find the policeman’s speed. Q6. Two trains for Delhi leave jaipur at 8:30 A.M and 9 A.M and travel at 60 and 75 km/hr respectively. How much km from Jaipur will the two trains meet? Q7. A Bus, an hour after starting, meets with an accident after which it proceeds at three-fifths of its former rate and arrives 3 hour late. But had the accident happened 50 km farther on the line, it would have arrived 1.5 hours late. Find the length of the journey? Q8. A Bus, an hour after starting, meets with an accident, which detains it for an hour, after which it proceeds at three-fifths of its former rate and arrives 3 hour late. But had the accident happened 50 km farther on the line, it would have arrived 1.5 hours late. Find the length of the journey? __________________
n/a |
|||
|
|
 |
Q6. Two trains for Delhi leave jaipur at 8:30 A.M and 9 A.M and travel at 60 and 75 km/hr respectively. How much km from Jaipur will the two trains meet?
a. 110km
b. 150km
c. 120km
d. 100km
Sol:
When the two trains will meet,1st train will take 1/2 hours i.e, 0.5 hrs. more than that of 2nd train for the same distance.Let the time taken by 2nd train be "t "hours.
For the same distance,
(t+0.5)x60=tx75
Solving will give the value of t=2 hours .
So,distance =2x75=150 km.
Ans:(b)
n/a
5.(d)
6.(b)
n/a
Q5. A policeman, who is 80 m away from a thief, starts chasing him. The thief is running at a speed of 10 m/s. After exactly 8 seconds, the distance between them is 40 m. Find the policeman’s speed.
a. 10.5 m/s
b. 16.67 m/s
c. 15 m/s
d. None of these
40/(x-10)=8
so x=15m/s
Little Star
n/a
Q1. c. 125
Q2. a. 42.5
Q3. a. 18.4 secs
Q4.
Q5 c. 15 m/s
Q6. b. 150km
Q7.
Q8. a. 800/9 km
n/a
Post new comment