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Ques:- There is a leak in the bottom of a cistern. When the cisternis thoroughly repaired, it would be filled in 3 ? hours. It now takes half an hour longer. If the cistern is full, howlong will the leak take to empty the cistern?
A. 24 hours
B. 28 hours
C. 21 hours
D. 27 hours
E. None of these
Recent Answer : Added by DK BOSS On 2021-07-17 06:18:17:
Time taken to fill repaired cistern = 12 mins
In 1 min, pipe will fill = 1/12
Time taken to fill cistern with leak = 12 + 18 = 30 mins
In 1 min, it will fill = 1/30
Consider the leak as an outlet pipe, so
1/30 = 1/12 – [ in 1 min how much the outlet pipe leaks ]
= 1/12 – 1/30
= 5/60 – 2/60 = 3/60 = 1/20
Therefore, it will take 20 mins for the leak to empty the cistern
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Ques:- Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Ques:- A train of length 150 m takes 40.5 seconds to cross a tunnel of length of 300 m. The speed of the train (in km/hr) is
A. 13.33
B. 26.67
C. 38.32
D. 40
Recent Answer : Added by memo On 2023-01-10 14:35:10:
Since the total train length passed the tunnel so the distance would be the length of train added to the tunnel legth
D=150+300=450 mt.
speed = distance/time
speed = 450/(40.5/3600)
speed =40,000 mt/sec
Ques:- There is a escalator and 2 persons move down it.A takes 50 steps and B takes 75 steps while the escalator is moving down. Given that the time taken by A to take 1 step is equal to time taken by B to take 3 steps. Find the no. of steps in the escalator while it is staionary.
Recent Answer : Added by reniy On 2022-10-11 16:07:04:
16
Ques:- If the length of the train is 100m and its speed is 60km/h and another length of the train is 80km and its speed is 50km then its travelling in opposite direction. Find out the time of crossing each other(m/s)?
Recent Answer : Added by Syed Faizan On 2021-12-13 17:58:35:
43.69
Because the total distance will be =100+80000m=80100m. Thus two train coming towards, so the speed will be increase. speed will be =60+50=110km/h, The time of crossing will be 43.69 minutes.
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Ques:- There is six letter word VGANDA . How many ways you can arrange the letters in the word in such a way that both the A’s are together.
Recent Answer : Added by Admin On 2020-05-17 12:02:31:
120 (5×4!)
Ques:- 80% pass in english, 70%pass in maths , 10%fail in both , 144 pass in both . How many all appeared to the test?
Recent Answer : Added by Admin On 2020-05-17 12:01:09:
pass English =80%
fail=100-80=20%
pass Math = 70%
fail in Math=100-70=30%
fail in both=10%
total fail students= fail in Eng+fail in Math-common
= 20+30-10=40%
if 40% fail then 60% will pass
let total students=x
hence
60% 0f (total students)=144
60/100 of (x)= 144
x=(144×100)/60
X=240
total students=240
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Ques:- Two circles , one circle is inscribed and another circle is outscribed over a square. What is the ratio of area of inner to outer circle.
Recent Answer : Added by Admin On 2020-05-17 11:59:25:
1 : 2
Ques:- In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
Recent Answer : Added by Mehmood On 2021-06-14 17:01:24:
200 sconds
Ques:- A new apartment complex purchased 60 toilets and 20 shower heads. If the price of a toilet is three times the price of a shower head, what percent of the total cost was the cost of all the shower heads?
Recent Answer : Added by Abhishek Chabri On 2022-10-08 07:25:39:
10%
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Ques:- Some electrical engineering technical queston and some persnal data and completed project details.
Ques:- The cost of 17 apples, 9 oranges , 13 bananas is rs 130 , whereas cost of 13 oranges, 7 apples and 10 bananas is rs 100. find the cost of 1 apple , 1 banana and 1 orange put together?
Recent Answer : Added by Admin On 2022-09-27 18:08:58:
Let cost for apple be a Cost for banana be b and Orange be c
So by first value expression becomes 17a + 13b + 9c =130 ———-1 therefore if you further solve a = (130 – 13b – 9c)/17 ———- 2 the second expression becomes: 13c + 7a + 10b = 100 ———- 3 If you put value of a in second expression it becomes: 13c + 7[(130 – 3b – 9c)/17] +10b = 100
Further if you solve you get value of b:
b = 10 – 2c ———-4
put value of b from 4 in 1
17a + 13 [10 – 2c] + 9c = 130
Further if you solve you find value of a
a = c ———-5
Put 5 in 3
13c + 7c + 10b = 100
further solve you get: c = 1 ———-6
from 5 and 6
a = c = 1 ———-7
Substitute value of c in expression 4
b = 10 – 2c b = 10 -2 * 1 b = 8 ———-8
therefore a + b + c = 10
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Time taken to fill repaired cistern = 12 mins
In 1 min, pipe will fill = 1/12
Time taken to fill cistern with leak = 12 + 18 = 30 mins
In 1 min, it will fill = 1/30
Consider the leak as an outlet pipe, so
1/30 = 1/12 – [ in 1 min how much the outlet pipe leaks ]
= 1/12 – 1/30
= 5/60 – 2/60 = 3/60 = 1/20
Therefore, it will take 20 mins for the leak to empty the cistern