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Ques:- There is a 50m long army platoon marching ahead. The last person in the platoon wants to give a letter to the first person leading the platoon. So while the platoon is marching he runs ahead, reaches the first person and hands over the letter to him and without stopping he runs and comes back to his original position. In the mean time the whole platoon has moved ahead by 50m. The question is how much distance did the last person cover in that time. Assuming that he ran the whole distance with uniform speed.
Recent Answer : Added by Admin On 2020-05-17 12:00:37:
The last person covered 120.71 meters.
It is given that the platoon and the last person moved with
uniform speed. Also, they both moved for the identical
amount of time. Hence, the ratio of the distance they
covered – while person moving forward and backword – are
equal.
Let’s assume that when the last person reached the first
person, the platoon moved X meters forward.
Thus, while moving forward the last person moved (50+X)
meters whereas the platoon moved X meters.
Similarly, while moving back the last person moved [50-(50-
X)] X meters whereas the platoon moved (50-X) meters.
Now, as the ratios are equal,
(50+X)/X = X/(50-X)
(50+X)*(50-X) = X*X
Solving, X=35.355 meters
Thus, total distance covered by the last person
= (50+X) + X
= 2*X + 50
= 2*(35.355) + 50
= 120.71 meters
Note that at first glance, one might think that the total
distance covered by the last person is 100 meters, as he
ran the total lenght of the platoon (50 meters) twice.
TRUE, but that’s the relative distance covered by the last
person i.e. assuming that the platoon is stationary.
Ques:- A car covers a distance of 624 km in 6 ½ hours. Evaluate its speed?
Recent Answer : Added by BRIAN On 2021-10-07 15:41:45:
S=D/T
S=624KM/6.5HRS
S=96KM/HR
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Day = Night
White = Black
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Ques:- 3 cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
Recent Answer : Added by Anna On 2021-10-22 09:13:17:
let a = 9 * 9 * 9;
let b = 12 * 12 * 12;
let c = 15 * 15 * 15;
sum = a + b + c;
edge = Math.cbrt(sum);
console.log(edge);
Ques:- if 1 is indicated by $ and 0 indicated by * find the value of {[LCM of 2,3,5]+6}1/2 ?
Recent Answer : Added by Admin On 2020-05-17 12:03:21:
First we need to find out LCM of 2,3,5
that is 30,,,
then add 30 to 6 we get 36…
then divide it by 2 we get 18..
so 18 would be written interms of binay as 10010
means..Answer is
$**$*
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Ques:- One of Mr. Horton,his wife,their son,and Mr. Horton's mother is a doctor and another is a lawyer.a)If the doctor is younger than the lawyer, then the doctor and the lawyer are not blood relatives.b)If the doctor is a woman, then the doctor and the lawyer are blood relatives.c)If the lawyer is a man, then the doctor is a man.Whose occupation you know?
Ques:- One train leaves Los Angeles at 15mph heading for New York. Another train leaves from New York at 20mph heading for Los Angeles on the same track. If a bird, flying at 25mph, leaves from Los Angeles at the same time as the train and flies back and forth between the two trains until they collide, how far will the bird have traveled?
Recent Answer : Added by Admin On 2020-05-17 12:01:54:
insufficient information distance between LA and NY is not
given it should be given to find the no solution
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Ques:- Mudit’s age 18 years hence will be thrice his age four years ago. What is Mudit’s present age?
Recent Answer : Added by DK BOSS On 2021-07-16 09:53:11:
Ans :15
X be a present age of mudit
After 18 year age of mudit is X+18
4 year ago age was X-4
As per question,
X+18=3(X-4)
X+18=3X-12
3X-X=18+12
2X=30
X=15
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Ques:- A man leaves office daily at 7:00 pm. A driver with car comes from his home to pick him from office and bring back home. One day he gets free at 5:30 and instead of waiting for driver he starts walking towards home.In the way he meets the car and return home on car. He reaches home 20 min earlier than usual.in how much time does the man reach home usually… ?
Recent Answer : Added by Admin On 2020-05-17 12:04:08:
8:20
Ques:- The number obtained by interchanging the two digits of a two-digit number is less than the original number by 45. If the sum of the two digits of the number so obtained is 13, then what is the original number?
Recent Answer : Added by keerthivasan On 2022-05-17 08:54:07:
let (xy) be original number.
then, 10y + x +45 = 10x + y; eq 1
and x + y = 13; eq 2
solve ab equation,
then xy = 94;
Ques:- Find out the wrong number in the series:
3, 7, 15, 27, 63, 127, 255
A. 7
B. 27
C. 63
D. 127
Recent Answer : Added by Yogesh On 2022-03-09 16:46:03:
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The last person covered 120.71 meters.
It is given that the platoon and the last person moved with
uniform speed. Also, they both moved for the identical
amount of time. Hence, the ratio of the distance they
covered – while person moving forward and backword – are
equal.
Let’s assume that when the last person reached the first
person, the platoon moved X meters forward.
Thus, while moving forward the last person moved (50+X)
meters whereas the platoon moved X meters.
Similarly, while moving back the last person moved [50-(50-
X)] X meters whereas the platoon moved (50-X) meters.
Now, as the ratios are equal,
(50+X)/X = X/(50-X)
(50+X)*(50-X) = X*X
Solving, X=35.355 meters
Thus, total distance covered by the last person
= (50+X) + X
= 2*X + 50
= 2*(35.355) + 50
= 120.71 meters
Note that at first glance, one might think that the total
distance covered by the last person is 100 meters, as he
ran the total lenght of the platoon (50 meters) twice.
TRUE, but that’s the relative distance covered by the last
person i.e. assuming that the platoon is stationary.