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.
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A. 3 : 1
B. 3 : 2
C. 4 : 3
D. 5 : 3
Recent Answer : Added by bing chilling On 2022-01-19 15:38:41:
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Ques:- If the numbers from 1 to 24, which are divisible by 2 are arranged in descending order, which number will be at the 8th place from the bottom?
A. 18
B. 16
C. 12
D. 10
Recent Answer : Added by Ferro On 2022-11-18 16:02:49:
1 through 24, divisible by 2 in descending order.
That leaves you with:
24, 22, 20, 18, 16, 14, 12, 10, 8, 6, 4, 2
8th place FROM the bottom means your answer will be 16.
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A. 918
B. 308
C. 283
D. 279
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Ques:- A positive number when decreased by 2 is equal to 15 times the reciprocal of the number. What is the number ?
Recent Answer : Added by Abhi Chatterjee On 2022-01-08 16:05:35:
Let the number be x.
So x-2 =15/x, or
x^2–2x-15=0, or
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The number is 5 or -3.
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D. Adam Lee
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Recent Answer : Added by Admin On 2022-09-29 17:23:19:
One day’s work of A, B and C = (1/24 + 1/30 + 1/40) = 1/10.
C leaves 4 days before completion of the work, which means only A and B work during the last 4 days.
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Ques:- A train 100 meters long passes a platform 100 meters long in seconds. The speed of the train is
A. 36 km/hr
B. 52 km/hr
C. 72 km/hr
D. 92 km/hr
Recent Answer : Added by ThinkAlike On 2022-03-09 16:31:07:
= 100 + 100 = 200 m
Time taken by train = 10 sec.
∵ Speed = Distance/Time
⇒ Speed of train = 200/10 = 20 m/sec.
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In question they left 10 seconds
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Recent Answer : Added by Vipul Shukla On 2022-01-08 16:05:02:
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Bcz 3×3=9
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7×3=21
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Avg of this 45/3 = 15
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Recent Answer : Added by Aishwarya Gupta On 2020-11-17 15:27:28:
600
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B. 0
C. 1
D. 128
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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.