Ques:- Two trains of equal length when moving in opposite direction takes 5 sec. to cross each other completely and when moving in same direction takes 15 sec. Find the ratio of their speed.
Recent Answer : Added by Deven Sharma On 2023-05-31 18:18:48:
Let’s assume the length of each train is ‘L’ and the speeds of the two trains are ‘V₁’ and ‘V₂’ respectively.
When the trains are moving in the opposite direction, their relative speed is the sum of their individual speeds. The total distance they need to cover is the sum of their lengths. Since they cross each other completely in 5 seconds, we can set up the following equation:
(V₁ + V₂) × 5 = 2L
When the trains are moving in the same direction, their relative speed is the difference between their individual speeds. The total distance they need to cover is the difference between their lengths. Since they cross each other completely in 15 seconds, we can set up the following equation:
(V₁ – V₂) × 15 = 2L
Now, let’s solve these equations to find the ratio of their speeds.
From the first equation, we have:
(V₁ + V₂) × 5 = 2L
V₁ + V₂ = (2L) / 5
From the second equation, we have:
(V₁ – V₂) × 15 = 2L
V₁ – V₂ = (2L) / 15
Now, let’s substitute this value back into the first equation to find V₂:
(4L) / 15 + V₂ = (2L) / 5
V₂ = (2L) / 5 – (4L) / 15
V₂ = (6L – 4L) / 15
V₂ = (2L) / 15
Therefore, the speed of the second train is (2L) / 15.
The ratio of their speeds is given by:
(V₁ / V₂) = ((4L) / 15) / ((2L) / 15)
(V₁ / V₂) = 4L / 2L
(V₁ / V₂) = 2
So, the ratio of their speeds is 2:1.
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Ques:- one man driving a car in a lonely forest .. it was raining at that moment …suddenly one of the car tyre got punchured…and he is having stephiny in his car …he gets it and he tried to fix that stephiny…when he removes the bolts of punchred tire all are gone into mud…all bolts… fell into mud…and that bolts he never get…then, how can he reach safely to home… by driving his car..?
Recent Answer : Added by Admin On 2020-05-17 12:03:16:
he removed one bolt in each three wheels
and fixed the bolts in stephiny wheel
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Recent Answer : Added by vinita On 2022-08-14 16:33:16:
4 mins
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Ques:- A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook?
Recent Answer : Added by Admin On 2022-09-29 19:24:04:
According to the question:
⇒(x+5)(y−10)=300
⇒xy+5y−10x−50=xy
⇒5×300−10x−50=0
⇒−150+x2+5x=0
⇒x2+15x−10x−150=0
⇒x(x+15)−10(x+15)=0
⇒x=10 or −15
Price cannot be negative
So, As x>0,x=10.
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Recent Answer : Added by DK BOSS On 2021-07-30 16:26:33:
Employee Performance Standards. Employee performance measurements can determine an employee’s compensation, employment status or opportunities for advancement.
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Ques:- The average salary of workers in an industry is Rs.200 the average salary of technicians being Rs.400 and that of non-technicians being Rs.125. What is the total number of workers?
Recent Answer : Added by Ranjit On 2022-08-14 16:35:57:
Please let me know answer.
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Recent Answer : Added by Sudeshna Roy On 2022-08-24 17:03:05:
Artificial silk
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Ques:- In a triangle two angles are in a ratio of 5:3 and the difference of the angles is 30 degrees. Find out the largest angle in the triangle
Recent Answer : Added by S pushpa On 2021-06-17 10:44:18:
Let A=5x,B=3x,C not given so consider C=x
In triangle total angle=180°
A+B+C=180°
5x+3x+x=180°
9x=180°
X=180°/9
X=20°
A=5(20)=100°
B=3(20)=60°
C=20°
Therefore A=100° is the largest angle
Ans: 100°
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Ques:- Currently, the age of a father is three times that of his son. 2.5 years from now, age of the father becomes 2.5 times that of the son. The age of son currently is?
Recent Answer : Added by Bhagirathi H On 2022-09-15 16:37:05:
Fathers before age=3*before sons age—-(1)
After 2.5 years..
Fathers before age+2.5 years =2.5*sons age—-(2)
Substitute (1) in (2),
3*sons before age+2.5 years=2.5*sons age
0.5*sons age=2.5 years
Sons before age=5years
So current age after 2.5 years,
Sons before age+2.5 =5+2.5=7.5 years
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Recent Answer : Added by Admin On 2020-05-17 12:02:01:
If the bell rung when they r started is also counted then it
will be 5 otherwise 4
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Ques:- What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?
Recent Answer : Added by Felipe On 2021-12-17 16:08:28:
Let the principal be P and rate of interest be R%.
Therefore Required ratio
Let’s assume the length of each train is ‘L’ and the speeds of the two trains are ‘V₁’ and ‘V₂’ respectively.
When the trains are moving in the opposite direction, their relative speed is the sum of their individual speeds. The total distance they need to cover is the sum of their lengths. Since they cross each other completely in 5 seconds, we can set up the following equation:
(V₁ + V₂) × 5 = 2L
When the trains are moving in the same direction, their relative speed is the difference between their individual speeds. The total distance they need to cover is the difference between their lengths. Since they cross each other completely in 15 seconds, we can set up the following equation:
(V₁ – V₂) × 15 = 2L
Now, let’s solve these equations to find the ratio of their speeds.
From the first equation, we have:
(V₁ + V₂) × 5 = 2L
V₁ + V₂ = (2L) / 5
From the second equation, we have:
(V₁ – V₂) × 15 = 2L
V₁ – V₂ = (2L) / 15
Let’s add these two equations together:
V₁ + V₂ + V₁ – V₂ = (2L) / 5 + (2L) / 15
2V₁ = (6L + 2L) / 15
2V₁ = (8L) / 15
V₁ = (4L) / 15
So, the speed of the first train is (4L) / 15.
Now, let’s substitute this value back into the first equation to find V₂:
(4L) / 15 + V₂ = (2L) / 5
V₂ = (2L) / 5 – (4L) / 15
V₂ = (6L – 4L) / 15
V₂ = (2L) / 15
Therefore, the speed of the second train is (2L) / 15.
The ratio of their speeds is given by:
(V₁ / V₂) = ((4L) / 15) / ((2L) / 15)
(V₁ / V₂) = 4L / 2L
(V₁ / V₂) = 2
So, the ratio of their speeds is 2:1.