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.
Ques:- there is number X in decimal represntation whose last digit is not 0. if digits of X are reversed then we obtain new number say Y. both X and Y are divisible by 7. then find all such X from 10 to 1000.
Recent Answer : Added by olebon On 2021-10-25 03:53:35:
77
Ques:- If you were hiring a person for this job, what would you look for?
Ques:- Connect all these dots using 4 continuous lines.one clue ucan extend the line after the points also.2.one basket contains apples,second basket contains orangesand third basket contains apples and oranges the labels arewrongly mentioned.pick one fruit from one of these basketand find which basket contain which fruits.
Ques:- Find 4 numbers such that sum of every 2 and sum of all 4 are perfect squares.
Ques:- Satheesh started a business investing Rs.60000. After 3 months, Sunil joined him with a capital of Rs.75000. After another 6 months, Subhash joined them with a capital of Rs.105000. At the end of the year, they made a profit of Rs.19000. Find the share of each.
A. Rs. 8000, Rs. 7500, Rs. 3500
B. Rs. 8000, Rs. 6500, Rs. 4500
C. Rs. 8500, Rs. 7000, Rs. 3500
D. Rs. 8500, Rs. 6500, Rs. 4000
Recent Answer : Added by Admin On 2022-09-25 04:07:47:
A. Rs. 8000, Rs. 7500, Rs. 3500
Ques:- What are the dimensions of the standard brick?
Ques:- How many times do the hands of a clock point towards each other in a day?
A. 12
B. 20
C. 22
D. 24
Recent Answer : Added by narendra On 2022-09-18 09:03:29:
22
Ques:- A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
Recent Answer : Added by dumeel kuppam vavvaalu On 2021-08-25 14:15:33:
From the first statement
Speed=distance/time
=>240/24=10m/s
so speed=10m/s
From the second statement
distance=length of the platform+length of the train=650+240=890m
Time=distance/speed
here, the speed of the train is already calculated
=>890/10=89s
So the time taken by the train to cross the platform is 89 seconds
Ques:- A merchant has 140 litres, 260 litres, 320 litres of three kinds of oil. He wants to sell the oil by filling the three kinds separately in tins of equal volume. The volume of such a tin will be
A. 13 litres
B. 16 litres
C. 20 litres
D. 70 litres
Recent Answer : Added by anonymous On 2022-03-09 16:38:05:
20 litres
cos
140 280 320 liters oil are exactly fittable in 20 litred tin
Ques:- How do you feel about your career so far?
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Ques:- How does this particular position and job fit in with your career goals?
Ques:- If employed, how do you manage time for interviews?
Ques:- Rs. 800 becomes Rs. 956 in 3 years at a rate of S.I. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years?
Recent Answer : Added by Sanketsinh Rathod On 2021-10-22 09:13:12:
1052
Ques:- Find out the wrong number in the series:
64, 71, 80, 91, 104, 119, 135, 155
A. 71
B. 80
C. 104
D. 135
Recent Answer : Added by Anjun On 2022-08-24 17:03:38:
135 is wrong because from starting difference between 7 after that 9 after 11 ,13,17 and so on
Ques:- How many possible combinations are there in a 3x3x3 rubics cube? In other words, if you wanted to solve the rubics cube by trying different combinations, how many might it take you (worst case senerio)? How many for a 4x4x4 cube?
Ques:- Find the missing number of the series 0, 1, 8, 27, 64, ….. ?
Recent Answer : Added by sindhu On 2020-12-11 16:37:22:
125
Ques:- Complete the series: 2, 5, 9, 19, 37, ……
A. 72
B. 74
C. 75
D. 76
Recent Answer : Added by PRASHANT YADAV On 2022-09-28 17:42:49:
75
Ques:- 99 ? 11 + 7 x 16 = (?)2
Recent Answer : Added by Admin On 2020-05-17 12:03:35:
( a ) 11
Ques:- The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
Recent Answer : Added by Yash Bhardwaj On 2022-09-15 16:36:40:
4%
Ques:- Pipes P and Q would fill a cistern 18 and 24 minutes respectively. Both pipes being opened, find when the first pipe must be turned off so that the cistern may be just filled in 12 minutes?
Recent Answer : Added by Shamruthi On 2021-10-02 15:45:25:
P’s one min work=1/18
Q’s one min work=1/24
P’s x min work+Q’s 12 min work = tank fully filled ( 1 )
x(1/18)+12(1/24)=1
x=9 min
Ques:- If he sells 40 mangoes, he will get the selling price of 4 mangoes extra, What is his percentage increase in profit ?
Recent Answer : Added by Admin On 2020-05-17 12:02:06:
I have seen a few say 25% as an answer to this. But looks
like their math isn’t good and is extremeley complex to
have an asnwer of 25% to this question. Consider – Rs.1.00/-
per mango; so 40 mangoes = Rs.40.00/-, implies Rs.4.00/-
extra at the end of the deal. So he’s left with Rs.44.00/-
after selling 40 mangoes implies a profit of Rs.4.00/- over
Rs.40.00 = 44/40 = 110% which means his profit is 10%.
Hope this helps…
Thanks.
Ques:- Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
Ques:- A certain amount of money at X% compounded annually after two and three years becomes Rs 1440 and 1728 respectively. X is?
Ques:- To permit operations of private life insurance companies in India, Government of India revised the Insurance Regulatory and Development Authority (IRDA) Act in the year 1992 1983 2004 2001?
Ques:- What where the things you have done in your College days?
Ques:- Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
Recent Answer : Added by Prachi Bees On 2021-12-10 16:35:10:
In the example first we have to find the area of the field
we have given the following values ,
cost of fencing per meter = Rs 1.50
Diameter of circular field = 28
We have to find the area , a = ?
We know that,
Area = 2 π r
= 2 x 22/7 x 14
= 2 x 22 x 2
= 44 x 2
= 88 sq. m
So, area of circle is 88 sq.m
Now just multiply it with 1.50
cost of fencing = 88 x 1.50
= Rs. 132
So, the cost of fencing the circular field is Rs. 132
Ques:- Find the least number with which 16200 should be multiplied, to make it a perfect cube.
Recent Answer : Added by Atif On 2022-12-05 16:13:24:
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.