Question
Train 'A' takes 25 seconds to pass a stationary pole and
32 seconds to cross a bridge that is 112 meters long. When moving in opposite directions, train 'A' crosses train 'B' in 20 seconds. If train 'B' has a length of 200 meters, determine its speed.Solution
Distance covered by train 'A' in 25 seconds = length of train 'A'
Distance covered by train 'A' in 32 seconds = length of train 'A' + 112 metres
So, distance covered by train 'A' in (32 - 25) i.e. 7 seconds = 112 metres
So, speed of train 'A' = 112 ÷ 7 = 16 m/s
Length of train 'A' = 16 X 25 = 400 metres
Let the speed of train 'B' = 'x' m/s
When travelling in opposite directions, relative speed of train 'A' w.r.t train 'B' = (16 + x) m/s
We have, (400 + 200) ÷ (16 + x) = 20
(16 + x) = 600 ÷ 20 = 30
So, x = 30 - 16 = 14
Therefore, speed of train 'B' = 14 m/s
A and B together can finish a work in 10 days. If A alone can finish it in 25 days, in how many days can B alone finish it?
A man, a woman and a boy can do a work in 4, 8, 16 days respectively. How many boys were required with 1 man and 1 woman to complete the same work in 1/...
A man is thrice as fast as a women and a woman is twice as fast as a boy. If all of them can do a work in 18 days. than a boy can do the work in?
x men can finish a work in y days. 0.9x women can finish 1/3rd of the same work in (y - 8) days. If 0.8x women can complete 1/3rd work in 36 days. Find ...
'Ramesh' can complete a work in 40 days. He started the work and left after 24 days from starting. The remaining work was done by 'Suresh' in 30 days. F...
A and B finish a job together in 36 days, while B and C together finish it in 48 days. The trio completes 75% of the job in 18 days. In how many days wi...
There is enough food in a camp to last for 50 days if each of the 40 soldiers present at the camp eat 2 times a day. After 20 days, 40 more soldiers jo...
- Suppose D, E and F can do a piece of work individually in 18, 27 and 36 days respectively. If they combine and work for 4 days, what percentage of work wou...
- A builder employed 12 workers to complete a job in 18 days. But after 8 days, 4 workers quit. How many more days will be required to complete the remaining...
Twenty laborers can complete a piece of work in 12 days. If 20 laborers started working and after 3 more days, additional laborers joined to complete th...