Language

Bookmark

# Maths ki Class: Problem on Trains

Trains is very common topic found in almost all exams like SSC CGL, SSCL MTS and SSC-CPO as well as various banking sector exams.

Conversion Formula:

2. m/s to km/hr conversion:

Formulas for finding Speed, Time and Distance

3. Time taken by a train of length l metres to pass a pole or standing man or a signal post is equal to the time taken by the train to cover l metres.

4. Time taken by a train of length l metres to pass a stationery object of length b metres is the time taken by the train to cover (l + b) metres.

5. Suppose two trains or two objects bodies are moving in the same direction at u m/s and v m/s, where u > v, then their relative speed is = (u - v) m/s.

6. Suppose two trains or two objects bodies are moving in opposite directions at u m/s and v m/s, then their relative speed is = (u + v) m/s.

7. If two trains of length a metres and b metres are moving in opposite directions at u m/s and v m/s, then:

8. If two trains of length a metres and b metres are moving in the same direction at u m/s and v m/s, then:

9. If two trains (or bodies) start at the same time from points A and B towards each other and after crossing they take a and b sec in reaching B and A respectively, then:

(A's speed) : (B's speed)

Solved Example

X and Y are two stations 390 km apart. M train starts from X at 4 p.m. and travels towards Y at 65 km/h. Another train N starts from Y at 5 p.m. and travels towards X at 35 km/h. At what time do they meet?

Solution: Distance b/w X & Y = 390km

Speed of train M= 65 km/h

Speed of train N= 35 km/h

Total distance need to cover = 390 km

Hence, Total distance, Distance cover by M + Distance covered by N =390 km------- (1)

Let us assume M takes T time, starting 4 p.m.

Now, Distance covered by M = Speed of M × Time taken ⇒ 65t ------ (2)

So if M takes t time then N will take (t-1), because M started 1 hour before.

Distance covered by N = Speed of M × Time taken ⇒ 35(t-1) ----- (3)

Put in equation (1)

65t + 35(t-1) = 390

65t + 35t – 35 = 390

100t = 425

t = 4.25 hours or 4hrs 15 minutes

So they will meet after 4hrs 15 min, at 6:15 PM.

### See Cut Off

#### Integrated Scheme for Development of Silk Industry for sericulture sector approved

Integrated Scheme for Development of Silk Industry for sericulture sector approved The Union Cabinet on March 21 approved "Integrated Scheme for Development of Silk Industry" for sericulture sector with an outlay of Rs 2,161.68 crore for three years ...

9 months ago

#### Cabinet approves Ayushman Bharat – National Health Protection Mission

Cabinet approves Ayushman Bharat – National Health Protection Mission National Health Protection Mission (NHPM) has been launched with the mission to providing health cover to 10 crore poor families. It is regarded as the world’s largest ...

9 months ago

#### World Water Day 2018: 22 March

World Water Day 2018 The issue of water scarcity was first raised in the UN Conference on Environment and Development held at Rio De Janerio (Brazil) in 1992. Since 1993, UN celebrates it every year on 22 March and every year a particular water relat ...

9 months ago

#### SSC CHSL 2016 Final Marks Released: Check Here

Staff Selection Commission declared the Final Result of Combined Higher Secondary Level (10+2) Examination, 2016 on 16.02.2018. Now the Commission has decided the upload the marks of 26658 candidates who appeared in Typing Test/Skill Test in CHSL Exa ...

9 months ago

#### Evening News Digest : 21 March 2018

Governor of Bihar gets additional charge of Governor of Odisha Bihar Governor Satya Pal Malik was given additional responsibility of Odisha after S C Jamir completed his five-year tenure. Bihar governor will have additional responsibility of Odisha ...

9 months ago

#### One Liners of the Day : 22 March 2018

National Govt. has approved setting up of a Plastic Park at a cost of Rs 120 crore in - Deoghar District, Jharkhand It has become the World’s First Trusted Digital Repository - National Cultural Audio Visual Archives The book released by India ...

9 months ago