Skip to main content

Infosys Sample Distance Calculation Questions

Question 1
A train starts from station P towards Q with certain speed. Due to a problem, after crossing 50km, the train slows down to 2/3 rd of its actual speed and it reaches Q 50 minutes later than the planned time. Suppose the technical problem had happened after crossing 60 km and the train would had reached 40 minutes late. What is the actual(original) speed of the train and what is the distance between P and Q ?
a)30km/hr, 100km b)20km/hr,80km c)40km/hr,150km d)50km/hr,150km
Answer : a)30km/hr, 100km
Solution:
Let the distance between P and Q be X and the speed initially be V.
Note that the train travels 50km with speed V and the remaining distance(X-50)km with speed 2/3 of V.
According to the above condition, with the formula " distance/speed = time", we can have
Time Taken For First 50 Km + Time Taken For Remaining (X-50) Km = Planned Time + Extra Time Due To Problem
[50/V]+[(X-50)/(2V/3)] = [X/V]+5/6 (here 50 minutes = 5/6 hours)
[100+3X-150-2X]/2V = 5/6
3X-5V = 150 ...eqn1
Suppose the technical problem had happened after crossing 60 km and the train would had reached 40 minutes late.
Using the same logic we used to arrive at eqn1, we get,
[60/V]+[(X-60)/(2V/3)] = [X/V]+2/3 (here 2/3 is for 40 minutes in hour.)
[120+3X-180-2X]/2V = 2/3
3X-4V = 180 ....eqn2
Solving eqn1 & eqn2, we get
X=100 & V=30
Hence the distance between P and Q is 100km and the actual speed of the train is 30km/hour.
Question 2
A train starts from A towards B with some velocity. Due to an engine problem, after travelling 3/8 of its journey, it slows to 3/5 of its actual velocity. The train reaches B 1 hour later than the actual planned time. If the engine had failed after travelling 80km and if it would had slowed down to 4/5th of its initial velocity for another 80km and covered remaining distance with 1/2 of its initial velocity, the train would had reached the destination one and half hours late. What is the distance between A and B in meters?
a)10000 b)48000 c)24000 d)52000
Answer : b)48000
Solution:
Let the distance between A and B be X and the speed initially be V.
The train travels 3X/8km with speed V and the remaining distance(X - 3X/8)km with speed 3/5 of V. Ultimately the train was late by 1 hour.
According to the above condition with the formula " distance/speed = time", we can have
[(3X/8)/V]+[(X-(3X/8))/(3V/5)] = [X/V]+1
[3X/8V] + 5(8X-3X)/24V = [X/V]+1
9X+25X-24X / 24V = 1
10X-24V = 0 ..........eqn1
According to the question, if the train travelled 80km with speed V, another 80km with 4/5 th of V and the remaining distance(X-160)km with speed 1/2 of V then
[80/V]+[80/(4V/5)]+[(X-160)/(1V/2)] = [X/V]+3/2
80/V + 100/V + (2X-360)/V = X/V + 3/2
X-180 / V = 3/2
2X-3V = 360 .........eqn2
solving eqn1 and eqn2
we have, X=480 and V=200
Thus the distance between A and B is 480km and the speed of the train is 200km/hour.
Hence 480km = 480000meters is the answer.
Question 3
A man rides a bike with speed V for a distance X km. After completing 1/2 of his journey he slows down to 1/2 of his initial speed and completes his ride half an hour late than planned time. What will be the ratio of the distance to the speed?
a)1:2 b)2:1 c)1:1 d)2:3
Answer : c)1:1
Solution:
Let the distance be X and the speed initially be V.
Using same logic as we used for previous two questions, we get,
X/2V + [X-(X/2)]/(V/2) = X/V + 1/2
X/2V + [4X-2X]/2V = X/V + 1/2
X/2V = 1/2
X = V or X/V = 1
Thus 1:1 is the required ratio.

Comments

Popular posts from this blog

AGRICULTURAL SCIENTIST RECRUITMENT BOARD

Agricultural Research Service

National
Eligibility Test/ Senior Research Fellowship Examination 

The Agricultural Scientists Recruitment Board (ASRB)
 holds a Competitive Examination for recruiting Scientists of the ARS in the pay scale of Rs. 8,000-13,500 in the ICAR Institutes, combined with National Eligibility Test (NET) for recruitment of Lecturers and Assistant Professors by the State Agricultural Universities (SAUS) and for award of ICAR Senior Research Fellowships.

The selected candidates for Agricultural Research Service must serve in the institutes to which they are posted until they find appointment for higher positions through selection at other institutes.

(i) Candidates successful in ARS are appointed as Scientists in the Indian Council of Agricultural Research in the pay scale of Rs. 8,000-13,500.

(ii) Candidates clearing the National Eligibility Test are recommended to various State Agricultural Universities who will consider them for appointment as Lecturers or Assistant Pro…

CIVIL SERVICES' (I.A.S.) EXAMINATION

The Union Public Service Commission (U.P.S.C.) conducts Civil Services' Examination once a year in two stages. The Preliminary Examination (Objective Type) for selection of candidates for the Main Examination is held in the month of May.

The Civil Services Main Examination
 is held in the months of October/November. Blank application forms and other particulars are published in the Employment News, generally in the month of December.

The last date for the submission of applications to the Secretary, Union Public Service Commission, Dholpur House, Shahjahan Road, NewDelhi-11001 1 is usually the last week of January of the year of examination.

The Combined Civil Services Examination is conducted for Recruitment to the following Services/Posts:

1. Indian Administrative Service.
2. Indian Foreign Service.
3. Indian Police Service.
4. Indian P & T Accounts & Finance Service, Group 'A'.
5. Indian Audit and Accounts Service, Group 'A'.
6. Indian Customs and Central Excise S…

HSC Exam Time Table 2013 Arts, Commerce, Science

HSC Exam Time Table 2013:- Date: 21 Feb 2013 (Thursday)

Paper: (Marathi / Gujarati / Kannada / Sindi / Malyalam / Tamil / Telugu / Punjabi / Bengali
Time: 11.00 am to 2.00 pm

Date: 22 Feb 2013 (Friday)

Paper: Hindi
Time: 11.00 am to 2.00 pm
Paper: German / Andhramagadhi / Persian
Time: 3.00 am to 6.00 pm

Date: 23 Feb 2013 (Saturday)

Paper: English
Time: 11.00 am to 2.00 pm

Date: 25 Feb 2013 (Monday)

Paper: Secretarial Practice
Time: 11.00 am to 2.00 pm
Paper: Physics
Time: 11.00 am to 2.00 pm
Paper: Political Science
Time: 3.00 am to 6.00 pm

Date: 27 Feb 2013 (Wednesday)

Paper: Book Keeping & Accoutancy
Time: 11.00 am to 2.00 pm
Paper: Chemistry (will Be held on 26 March)
Time: 11.00 am to 2.00 pm
Paper: Philosophy
Time: 3.00 am to 6.00 pm

Date: 1 March 2013 (Friday)

Paper: Mathematics & Statistics Paper (Revised)
Time: 11.00 am to 2.00 pm
Paper: Mathematics & Statistics - I (Commerce)
Time: 11.00 am to 1.00 pm
Paper: Sociology
Time: 3.00 am to 6.00 pm

Date: 2 March 2013 (Saturd…