Skip to main content

Accenture Sample Problems On Speed

Below are three problems dealing with speed and time calculations.

Question 1
Two buses leaving from two stations 20 km away from each other travel with constant speed of 45km/hr towards each other.Find the time taken to cross each other if the length of each bus is 100m.
a)10sec b)4sec c)15sec d)20sec
Answer : b)4sec
Solution :
The time taken to cross each other = (a + b) / (u + v) sec.
Here, a = b = length of the two buses = 100m = 1/10 km.
and u = v = speed of the two buses = 45km/hr.
Time taken to cross each other = (a + b) / (u + v) sec = (1/10 + 1/10) / (45 + 45) hours
1 / (10 x 90) = 1/900 hours.
since 1 hour = 3600 sec, 1/900 hour = 3600/900 = 4 sec
Hence the answer is 4 sec.

Question 2
A bus starts from A at 7 a.m and reaches the destination B at 7.30 a.m while a cyclist starts from B at 7 a.m and reaches A at 8.30 a.m. At what time the bus and the cyclist will cross each other?
a)7.34 a.m b)7.49 a.m c)7.23 a.m d)8.01 a.m
Answer : c)7.23a.m
Solution :
Let the distance between A and B is X km
Time taken by the bus to cover X km = 1/2 hour .(i.e., 7 a.m to 7.30 a.m)
Time taken by the cyclist to cover X km = 3/2 hour (i.e., 7 a.m to 8.30 a.m)
Speed = distance / time
Speed of the bus = X / 1/2 = 2X km/hr
And the speed of the cyclist = X / 3/2 = 2X / 3 km/hr.
Let they meet at point C at Y hours after 7 a.m.
Distance covered by the bus in Y hours = Speed X Time = 2XY km = AC
And the distance covered by the cyclist in Y hours = Speed x Time = 2XY/3 km = BC
Since C is the point where Bus and Cyclist cross each other, AC + BC = AB
In other words, 2XY + (2/3)XY = X
Y(2 + 2/3) = 1
Y = 3/8 hours.
Expressing in minutes, Y = 3/8 x 60 minutes = 22.5 minutes
Y = 23 minutes (approximately)
Therefore they meet at 7 a.m + 23 minutes = 7.23 a.m
Hence the answer is 7.23 a.m.

Question 3
A man rides a bike with a constant speed of 20 km/hr from A at 4 p.m and travels towards a destination B. Another rider with a speed of 25 km/hr starts from B at 5 p.m and travels towards A. If the straight distance between A and B is 110km then at what time they will meet?
a)7 p.m b)8 p.m c)7.30 p.m d)6 p.m
Answer : a)7 p.m
Solution :
Let the two riders meet at X hours after 4 p.m.
Speed of the first rider is 20km/hr and the distance covered by him in X hours = 20X km
Speed of the 2nd rider is 25 Km/hr and he starts at 5 p.m.
Distance covered by him in (X - 1) hours = 25(X - 1) km
Distance between A and B is 110km.
Therefore 20X + 25(X - 1) = 110
45X = 135
X = 135/45 = 3
So they meet at 3 hours after 4 p.m.
Hence the answer is 7 p.m.
Labels:

Comments

Post a Comment

Your Comment Here!.....

Popular posts from this blog

Cognizant Company Profile and it's information for Interview

Website: www.cognizant.com HQ Teaneck, NJ Industry Information Technology Services Size 130K+ Employees, $6B+ Revenue NASDAQ CTSH Competitors Infosys, Wipro, Tata Consultancy Services   About cognizant Cognizant Corporate view: Cognizant is an American multinational IT services and consulting corporation headquartered in Teaneck, New Jersey, United States. Cognizant has been named to the 2010 Fortune 100 Fastest-Growing Companies List for the eighth consecutive year. Cognizant has also been named to the Fortune 1000 and Forbes Global 2000 lists. It has consistently ranked among the fastest growing companies including the 2010 Business Week 50 list of the top-performing U.S. companies, the Business Week Hottest Tech Companies 2010, and the Forbes Fast Tech 2010 list of 25 Fastest Growing Technology Companies In America. Founded: 1994 Headquarters: Teaneck, New Jersey, U.S. Key people:  Francisco D'Souza (President & CEO) Lakshmi Naray...
Post a Comment
Read more

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 Centr...
1 comment
Read more

Infosys delays 17,000 campus recruitment offers

Bangalore: With a challenging environment, and low visibility into client spend, Infosys has said that it will be deferring joining dates, and the management is also putting some cost saving measures in place, reports Shreya Roy of CNBC-TV18. Infy had decided that with its current business needs in mind it will defer its campus recruitment process. The company had initially made 27,000 campus offers, but now the company says that 17,000 of these will be deferred by up to three months. However, the firm has reiterated that it plans to honour each of these offers in due course of time. In fact the company which prided itself on a six-month long extensive training programme for fresh intakes has also decided to cut the period short by two months, four months of this training programme will be conducted at its sprawling Mysore campus, while two months will be an online programme. With a challenging environment, and low visibility into client spend, Infy said it will delay...
1 comment
Read more