Study Material on Quantitative Aptitude for SSC Combined Graduate Level (Tier 1) Exam, July 2012

The Questions in the Quantitative Segment are aimed to test the ability of appropriate use of numbers. The scope of the test will be computation of whole numbers, decimals, fractions & relationships between numbers; percentage & ratio, time & distance; profit, loss & discount; graphs of linear equations; basic algebraic identities; pie chart; trigonometric ratio, geometry etc.

Explaining the Concept of Time & Distance


Time and Distance Formulas relate Time, Distance and Speed. These relationships have several practical applications. It is observed that in all the Competitive Exams, questions based on the concept of Time & Distance are asked.

For example if you know the speed of any vehicle and the distance covered by that vehicle, then we can easily calculate the time taken in whole journey by using the formula of Time and Distance.
Important Formulas
 Speed =  Distance/Time ,Distance= Speed×Time, Time= Distance/Speed
 S km/hr =(s×5/18)m/sec
 S m/sec =(s×18/5)km/hr

Example:
Taj Express travelling at 5/11 of its actual speed covers 42 km in 1 hr 40 min 48 sec. Find the actual speed of the Taj Express.
Solution
Suppose the actual speed of Taj = S km/hr
Then new speed =  5/11× S
Time taken by Taj with new speed
 = 1 hr 40 min 48 sec
= 1hr+40 × 1/60 hr+48 × 1/(60×60)  [Because 1hr = 60 minutes,
                                                        1 minute =  60 Second,
                                                    & 1 minute = ( 1)/60  hr ,
                                                        1 Second =  1/60 minute ]                
                                              
= 1hr +2/3 hr + 1/75 hr
= 126/75 hrs
Now, according to the formula
New Speed × Time taken by Taj with new speed =
                                      Distance covered by Taj
 5/11 S× 126/75 = 42

 S = (42×75×11)/(126×5)

 S =55km/hr
Hence, the actual speed of the Taj Express is 55 km/hr

Points to remember about Time and Distance Segment Problems-

1. Read the units of time speed and distance carefully.
2. If the distance is given in km and the aped is in m/s then always convert the units. According to the demand of the question you can change the kilometer in to meter or m/s in to km /hr.

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