Thursday, June 18, 2015

Shortcut Tricks on Time and Distance for SSC Exams

Hello Readers,
If you want to solve problems related to Time and Distance using tricks, this post is for you. Here, please note that we are not providing you the tricks of Boats & Streams in this post. This post only cover the tricks related to Time and Distance.

 Shortcut Tricks on Time and Distance
Speed - we can define speed as the distance covered by an object in unit time.

How to convert km/h into m/s?
In order to convert any quantity from km/h to m/s, just multiply the given quantity with (5/18).  

How to convert m/s into m/s?
For converting any given quantity from m/s to km/h , just multiply the given quantity with (18/5).

Tricks for solving Some Typical Question

Type-1 : If some distance is travelled at x km/hr and the same distance is travelled at y km/hr then the average speed during the whole journey is given by:

Type-2: If a person travels a certain distance at x km/hr and returns at y km/hr, if the time taken to the whole journey is T hours then the one way distance is given by

Type-3: If two persons A and B start their journey at the same time from two points P and Q towards each other and after crossing each other they take a and b hours in reaching Q and P respectively, the

Type-4: If the same distance is covered at two different speeds S1 and S2 and the time taken to cover the distance are T1 and T2, then the distance is given by

Questions for Practice
Q1. John goes from his home to school at the speed of 2 km/hr and returns at the speed of 3 km/hr. What is his average speed during whole journey in m/sec?
  1.  .57 m/sec
  2. 2.4m/sec
  3. .67 m/sec
  4. .64 m/sec          
Q2. Mr Samson goes to market at the speed of 10 km/hr and returns to his home at the speed of 15 km/hr. If he takes 3 hours in all, what is the distance between his home and market?
  1. 12 km
  2. 14 km
  3. 18 km
  4. 16 km
 Q3. two persons Ram and Lakhan start their journey from two different places towards each other’s place. After crossing  each other, they complete their journey in 1 and 4 hours respectively. Find speed of Lakhan if speed of ram is 20 km/hr.
  1. 10 km/hr
  2. 12 km/hr
  3. 16 km/hr
  4. 18 km/hr
Q4. Two trucks travel the same distance at the speed of 50 kmph and 60 kmph. Find the distance when the distance when the time taken by both trucks has a difference of 1 hour?
  1. 200 km
  2. 300 km
  3. 250 km
  4. 400 km

Answers along with Explanation
  1. (3)
    Let’s say x = 2 km/hr
    And y = 3 km/hr, so

    Now, average speed in m/sec
    = 2.4*(5/18) = .67m/sec
  2. (3)
    Let’s say x = 10 km/hr
    y = 10 km/hr, and
    T = 3 hrs, then

    So the distance between home and market is 18 km.
  3. (1)
    Let’s say A = Ram and B = Lakhan
    a = 1 and b = 4, then

    (20/Lakhan speed)  = (2/1)
    Lakhan’s Speed = 10 km/hr
  4. (2)
    Let’s say S1 = 50 kmph,
    S2 = 60 kmph
    T1 – T2 =  1

    Distance = [(50*60)/(60-50)]*1 = 300km

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