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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue
mathsCommercial ArithmeticsRate and Span

Speed, Time, Distance

An example to the rate `xx` span `=` aggregate, is
speed `xx` time `=` distance.

This is explained in detail.



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A train covers `102`km in `3` hours. What is the speed of the train?

  • `34` km/hour
  • `34` km/hour
  • `102` km/hour

The answer is "`34` km per hour".

Unitary method in Speed-Time-Distance:
The distance traveled in `1` unit time is the speed.

A train covers `102`km in `3` hours.
The speed of the train is `102/3` `=34` km per hour.

How much time does a train, at the speed of `60` km per hour, take to cross `240`km?

  • `4` hours
  • `4` hours
  • `8` hours

The answer is "`4` hours".

Speed `xx` time `=` distance.

Speed and distance are given. Time is to be calculated.

What distance a train at the speed `50` km per hour covers in `7` hours?

  • `350` km
  • `350` km
  • `350` hours

The answer is "`350` km"

Speed `xx` time `=` distance.

Speed and time are given. Distance is to be calculated.

A car takes `3` mins to cross a distance `30` meters. How much distance it would cover if it travels for `22` mins?

  • `220` meter
  • `220` meter
  • `660` meter

The answer is "`220` meter"

Speed `xx` time `=` distance.
Time and Distance are in direct variation.

A car going at the speed `10` meter per second crosses `25` meters in the given time. If the speed is increased to `12` meter per second, what distance it travels in the same time?

  • `30` meters
  • `30` meters
  • `10xx25//12` meter

The answer is "`30` meters"

Speed `xx` time `=` distance.
Speed and Distance are in direct variation.

A car takes `3`mins to cross a bridge at `10` meter per second. What is the time it takes to cross the bridge at `20` meter per second?

  • `3` min
  • `1.5` min
  • `1.5` min

The answer is "`1.5` min"

Speed `xx` time `=` distance.
Speed and time are in inverse variation.

Problems in Speed-Time-Distance : Simplify the problem to
speed `xx` time `=` distance

There are three quantities in the equation. Possible formulation of questions are

 •  two quantities are given, and the third is asked.

 •  two quantities are given. Under the condition that one of the given is modified, the changed second is asked. (direct or inverse variation)

                            
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