11 Plus Time and Distance
Time and Distance are important topics in the 11 plus entrance exams. Many questions are being asked in 11 plus time and distance. So, time, distance, speed-related concepts are very important in many applications.
Consider an object, speed generally how fast or slow that particular object is moving, time tells about the duration of its motion, distance tells the path covered by that object. Coming to the relation, speed gives the distance travelled by an object at a particular time.
The relationship between speed, time and distance are:
From the above formula, we can find the time, distance also.
Time = Distance / Speed
Distance = Speed x Time
We can even observe that Speed is directly proportional to Distance and inversely proportional to time.
The standard units for Distance are Meters (m), Time is Seconds (s), for speed is meters per second (MPS).
Units are a very important notation. A number without a unit is just a number as it has some significance with its units. Suppose 100 kmph indicates speed, this quantity is identified as speed due to its units (kmph).
Let us see some important conversions in Time, Distance and Speed.
- 1 km = 1000 m
- 1 m =100 cm
- 1 mile = 1.6 km
- 1 mile = 1760 yards
- 1 yard = 3 feet
- 1 feet = 12 inches
- 1 inch = 2.5 cm
- 1 hr = 60 min = 3600 sec
- 1 min = 60 sec
- 1 kmph = 5/18 mps
- 1mph = 22/45 yard per sec
The above conversions are useful while solving problems.
Example on 11 plus time and distance topic:
A car covers a distance of 100 km in 2hours. What is the speed of a car in metres per second (MPS)?
Sol: Speed = distance / time => s = 100/2 = 50 kmph.
Now it must be converted from kmph to MPS.
We know that 1kmph = 5/18 mps, then 50 kmph = 50 x (5/18) = 13.89 mps.
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