We will discuss here how to find the distance when speed and time are given.
When speed and time are given, the distance travelled is calculated by using the formula:
Distance = Speed × Time
The unit of time in speed should be the same as that of the given time.
Solved examples to calculate distance when speed and time are given:
1. How much distance will be covered in 5 hrs at a speed of 55 km per hour?
Solution:
Distance covered in 1 hour = 55 km.
We know, Distance = Speed × Time
Distance covered in 5 hrs = 55 × 5
= 275 km.
Therefore, distance covered in 5 hrs = 275 km.
2. A bus travels at a speed of 45 km/hour. How far will it travel in 36 minutes?
Speed = 45 km/hour
Time = 36 minutes
= 36/60 Hour (Since we know, 1 hour = 60 minutes)
= 3/5 hour
Distance = speed × time
= 45 × (3/5) km
= (45 × 3)/5 km
= 27 km.
3. How much distance will be covered in 7 hrs at a speed of 62 km per hour?
Solution:
Distance covered in 1 hour = 62 km.
We know, Distance = Speed × Time
Distance covered in 7 hrs = 62 × 7
= 434 km.
Therefore, distance covered in 7 hrs = 434 km.
4. Mike drives his car at a speed of 70 km per hour. How much distance will he cover in 3 hours 30 minutes?
Speed of the car = 70 km/hr
Time taken = 3 hours 30 minutes
= 3 ½ hours.
Distance covered in 1 hour = 70 km
Distance covered in 3 ½ hour = 70 × 3 ½ km
= 70 × 7/2 km
= 245 km.
5. How much distance will be covered in 1 ½ hour at a speed of 32 m per minute?
Solution:
[1 ½ hr = (60 + 30) minutes = 90 minutes].
Distance covered in 1 minute = 32 metres.
Distance covered in 90 minutes = 32 × 90 = 2880 m.
We know, 1 m = 1/1000 km.
= 2880/1000 km.
= 2.88 km.
Note:
In
the above example, since the speed is expressed in minutes, time has to
be taken in minutes. We should take care that the unit of time in both
speed and time is the same.
Relation of Speed Distance and Time
Express Speed in Different Units
To find Speed when Distance and Time are given.
To find the Distance when Speed and Time are given.
To find Time when Distance and Speed are given.
Worksheet on Expressing Speed in Different Units
Worksheet on Speed, Distance and Time.
5th Grade Numbers Page
5th Grade Math Problems
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