Time and Distance
Solved Questions -3
Calculation of Time when distance and speed are given
Formula to calculate time when distance and speed are given
Time = Distance/Speed
Question (1) In how much time a car will cover a distance of 500 kilo meter at a speed of 100 km per hour?
Solution
Given, Distance (s) = 500 km
Speed (v) = 100 km/h
Thus, Time (t) = ?
We know that, Time = Distance/Speed
Or, t = s/v
Where "t" = Time, "s" = Distance and "v" = Speed
= 500/100
= 5 hour
Thus, time taken by the given car = 5 hour Answer
Alternate Method (Unitary method) to calculate the time when distance and speed are given
Here given, speed = 100 per hour
This means a distance of 100 is covered in 1 hour.
∵ Time to cover a distance of 100 km by the given car = 1 hour
∴ Time to cover a distance of 1 km by the given car = 1/100 hour
∴ Time to cover a distance of 500 km by the given car = `1/100xx500` hour = 5 hour
Thus, Time to cover the distance of 500 km by the given car = 5 h Answer
Question (2) In what time a car running at a speed of 50 km/h will cover a distance of 100 km?
Solution
Given, Distance (s) = 100 km
Speed (v) = 50 km/h
Thus, time (t) = ?
We know that, Time = Distance/Speed
Or, t = s/v
Where "t" = Time, "s" = Distance and "v" = Speed
⇒ Time = 100/50
= 2 hour
Thus, time to cover the given distance = 2 hour Answer
Alternate Method (Unitary method) to calculate the time when distance and speed are given
Here given, speed = 50 km/h
This means a distance of 50 is covered in 1 hour.
∵ Time to cover a distance of 50 km by the given car = 1 hour
∴ Time to cover a distance of 1 km by the given car = 1/50 hour
∴ Time to cover a distance of 100 km by the given car = `1/50xx100` hour = 2 hour
Thus, Time to cover the distance of 100 km by the given car = 2 h Answer
Question (3) How much time a man will take to covers a distance of 20 kilo meter walking at a speed of 5 km per hour?
Solution
Given, Distance (s) = 20 km
Speed (v) = 5 km/h
Thus, time (t) = ?
We know that, Time = Distance/Speed
Or, t = s/v
Where "t" = Time, "s" = Distance and "v" = Speed
⇒ Time = 20/5
= 4 hour
Thus, time to cover the given distance = 4 hour Answer
Alternate Method (Unitary method) to calculate the time when distance and speed are given
Here given, speed = 5 km/h
This means a distance of 5 is covered in 1 hour.
∵ Time to cover a distance of 5 km = 1 hour
∴ Time to cover a distance of 1 km = 1/5 hour
∴ Time to cover a distance of 20 km = `1/5xx20` hour = 4 hour
Thus, Time to cover the distance of 20 km = 4 h Answer
Question (4) How much time a cyclist will take to covers a distance of 30 kilo meter going with a speed of 6 km per hour?
Solution
Given, Distance (s) = 30 km
Speed (v) = 6 km/h
Thus, time (t) = ?
We know that, Time = Distance/Speed
Or, t = s/v
Where "t" = Time, "s" = Distance and "v" = Speed
⇒ Time = 30/6
= 5 hour
Thus, time to cover the given distance = 5 hour Answer
Alternate Method (Unitary method) to calculate the time when distance and speed are given
Here given, speed = 6 km/h
This means a distance of 6 is covered in 1 hour.
∵ Time to cover a distance of 6 km = 1 hour
∴ Time to cover a distance of 1 km = 1/6 hour
∴ Time to cover a distance of 30 km = `1/6xx30` hour = 5 hour
Thus, Time to cover the distance of 30 km = 5 h Answer
Question (5) How much time a cyclist will take to covers a distance of 50 kilo meter going with a speed of 6.25 km per hour?
Solution
Given, Distance (s) = 50 km
Speed (v) = 6.25 km/h
Thus, time (t) = ?
We know that, Time = Distance/Speed
Or, t = s/v
Where "t" = Time, "s" = Distance and "v" = Speed
⇒ Time = 50/6.25
= 8 hour
Thus, time to cover the given distance = 8 hour Answer
Alternate Method (Unitary method) to calculate the time when distance and speed are given
Here given, speed = 6.25 km/h
This means a distance of 6.25 is covered in 1 hour.
∵ Time to cover a distance of 6.25 km = 1 hour
∴ Time to cover a distance of 1 km = 1/6.25 hour
∴ Time to cover a distance of 50 km = `1/6.25xx50` hour = 8 hour
Thus, Time to cover the distance of 50 km = 8 h Answer
Question (6) If a bus is running with a speed of 50 km/h, then in how much time it will covers a distance of 500 kilo meter?
Solution
Given, Distance (s) = 500 km
Speed (v) = 50 km/h
Thus, time (t) = ?
We know that, Time = Distance/Speed
Or, t = s/v
Where "t" = Time, "s" = Distance and "v" = Speed
⇒ Time = 500/50
= 10 hour
Thus, time to cover the given distance = 10 hour Answer
Alternate Method (Unitary method) to calculate the time when distance and speed are given
Here given, speed = 50 km/h
This means a distance of 50 is covered in 1 hour.
∵ Time to cover a distance of 50 km = 1 hour
∴ Time to cover a distance of 1 km = 1/50 hour
∴ Time to cover a distance of 500 km = `1/50xx500` hour = 10 hour
Thus, Time to cover the distance of 500 km = 10 h Answer
Question (7) If a taxi is running with a speed of 80 km per hour, then in how much time it will covers a distance of 2000 kilo meter?
Solution
Given, Distance (s) = 2000 km
Speed (v) = 80 km/h
Thus, time (t) = ?
We know that, Time = Distance/Speed
Or, t = s/v
Where "t" = Time, "s" = Distance and "v" = Speed
⇒ Time = 2000/80
= 25 hour
Thus, time to cover the given distance = 25 hour Answer
Alternate Method (Unitary method) to calculate the time when distance and speed are given
Here given, speed = 80 km/h
This means a distance of 80 is covered in 1 hour.
∵ Time to cover a distance of 80 km = 1 hour
∴ Time to cover a distance of 1 km = 1/80 hour
∴ Time to cover a distance of 2000 km = `1/80xx2000` hour = 25 hour
Thus, Time to cover the distance of 2000 km = 25 h Answer
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