Question : By traveling a speed of 18 km/h, a bike completes a journey in 25 minute, then find the distance covered by him and how much time it will take cover a distance of 120 km?
Correct Answer distance = 7.5 km & time = 6.33 hour
Solution & Explanation
Solution
Given, speed of the bike = 18 km/h
And, time to complete the journey = 25 minute
Then distance covered by him = ?
Then, the time to cover a distance of 120 km = ?
Calculation of distance using formula when time and speed are given
Here, time is given in the minute, so to find the distance when speed is given in km/h, we need to convert the time from minute to hour.
Thus, 25 minute = 25 5/60 12 hour
Thus, time = 5/12 hour
We know that
Distance = Speed × Time
Thus, distance covered by the bike in the given time
= 18 3 × 5/12 2 km
= 3 × 5/2 = 7.5 km
Thus, distance covered in the given time of 25 minute = 7.5 km
Calculation of the time using formula when distance and speed are given
We know that
Time = Distance/Speed
Here, distance = 120 km, and speed = 18 km/h
Thus, Time = 120 20/ 18 3 hour
= 20/3 hour
= 6 1/3 hour or 6.33 hour
Thus, distance covered in the given time = 7.5 km and time taken to cover the given distance = 6.33 hour Answer
Unitary Method: Calculation of distance when time and speed are given
Given, time to complete the journey = 25 minute
Given, speed of the bike = 18 km/h
As given speed = 18 km/h
This means the given bike covers a distance of 18 km in 1 hour, i.e. 60 minute
Now, ∵ In 60 minute the distance covered by the bike = 18 km
∴ In 1 minute, the distance covered by the bike = 18/60 km
∴ In 25 minute, the distance covered by the bike = 18/60 × 25 km
= 450/60 km = 7.5 km
Thus, distance covered by the bike in the given time = 7.5 km
Unitary Method: Calculation of time taken to cover the distance 120 with a speed of 18 km/h
∵ Time to cover a distance of 18 km by the bike = 1 hour
∴ Time to cover a distance of 1 km by the bike = 1/18 hour
∴ Time to cover a distance of 120 km by the bike = 1/18 × 120 hour = 6.33 hour
Thus, the time required to cover a distance of 120 km by the bike = 6.33 hour
Thus, distance covered in the given time = 7.5 km and time taken to cover the given distance = 6.33 hour Answer
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