Rahi had to travel 360 km in 8 hours. Moving on, she traveled at an average speed of 60 km / h, taking two breaks in the middle of it, twice as large as a short break. How long was the short break?
Answers
Answer:
The short break lasted for 40 minutes
Step-by-step explanation:
Total distance = 360 km
Total time = 8 hours
Average speed = 60 km per hour
Let "t" be the duration of the short break in hours
=> "2t" is the duration of the long break in hours
The total time taken by the breaks = t + 2t = 3t
The distance travelled by Rahi during the breaks is ZERO
=> The time spent in actual travelling = (8 - 3t) hours
=> In (8 - 3t) hours, Rahi travelled 360 km
=> Speed of Rahi during the travel = Distance / time
=> Rahi's speed in km per hour = 360/(8 - 3t)
We are given that she travelled at an average speed of 60 km per hour
=> 360/(8 - 3t) = 60
=> 360 = 60(8 - 3t)
=> 360 = 480 - 180t
=> 180t = 480 - 360
=> 180t = 120
=> t = 120/180
=> t = 2/3
The short break was of 2/3 hours or (2/3)*60 minutes = 40 minutes
More information and verification
The long break duration = 2t = 80 minutes = 4/3 hours
Total time spent in breaks = 120 minutes = 2 hours
Total time spent in travelling = 6 hours
=> Rahi had to complete the distance of 360 km in 6 hours, effectively.
=> Rahi's average speed while travelling = 360/6 = 60 km per hour, as given
(Hence, verified)