a student while going to school in a school bus observe the average speed of the bus to be 20 km per hour on his return trip along the same way the average speed is 30 km per hour what is the average speed of the bus in the entire journey
Answers
Dear Student,
◆ Answer -
v = 24 km/hr
● Explanation -
As the student travels same path back & forth distance will be same. i.e. s1 = s2 = s.
From home to school,
t1 = s1 / v1
t1 = s / 20
From school to home,
t2 = s1 / v2
t2 = s / 30
Average speed of the bus will be calculated as -
v = (s1 + s2) / (t1 + t2)
v = (s + s) / (s/20 + s/30)
v = 2 / (20+30/20×30)
v = 2 × 600 / 50
v = 24 km/hr
Therefore, average speed of the bus is 24 km/hr.
Thanks for asking.
◆ Answer -
v = 24 km/hr
● Explanation -
As the student travels same path back & forth distance will be same. i.e. s1 = s2 = s.
From home to school,
t1 = s1 / v1
t1 = s / 20
From school to home,
t2 = s1 / v2
t2 = s / 30
Average speed of the bus will be calculated as -
v = (s1 + s2) / (t1 + t2)
v = (s + s) / (s/20 + s/30)
v = 2 / (20+30/20×30)
v = 2 × 600 / 50
v = 24 km/hr
Therefore, average speed of the bus is 24 km/hr.