SOLVE THE FOLLOWING
Answers
■HEY DEAR
•°•suppose the school is at a distance of x km.
1》while driving to school , the average speed is 20 km h^-1. suppose the time while driving to school is t1.
NOW, Speed= d/ t
=》20= x/ t1
And , time taken , t1 = x/ 20h
2》on the return trip , the average speed is 30km h^-1. suppose the time taken for the return trip is t2.
NOW, Speed= d/time taken
=》30=x/t2
And time taken , t2= x/30 h
we will now consider the whole trip .
Total distance = x+x
(both ways) = 2x km
And, total time taken = x /20 + x / 30
=》 3x × 2x / 60
=》5x /60
=》x/12 h
NOW,
•°•Average speed = total distance covered / total time taken .
=》2x×12/x
=》24km h^-1
Thus, the average speed for abdul's trip is 24 kilometres per hour.
■HOPE ITS HELPFULL
◇◆◇BE BRAINLY◇◆◇
Case I:
While driving to school
Average speed of Abdul's trip = 20 km/h
Average Speed = Total distance/Total time taken
Total distance = Distance travelled to reach school = d
Let total time taken = t1
- (i)
Case II: While returning from school
Total distance = Distance travelled while returning from school = d
Now, total time taken = t2
Average speed for Abdul's Trip = Total distance covered in the trip/Total time taken
where,
Total distance covered in the trip = d + d = 2 d
Total time taken, t = Time taken to go to school + Time taken to return to school = t1 + t2
Concept Note - Consider the two cases individually to make the calculations clear and easy.
From equations (i) and (ii),
Hence, the average speed for Abdul's trip is 24 km/h.