A boy travels 50 km with 5km/hr and then for next 4hr travels with a uniform speed of 20 km/hr. What is the average speed for the whole journey?
A. 62/7km/hr.
B. 65/7km/hr.
C. 60/7km/hr.
D. 9km/hr.
Answers
First of all,
Time t1 = s/v = 50/ 5 = 10 hr
Also ,
Distance s2 = v×t = 20 × 4 = 80 km
Therefore ,
Total time = t1 + t2
= 10 + 4
= 14 hr
Total distance = s1 + s2
= 80 + 50
= 130 km
So ,
Average Velocity = Total distance / Total time
= 130 / 14
= 9.28 km/hr
Total Time : - 5 + 4 = 9 Hours
Now, To convert Km/Hour To Metre/Sec.
Multiply The value by 5/18.
So, 50 × 5/18 = 13.888 m/s
Now, 20 × 5/18 = 5.555 m/s
So, Speed = Distance / Time
To Find Distance,
Distance = Speed × Time
= Total Speed = 13.888 + 5.555 = 19.443 m/s
So, Distance = 19.443 × 9 = 175.987 Km
= Average Speed = Total Distance / Total Time
= 175.987 / 9 = 19.554 m/s
Your Answer Is 19.554 m/s
Hope this helps....