A bus travelled first half of its rout at an average speed of 40 km/ hour. if its average speed for the entire trip of 48 km /hr, calculate the average speed of the bus for the second half of its route.
Answers
Given : A bus travelled the first half of its route at an average speed of 40 km hr.
average speed for the entire trip was 48 km/hr,
To Find : the average speed of the bus for the second half its route.
Solution:
Distance = Speed x Time
Let say Total Distance = 2D km
First Half = 2D/2 = D km
Speed = 40 km/hr
Time = D/40 hr
Second Half = 2D/2 = D km
Speed = X km/hr
Time = D/X hr
Total Distance = 2D km
Speed = 48 km/hr
Time = 2D/48 = D/24 hr
D/40 + D/X = D/24
=> 1/40 + 1/X = 1/24
Multiplying both sides by 120X
=> 3X + 120 = 5X
=>2X = 120
=> X = 60
average speed of the bus for the second half its route. = 60 km/hr
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