A bus travelled the first half of its route at an average speed of 20 km/hr . If its average speed for the entire trip was 24 km/hr , calculate the average speed of the bus for the second half of its route.
SOLVE THE QUESTION BY USING LINEAR EQUATIONS
Answers
Given : A bus travelled the first half of its route at an average speed of 20 km hr.
average speed for the entire trip was 24 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 = 20 km/hr
Time = D/20 hr
Second Half = 2D/2 = D km
Speed = X km/hr
Time = D/X hr
Total Distance = 2D km
Speed = 24 km/hr
Time = 2D/24 = D/12 hr
D/20 + D/X = D/12
=> 1/20 + 1/X = 1/12
Multiplying both sides by 60X
=> 3X + 60 = 5X
=>2X = 60
=> X = 30
average speed of the bus for the second half its route. = 30 km/hr
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