SOLUTION: a car covers the first half of the distance between two places at a speed of 40km/hr and second half at 60 km/hr . calculate the average speed of the car

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Question 636128: a car covers the first half of the distance between two places at a speed of 40km/hr and second half at 60 km/hr . calculate the average speed of the car
Found 2 solutions by ankor@dixie-net.com, lwsshak3:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a car covers the first half of the distance between two places at a speed of
40km/hr and second half at 60 km/hr . calculate the average speed of the car
:
let a = average speed for the trip
let d = half the distance
:
write a time equation, time = dist/speed
d%2F40 + d%2F60 = %282d%29%2Fa
we don't need d, divide thru by d and you have
1%2F40 + 1%2F60 = 2%2Fa
multiply by 120a to clear the denominators, results:
3a + 2a = 120(2)
5a = 240
a = 240/5
a = 48 km/hr

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
a car covers the first half of the distance between two places at a speed of 40km/hr and second half at 60 km/hr . calculate the average speed of the car
**
let x=total distance between the 2 places
ave speed=distance/travel time
..
travel time=distance/speed
=(x/2)/40+(x/2)/60
=x/80+x/120
=(80x+120x)/(80*120)
=200x/9600
..
ave speed=x/(200x/9600)=9600/200=48
average speed of the car=48 km/hr