A car travels from a point A to B at a constant speed of 50 km/h On return journey along the same path it travel at a constant speed of 40 km/h Find its distance and average speed.

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Solution

Let the distance between A and B be x
Speed ¹ = 50kmph
therefore time taken = x/50

return journey
speed ²=40kmph
time taken = x/40

total distance travelled =x+x=2x km

average speed = total distance/total time
= 2x/(x/50+x/40)
= 2x÷[ x(40+50)/200]
= 2*200/90
= 45 kmph

x =45kmph

total distance travelled = 2x

= 2×45kmph

= 90kmph

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