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Question
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.
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
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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