two points A and B are x m apart. C lies on the straight line joining A and B such that the ratio of the length AC to that of CB is 2:3. An object travels from A to C in half a minute and then from C to B at an average speed of 30m/s. Find an expression for:
I) the time taken for the object to travel from C to B
ii) the average speed of the object for it's entire journey from A to B
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Answer:
AB=100AB=100 miles and AC+CB=100milesAC+CB=100miles.
(I) ⇒AB=CB(1+25100)⇒AB=CB(1+25100)
⇒100=54CB⇒CB=80miles⇒100=54CB⇒CB=80miles
(II) ⇒AC=14(CB)⇒AC=14(CB)
Hence, question can be answered using both statements together.
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