Two cyclists start from the same place to ride in the same direction. A starts at noon at 8 kmph and B at 1.30 pm at 10 kmph. How far will A have ridden before he is over taken by B ?Find also at what times A and B will be 5 km apart.
Choose the correct option
A) 5pm and 10pm
B) 6pm and 10pm
C) 4pm and 8 pm
D) 5pm and 8 pm
E) None of these
Sol. If A rides for X hours before he is overtaken, then B rides for(X – 15) hrs.   =&gt; 8X = 10 (X – 1.5) =&gt; X = 7.5   =&gt; A will have ridden 8 × 7.5 km ro 60 km.   For the second part, if Y = the required number of hours after noon, then   8X = 10 (X – 1.5) ± 5   =&gt; X = 10 or 5 according as B is ahead or behind A.   =&gt; The required times are 5 p.m. and 10 p.m. 5pm and 10pmnswer 5pm and 10pm
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Two cyclists start from the same place to ride in the same direction. A starts at noon at 8 kmph and B at 1.30 pm at 10 kmph. How far will A have ridden before he is over taken by B ?Find also at what times A and B will be 5 km apart.