3 people, Amy, Beth, and Cassie, have speeds of 3 mph, 4 mph and 6 mph respectively. They run a race in which Beth gives Amy a head start of 2 hrs. If both Beth and Cassie overtake Amy at the same time, what head start did Cassie give Amy?	Choose the correct choice from the following options.
A) 3 hours B) 4 hours C) 5 hours D) 9 miles E) 10 miles
Question clearly states that A started first. B started after 2 hours and we need to determine When did C start.   As per the question, we know that All three meet at the same point.   So, we can determine when did A and B meet. The point they will meet would be the same at which C will be present at that time.   So,   A and B will meet after t = 6/(4-3)= 
<gadget id="calculator">6/(4-3)</gadget>
<output>6</output>
6 hours.   In these 6 hours, B would have covered  4*6= 
<gadget id="calculator"> 4*6</gadget>
<output>24</output>
24 miles.=&gt; C would also have covered 24 miles and that would be in  24/6= 
<gadget id="calculator"> 24/6</gadget>
<output>4</output>
4 hours.   Thus, C started 2 hours after B or 4 hours after A. hence, answer is 4 hours.
<result>B</result>
3 people, Amy, Beth, and Cassie, have speeds of 3 mph, 4 mph and 6 mph respectively. They run a race in which Beth gives Amy a head start of 2 hrs. If both Beth and Cassie overtake Amy at the same time, what head start did Cassie give Amy?