Nicky and Cristina are running a 500 meter race. Since Cristina is faster than Nicky, she gives him a 12 second head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him? Options.
A) 50  B) 45  C) 40  D) 35  E) 30
The distance traveled by both of them is the same at the time of overtaking.   3(t+12) = 5t   t=18.   Cristina will catch up Nicky in 18 seconds.   So in 18 seconds Cristina would cover = 18*5= 
<gadget id="calculator">18*5</gadget>
<output>90</output>
90 meter.   Now Time taken my Nicky to cover 90 meter= 90/3= 
<gadget id="calculator">90/3</gadget>
<output>30</output>
30 Seconds.   30
<result>E</result>
Nicky and Cristina are running a 500 meter race. Since Cristina is faster than Nicky, she gives him a 12 second head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?