Nicky and Cristina are running a 400 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?
Choose the correct answer:
A) 40  B) 25  C) 35  D) 30  E) 50
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>D</result>
Nicky and Cristina are running a 400 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?