Freddie takes the underground train to work and uses an escalator at the railway station. If Freddie runs up 6 steps of the escalator, then it takes him 45 seconds to reach the top of the escalator. If he runs up 14 steps of the escalator, then it takes him only 33 seconds to reach the top.
How many seconds would it take Freddie to reach the top if he did not run up any steps of the escalator at all?
A. 55
B. 60
C. 48
D. 54
E. 36

• If he runs up 6 steps, then he needs 45 seconds to reach the top.
  
  If he runs up 14 steps, then he needs 33 seconds to reach the top.
  
  8 additional steps take 12 sec.
  
  so each step takes 12/8 =1.5 sec.
  
  Total steps in escalator = 6 + 45 / 1.5 = 36 or Total steps in escalator = 14 + 33/ 1.5 = 36.
  
  he would reach the top of the escalator in 54 seconds (i.e., 36 steps × 1.5 seconds/step).
  
  
• 8 years agoHelpfull: Yes(0) No(0)