Two persons are climbing up on two moving escalators which have 120 steps. The ratio of 1st person’s speed to that of 1st escalator is 2:3 (steps). The ratio of 2nd person’s speed to that of 2nd
escalator is 3:5 (steps). Find the total number of steps they both have taken together.

a. 85
b. 93
c. 80
d. 75

• Lets do the first part of the question, 2:3 ratio. ie. your speed in relation of the escalator is 2:3. Think of it like splitting the number of steps with the escalator; 2+3=5 so cut the escalator into 5 pieces, you walk 2/5 of the way and the escalator does 3/5 of the work. Note that 2/5 over 3/5 is a 2:3 ratio. So the answer to the first part of the question is (2/5)*120 = 48. That's the number of steps you take.
  similarly the other person takes 45 steps.
  In total 45+48=93
  
• 10 years agoHelpfull: Yes(31) No(0)
• suppose speed in step/sec
  the ratio of 1st
  person’s speed to that of 1st escalator is 2:3 (steps) it means (3+2)=5 step/sec
  similarly for 2nd person 3+5=8 steps/sec
  escalator have total 120 steps
  
  so for 1st person=120/5=24 sec
  for 1st person=120/8=15 sec
  
  speed of 1st person=2 step/sec
  so total steps in 2 sec=24*2=48
  
  similarly for 2nd person=15*3=45 steps
  
  total=48+45=93 steps Ans
• 10 years agoHelpfull: Yes(1) No(0)
• given ratios 2:3 and 3:5.In 1st case divide 120 by 5 which gives 24.so 24*2=48
  similarly in second case 120 divide by 8 whch gives 15.S0 15*3=45
  hence 45+48=93
• 10 years agoHelpfull: Yes(1) No(0)
• solve it by ratio :-
  120*2/5+120*3/8
  =93ans
• 10 years agoHelpfull: Yes(0) No(0)