The climb from foot to top of a hill 800 meters, Jack can climb at 16 meters per minute and rests for two minutes or 20meters per 2 minutes and rest for one minute. Paul can climb at 10 meters per one minute and rest for one minute or16 meters per minute and rest for 2 minutes. If take has to reach the top in exactly two hours. What is the maximum number of rests that he can take?
a) 41 b) 42 c) 40 d) 43

• total=800m
  16m per min means for 1m=800/16 =50min to climb
  10m per min means for 1m=800/10=80min to climb for paul .....the total time is 2hours==120min....so,time taken for rest by paul is 120-80=40min
  
• 11 years agoHelpfull: Yes(34) No(34)
• total=800m
  16m per min means for 1m=800/16 =50min to climb
  10m per min means for 1m=800/10=80min to climb for paul .....the total time is 2hours==120min.... paul works only 1 min. but it rests 1 min. so now total work
  with rest 2 min. so then in 80 min it will be rest (80/2)=40 times.but in case of 50 minutes rest numbers will be less.here maximum number of resets are asked.so answer is 40(c)
• 11 years agoHelpfull: Yes(23) No(5)
• Rey Kalyan nu correct ra
• 11 years agoHelpfull: Yes(12) No(5)
• total=800m
  16m per min means=800/16 =50min to climb
  10m per min means=800/10=80min to climb
  the total time is 120min
  so,time taken for rest by paul is 120-80=40min
  n each rest is for one min so maximun no of rest are 40(C).......NAVJYOT
• 11 years agoHelpfull: Yes(8) No(2)
• MAX NO OF REST IN CASE 1ST=50 OF 2MIN
  MAX NO OF REST IN CASE 2ND=80 OF 1MIN
  SO IN ABOVE TWO CASES CASE2 HAS MAX NO OF REST.
  SO CONSIDER SECOND CASE TOTAL TIME=120, CLIMBING TIME IS 80 MIN.
  DIFF IS 120-80=40MIN.
  AND EACH REST IS OF ONE MIN SO 40(C) NO TIME PAUL WILL REST THAT IS MAXIMUM.
• 11 years agoHelpfull: Yes(4) No(1)
• But in the question it has been mentioned that each takes exactly 3 hours to reach the top then how can he reach in 50 or 80 mins?
• 11 years agoHelpfull: Yes(0) No(6)
• There are two rates at which Paul can ascend the mountain:
  First:
  10m in 2mins(including rest) i.e. == 5m/min
  Second:
  16m in 3mins(including rest) i.e. ~~ 5.3m/min
  Now obviously 2nd one if faster. If we take that in account in 2 hours he can climb:
  5.3x120 = 636m
  which I believe is less than 800m
  So, No matter how hard he tries he just can't do it.
  Boy isn't typing a pain, specially by keyboard. No auto correction.
• 8 years agoHelpfull: Yes(0) No(0)