A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½
times of the previous in how many days will he cover 750 km?

1: 30
2: 31.25
3: 31
4: 33

• Distance d = 1200km
  let x be the speed
  
  he walks 15 hours a day(ie 24 - 9)... so totally he walks for 1050hrs...
  
  x = 1200/1050 => 120/105 = 24/21 => 8/7kmph
  
  
  given 1 1/2 of prev speed
  so 3/2 * 8/7= 24/14 = 12/7
  
  new speed = 12/7kmph
  
  now he rests 10 hrs a day ... means he walks 14 hrs a day...
  
  time = 750 * 7 /12 => 437.5hrs
  => 437.5/14 = 31.25
  
  so he ll take 31.25 days to cover 750km
  
• 10 years agoHelpfull: Yes(162) No(1)
• 31.25 (Answer)
  
  
  Case 1:
  Total Distance = 1200km
  Total time=70*(24-9)=1050
  Speed=D/T=1200/1050
  
  Case 2:
  Speed = (old speed*1.5)= (1200/1050)*1.5
  Distance = 750
  Time = Dis/Speed = 750/((1200/1050)*1.5)=437.5
  Now resting 10 hrs a day ie. working 14 hrs a day
  therfore 437.5/14=31.25 (Answer)
• 10 years agoHelpfull: Yes(22) No(1)
• 2) 31.25 days
• 10 years agoHelpfull: Yes(5) No(0)
• 2)31.25
  
  70 days---1200km
  1day= 1200/70= 120/7
  1day=24 hrs he rests 9 hrs a day so, left hrs= 15hrs
  speed=distance/time
  x={120/7}/ 15
  x=8/7km/hr
  if he rests 10 hrs a day and walks with speed=3/2x
  then he walks for 14 hrs a day
  again 3/2x= 750/ 14
  putting value of x=8/7
  14hrs/day= 750*7*2/3*8
  14hrs/day= 437.5
  1 day= 437.5/14 =31.25
• 10 years agoHelpfull: Yes(5) No(0)
• (d2*t2*v2)/s2=(d1*t1*v1)/s1
  d2=70*15*1*750/(1200*3/2*14)
  =31.25
• 10 years agoHelpfull: Yes(4) No(0)
• since he rest 10 hrs a day so he travels 14 hrs in a day at speed of 3/2 so his in one day he walks 21 km so 750 km he will walk in 33 days
• 10 years agoHelpfull: Yes(1) No(4)
• big in size
• 10 years agoHelpfull: Yes(1) No(0)
• we know that Distance= Speed*time,
  here D=1200km;
  total journey per day = 24-9=15 hours,
  i.e, for 70 days is 70*15= 1050 hrs
  now Speed = distance/time
  speed = 1200/1050 =1.14 km/hr
  
  now the new speed is 1.5 times of the old speed
  i.e., 1.5*1.14= 1.71
  he take rest for 10 hours a day i.e., he travels 14 hours per day
  
  total time =750/(1.71*14) = 31.258
  therefore number of days for walking 750 km takem by him is 31.25
• 9 years agoHelpfull: Yes(1) No(0)
• 31.25 days
• 10 years agoHelpfull: Yes(0) No(0)
• you can apply MANDAYS concept ,
  let x days to cover 750km
  man*days*hours+w2=man*days*hours*w1
  70*15*750=1200*(x)*14*1.5*1200(speed for 1200km is y and speed for 750km is 3/2(y))
  which gives x=31.5
• 8 years agoHelpfull: Yes(0) No(0)
• 31.25 days
• 8 years agoHelpfull: Yes(0) No(0)