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 11⁄2 times of the previous in how many days will he cover 750 km?
(a) 30
(b) 31.25
(c) 31
(d) 33
Answers
Answered by
13
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
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
Answered by
0
the answer is 750 km
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