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?  Choose the most appropriate option
A) 30
B) 31.25
C) 31
D) 32
E) 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 =&gt; 120/105 = 24/21 =&gt; 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= 
<gadget id="calculator">750 * 7 /12</gadget>
<output>875/2 = around 437.5</output>
&gt; 437.5hrs=&gt; 437.5/14= 
<gadget id="calculator">437.5/14</gadget>
<output>31.25</output>
31.25   ANSWER:31.25
<result>B</result>
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?