Allen starts from X, goes to Y. At the same time Bob starts from Y and goes towards X. Once Allen reaches Y he changes his direction and returns to X. Once Bob reaches X, he changes his direction and returns to Y. Throughout Allen travels at 54 kmph and Bob travels at 78kmph. By the time they meet for the second time, Bob covers 48 km more than Allen. Find the distance between X and Y.  Choose the correct choice:
A) 144km
B) 72 km
C) 126km
D) 84 km
E) 48km
Total distance 126km   in an hour both Allen and Bob covered 126km   that is  54+78= 
<gadget id="calculator"> 54+78</gadget>
<output>132</output>
132   they meet for the first time Bob covered more KM than Allen. 78-54=24.   so when they meet for the second time Bob covered   24*2= 
<gadget id="calculator">  24*2</gadget>
<output>48</output>
48 more km (ANSW48kmR 48km)
<result>E</result>
Allen starts from X, goes to Y. At the same time Bob starts from Y and goes towards X. Once Allen reaches Y he changes his direction and returns to X. Once Bob reaches X, he changes his direction and returns to Y. Throughout Allen travels at 54 kmph and Bob travels at 78kmph. By the time they meet for the second time, Bob covers 48 km more than Allen. Find the distance between X and Y.