Orkut
Maths Puzzle
Q. A man started to walk from Town A to Town B at 1200 hrs, and his friend started at two P.M. on the same day to walk from B to A. They met on the road at five minutes past four o'clock, and each man reached his destination at exactly the same time. Can you tell at what time they both arrived at their destination?
Read Solution (Total 8)
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- 7 PM
A...................X.................B
Suppose the person starting from A started with speed A and person starting from B started with speed B.
They met at X at five minutes past four o'clock,.
Each man reached his destination at exactly the same time say after x mins from 5 mins past 4 PM.
So 245*A= B*x .................(1)
and
A*x= B*125 .................(2)
Dividing (2) with (1), we get
x/245 = 125/x
or
x^2 = 245 *125
x= 175 mins
so they met after 175 mins( 2 hr 55 mins) from 4:05 means
they met at 7 PM.
- 14 years agoHelpfull: Yes(3) No(1)
- 7 PM
- 14 years agoHelpfull: Yes(0) No(2)
- Both of them would reach their destination at 6 PM.
Reason: At 4.05 PM % of distance covered by first man and his friend is 58.33 (245 min*100/420 min) and 41.67 (125 min*100/300 min) respectively which would amount to 100%. ie, traveled time so far *100 / total traveled time. - 14 years agoHelpfull: Yes(0) No(2)
- they will reach the destination by 6:10 pm
- 14 years agoHelpfull: Yes(0) No(1)
- 6:10 pm
- 14 years agoHelpfull: Yes(0) No(1)
- speed of A=x,speed of B=y.
total dis =4.05x+2.05y=49/12x+25/12y
let at u p.m they reach the destination
ux=49/12x+25/12y
and ux=(u-2)y
by solving we get u=7p.m - 14 years agoHelpfull: Yes(0) No(0)
- 1810 hrs
- 14 years agoHelpfull: Yes(0) No(1)
- they will reach the destination by 7 pm
- 10 years agoHelpfull: Yes(0) No(0)
Orkut Other Question
Q. A police officer caught a thief. In cross examination the lawyer of accused asked the police officer how he could catch up with the accused who was already 27 steps ahead of him. "Yes sir",the officer replied. "He takes 8 steps to every 5 steps of mine", then the lawyer said "if that was the case,how could u ever catch?" "i have got a long stride.2 steps of mine are equal to his 5",replied the officer. A member of jury who was good at quick calculations figured out the number of steps the officer must have taken to catch the thief. can u find it? (initial 27 steps is that of thief's)
please give detailed soluction to this.
Q. Four whole numbers - a, b, c and d.
such that -
1. ( a + b + c + d ) is a perfect square
2. ( a + b ), ( a + c ), ( a + d ), ( b + c ) , ( b + d ) and ( c + d ) are also each a perfect square. What are the smallest values for a, b, c and d?