A train travels from station A to C having distance of 285 miles in 6 hours. During the journey, it reaches intermediate station
1 answer:
Answer:
Distance between B and C =
Step-by-step explanation:
Let the time taken to reach from station A to B be x hr
Let the time taken to reach from station B to C be y hr
Given total time from station A to C be 6 hr
∴ x + y = 6
⇒ y = 6 - x → (1)
Also total distance given is 285 miles
As
∴ distance travelled between station A and B
=
distance travelled between station B and station C
=
So, 40x + 55y = 285
⇒ 40x + 55(6 -x) = 285 (From 1)
=> 40x + 330 - 55x = 285
=> -15x = 285 - 330
=> -15x = -45 ⇒ x=3
gives y = 6-3 = 3 hours
Distance between B and C =
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Answer:
Observe that the first and the second player have equal probability to get any of number. Using the principle of that symmetry, we have that
<u>Event X = 1 </u>means that the first player has got greater number than the second player, but not than the third player. So, choose any three numbers out of five of them and say that the minimal number out of these three goes to the second player, mean number to the first one and the largest to the third one. Permute remaining two numbers on remaining two people. Hence
<u>Event X = 2</u> means that the first player has got greater number than the second and the third player, but not than the fourth player. So, choose any four numbers out of five of them and say that the minimal number and the next minimal out of these four go to the second and the third player (and permute them), third number to the first one and the largest to the fourth player. Give remaining number to the last person. Hence
<u>Event X = 3</u> means that the first player has got greater number than the second, the third, and the forth player, but not than the fifth player. So, permute these five numbers as follows: give the highest to the last person, the second highest to the first, and permute remaining numbers on the remaining people. Hence
<u>Event X = 4</u> means basically the first player has won all the battles i.e, he has got the greatest number. Hence