A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 second respectively. The length of the train is.
Let the length of train be x km & its speed be y km/hr
Then, x/(y-2) = 9/(60*60)
and x/(y-4) = 10/(60*60)
9y - 3600x = 18
and 10y - 3600x = 40
y-400x = 2 and y - 360x = 4
Therefore
40x = 2 or x = (2/40 *1000)m = 50 metres
A mixture contains juice and water in the ratio 4:3. If 7 litre of water is added to it, the ratio of juice and water becomes 3:4. Find the quantity of juice in the mixture.
11 more than one fifth of the total birds flew away from a tree after that one third of the remaining birds came in the tree. If now there are 92 birds in the tree, then total no of birds remained in the tree after first fly away were
Let C's speed = x kmph,
B's speed = 3x kmph
& A's speed = 6x kmph
therefore Ratio of speeds of A, B, C = 6x :3x : x = 6:3:1
Ratio of times taken = 1/6 : 1/3 : 1 = 1 : 2 : 6
If C takes 6 min, A takes 1 min
If C takes 42 min,
A takes (1/6 * 42) min = 7 min
Option 2)
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K. Mounika
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