Aptitude Question:
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A traveler walks a certain distance. Had he gone half a kilometer an hour faster , he would have walked it in 4/5 of the time, and had he gone half a Kilometer an hour slower, he would have walked 2 ½ hr longer. What is the distance?

Answer:

there'll be 3 eq...
t - time
d - distance
s - speed

d/t=s
d/(4/5)t=s+1/2
d/(t+(5/2))=s-(1/2)

solve it....
u'll get
d=15...

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The value of ¾ + 5 / 36 + 7 / 144 + …….+17 / 5184 + 19 / 8100?A power cable is to be run from a power plant on the bank of a river 900 meters wide to a factory that is located 3000 meters downstream on the opposite bank. If the cost of laying cable under water is Rs. 5 per meter and that of laying overhead on land is Rs. 4 per meter, find the point downstream where the cable is to cut across the river.

(a) 450
(b) 3900
(c) 1800
(d) 2100
(e) 2700