2 Abdul covered th distance between the towns A and B by car and the 1 5 2 distance by bus. Still town B is 15 km away. What may be the distance between the town A and B ?
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Answer:
Given,
Speed of car = x km/hr
Speed of train = (x+16) km/hr
And, we know that
Time = Distance / Speed
(i) Time taken by the car to reach town B from town A = 216/x hrs
(ii) Time taken by the train to reach town B from town A = 208/(x+16) hrs
(iii) According to the question, we have
x
216
=
x+16
208
=2
x(x+16)
216x+3456−208x
=2
x(x+16)
8x+3456
=2
4x+1728=x
2
+16x
x
2
+12x−1728=0
x(x+48)−36(x+48)=0
(x+48)(x−36)=0
x=−48,36
As speed cannot be negative,
=36
(iv) Therefore, the speed of the train is (x+16)=(36+16) km/hr = 52 km/h.
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