Question

CONSTRUCTING A BYPASS While travelling from Alwah to Barogh, one crosses the busy hamlet of Chagotkar. The road from Alwah to Chagotar, is exactly perpendicular to the road going from Chagotkar to Barogh. The distance covered by the road between Chagotkar and Barogh is 7 kilometers more that the distance of the road connecting Alwah and Chagotkar. Ayushi is an engineer looking after the project of building a direct bypass road that would connect Alwah and Barogh and has proposed to construct a 17 km direct bypass road between the two cities.
1. The equation which represents the above situation algebraically is

a) x2
+ 7x − 120 = 0
b) x2
+ 5x − 120 =0

c) 8x2
+ 7x − 120 = 0
d) x2
+ 2x − 120 = 0

2. Ayushi noticed that for the construction of the highway a lot of trees need to be cut. So, she

decided to compensate the tree loss by afforestation. Ayushi chose to plant an equal number of

Mango, Jamun and Peepal trees along both sides of the bypass road. 100m of space would also

be left on both sides of road at Alwah and Barogh for toll plaza, signages and billboards at each

ends (as shown below). Assuming that if every tree is planted at a distance of 10 m, the number

of trees of each kind will be:
a) 1210 b) 1200 c) 1120 d) 1110

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Answer 1

Answer:

tress have planted at a distance a) 1210