Distance between Mumbai and Pune is $(2 y^{2} + y + 2)$ . There are two routes to travel from Mumbai to Pune as shown in the figure.

What is the difference between the distances of the two routes?

32 units

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23 units

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57 units

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34 units

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Solution

The correct option is D 34 units
When y=5
Distance= $(2 y^{2} + y + 2) = 2 \times 5^{2} + 5 + 2 = 50 + 5 + 2 = 57$ units
When y =3,
Distance = $(2 y^{2} + y + 2) = 2 \times 3^{2} + 3 + 2 = 18 + 3 + 2 = 23$ units
$∴$ Required difference = 57 – 23 = 34 units.

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Distance between Mumbai and Pune is (2y2+y+2). There are two routes to travel from Mumbai to Pune as shown in the figure. What is the difference between the distances of the two routes?

The correct option is D 34 units When y=5 Distance=(2y2+y+2)=2×52+5+2=50+5+2=57 units When y =3, Distance =(2y2+y+2)=2×32+3+2=18+3+2=23 units ∴ Required difference = 57 – 23 = 34 units.

Distance between Mumbai and Pune is $(2 y^{2} + y + 2)$ . There are two routes to travel from Mumbai to Pune as shown in the figure.

What is the difference between the distances of the two routes?

The correct option is D 34 units
When y=5
Distance= $(2 y^{2} + y + 2) = 2 \times 5^{2} + 5 + 2 = 50 + 5 + 2 = 57$ units
When y =3,
Distance = $(2 y^{2} + y + 2) = 2 \times 3^{2} + 3 + 2 = 18 + 3 + 2 = 23$ units
$∴$ Required difference = 57 – 23 = 34 units.