Discussion

Explanation:

Let the speed of the faster person be x kmph, then speed of the slower person be (x - 2) km/h.

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Distance travelled by them in 2 hours will be, 2x and 2(x - 2) kms.

∴ (2x)2 + (2(x - 2))2 = 202

⇒ 8x2 – 16x + 16 = 400

⇒ 8x2 – 16x - 384 = 0

⇒ x2 – 2x - 48 = 0

⇒ x = 8 or -6. (-6 will be rejected)

∴ Speed of the faster person is 8 kmph.

Hence, option (b).

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