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Time taken by A = 8 hours more than B Distance = 160 km A doubles the speed, he takes 3 hours more than B. Let the speed be SA and SB According to the question, ⇒ 160/SA– 160/SB = 8......(1) ⇒ 160/2SA– 160/SB = 3 ⇒ 80/SA– 160/SB= 3 ....(2) Multiplying equation (1) by 1/2 we get, ⇒ 80/SA– 80/SB = 4 .....(3) Now, Substituting equation (2) and (3) we get, ⇒ 80/SA– 160/SB= 3 and 80/SA– 80/SB = 4 ⇒ 160/SB– 80/SB= 4 – 3 ⇒ 80/SB= 1 ⇒ SB= 80 km/h ∴ The speed of B is 80 km/h.
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