Question
A covers 'x' meters in 8 seconds, while B covers (x +
200) meters in 15 seconds. Also, B takes 10 seconds to cover 'x' meters. How long will it take A to cover (x + 600) meters?Solution
ATQ, Given: A covers x meters in 8 sec → A_speed = x / 8 B covers x + 200 meters in 15 sec → B_speed = (x + 200) / 15 B also covers x meters in 10 sec → B_speed = x / 10 Equate B’s speeds = (x + 200) / 15 = x / 10 Multiply both sides by 30: 2(x + 200) = 3x 2x + 400 = 3x 400 = x To Find A’s speed A_speed = x / 8 = 400 / 8 = 50 m/s Find time for A to cover (x + 600) meters Distance = x + 600 = 400 + 600 = 1000 meters Time = Distance / Speed = 1000 / 50 = 20 seconds
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