Question
Find the distance travelled by car A in 3hrs 45 min if
it is given that speed of car A is 4 km/h less than that of car B and time taken by car B to travel 80 km is 30 min less than time taken by car A to cover a distance of 90 km.Solution
Let speed of car B is βxβ km/h Speed of car A = βx β 4β km/h So, 90/(x β 4) β 80/x = 1/2 => (90x β 80x + 320)/{x(x β 4)} = 1/2 => x2 β 4x = 20x + 640 => x2 β 24x β 640 = 0 => x2 β 40x + 16x β 640 = 0 => x(x β 40) + 16(x β 40) = 0 => (x + 16)(x β 40) = 0 => x = 40 Speed of car A = 40 β 4 = 36 km/h Desired distance = 36 Γ 3.75 = 135 km
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