Question
A car travels from town A to town B at a speed of 60
km/h and returns from B to A at a speed of 40 km/h. If the total time taken for the entire journey is 5 hours, what is the distance between A and B?Solution
Let distance between A and B = d km Time from A to B = d / 60 hours Time from B to A = d / 40 hours Total time = d/60 + d/40 = 5 LCM of 60 and 40 is 120: d/60 + d/40 = (2d/120) + (3d/120) = 5d/120 = d/24 So, d/24 = 5 ⇒ d = 5 × 24 = 120 km
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