Question
A car covers the first half of a journey at a speed of 40 km/h and the second half at a speed of 60 km/h. The total time taken for the whole journey is 5 hours. What is the total distance (in km) of the journey?
Solution
Let total distance = D km. Each half = D/2 km. Time for first half = (D/2) ÷ 40 = D/80 hours Time for second half = (D/2) ÷ 60 = D/120 hours Total time = D/80 + D/120 = 5 LCM of 80 and 120 = 240: D/80 + D/120 = (3D/240) + (2D/240) = 5D/240 = D/48 So D/48 = 5 ⇒ D = 5 × 48 = 240 km
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