A car covers a distance from town X to town Y at a speed of 45 km/h and returns at a speed of 75 km/h. If the total journey takes 8 hours, find the one-way distance between the two towns.
Explanation:
Let the one-way distance be d km. Time taken forward = d/45 and return = d/75. Given: d/45 + d/75 = 8. (5d + 3d) / 225 = 8 => 8d / 225 = 8 => d = 225 km.
A car travels a distance of 300 km at a certain speed. If the speed is increased by 10 km/h, it takes 5 hours for the journey. Find the original speed.
A man covers 1/3 of his journey by bus at 30 km/h, 1/3 by train at 60 km/h and the last 1/3 by scooter at 20 km/h. Find his average speed for the whole journey.
Explanation:
Let each third of the journey be 60 km. Total distance = 3 * 60 = 180 km. Total time taken = 60/30 + 60/60 + 60/20 = 2 + 1 + 3 = 6 hours. Average speed = 180 / 6 = 30 km/h.
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