A commuter sets off from point M at 7 AM walking at 5 km/h. Another departs M at 9 AM in the same direction at 8 km/h. At what distance from M do they meet? MCQ with Answer and Explanation
A commuter sets off from point M at 7 AM walking at 5 km/h. Another departs M at 9 AM in the same direction at 8 km/h. At what distance from M do they meet?
A. 30 km
B. 26.66 km
C. 24 km
D. 28 km
Answer: Option B
Solution (By JKSSB Mock Tests)
By 9 AM, the first commuter has walked for 2 hours, covering 5 * 2 = 10 km. Relative speed = 8 - 5 = 3 km/h. Time taken to meet = 10 / 3 hours. Distance from M = Speed of second commuter * Time = 8 * (10/3) = 80/3 = 26.66 km.
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 person travels a distance of 24 km at a speed of 6 km/h, another 24 km at 8 km/h and a third 24 km at 12 km/h. Find his average speed for the whole journey.
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