A dispatch rider travels between two depots at a speed of 50 km/h and arrives on schedule. If he travels at 40 km/h, he is late by 45 minutes. Find the distance between the two depots. MCQ with Answer and Explanation
A dispatch rider travels between two depots at a speed of 50 km/h and arrives on schedule. If he travels at 40 km/h, he is late by 45 minutes. Find the distance between the two depots.
A. 150 km
B. 120 km
C. 160 km
D. 180 km
Answer: Option A
Solution (By JKSSB Mock Tests)
Time difference = 45 minutes = 45/60 = 3/4 hours. Let distance be d. d/40 - d/50 = 3/4 => (5d - 4d) / 200 = 3/4 => d / 200 = 3/4 => d = 150 km.
Two sprinters race on a 200-meter straight track. The ratio of their speeds is 4 : 5. When the winner crosses the finish line, how far away from the tape is the slower sprinter?
Explanation:
The faster sprinter covers 5 parts = 200 meters, so 1 part = 40 meters. In that same timeframe, the slower sprinter covers 4 parts = 4 * 40 = 160 meters. Distance remaining for the slower sprinter = 200 - 160 = 40 meters.
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