Question
Download Solution PDFThe distance between two stations A and B is 240 km. It takes 2 hours for the two cars L and W to cross each other if they start respectively from A and B at the same time towards each other. Further, it takes 8 hours for L to overtake W if they both start at the same time from A and B in the same direction. Then the speed of the car L (in kmph) is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Distance between A and B = 240 km
Time to cross each other when moving toward each other = 2 hours
Time for L to overtake W when moving in same direction = 8 hours
Formula used:
When moving toward each other: (Speed of L + Speed of W) × Time = Distance
When moving in same direction: (Speed of L − Speed of W) × Time = Distance
Calculation:
Let speed of L = x km/h, speed of W = y km/h
Equation 1: (x + y) × 2 = 240 ⇒ x + y = 120
Equation 2: (x − y) × 8 = 240 ⇒ x − y = 30
Now add both equations:
x + y = 120
x − y = 30
⇒ 2x = 150 ⇒ x = 75
∴ Speed of car L is 75 km/h.
Last updated on Jul 11, 2025
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