Mathematics
NULL
Medium
Question
A train travels 50% faster than a car. Both leave A together and reach B (75 km away) at the same time, but the train lost 12.5 minutes at stations. Find the car's speed.
A
80 kmph
B
102 kmph
C
120 kmph
✓ Official correct answer
D
140 kmph
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A
80 kmph
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B
102 kmph
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C
120 kmph
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D
140 kmph
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Explanation
Let car speed be v; train = 1.5v. Then 75/v = 75/(1.5v) + 12.5/60 ⇒ 75/v − 50/v = 5/24 ⇒ 25/v = 5/24 ⇒ v = 120 km/h.