A boy covers a certain distance on a toy train. If the train moved 4 kmph faster, it would take 30 minutes less. If it moved 2 kmph slower, it would have taken 20 minutes more. The distance is
Question and options
A boy covers a certain distance on a toy train. If the train moved 4 kmph faster, it would take 30 minutes less. If it moved 2 kmph slower, it would have taken 20 minutes more. The distance is
- 40 km
- 50 km
- 60 km
- 80 km
Answer and explanation
Correct answer: C - 60 km
d/v - d/(v+4) = 1/2 gives d = v(v+4)/8. d/(v-2) - d/v = 1/3 gives d = v(v-2)/6. Equating gives v = 20, so d = 20 x 24/8 = 60 km.
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