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If a man travels at 40 km/h, he reaches his destination late by 12 minutes but if he travels at 60 km/h then he reaches 12 minutes earlier.…

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If a man travels at 40 km/h, he reaches his destination late by 12 minutes but if he travels at 60 km/h then he reaches 12 minutes earlier. The distance travelled by him is:
  • A30 km
  • B35 km
  • C42 km
  • D48 km
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CCommunity
Distance = Speed × Time

Let the distance be x km

Let the initial time taken be t hrs

If speed is 40 km/hr x = 40 × (t + 12/60)

If speed is 60 km/hr x = 60 × (t – 12/60)

60t – (60 × 12/60) = 40t + (40 × 12/60)

t = 1 hr

Distance = 40 × (1 + 1/5) = 48 km