### Brain Teasers

# Out to Lunch

Mad Ade travels on a cycle from home to his favourite kebab shop on a straight road with wind against him. He took 4 hours to reach there.

On the way back, Mad Ade took 3 hours to reach Home as the wind was in the same direction.

If there is no wind, how much time does Mad Ade take to travel from home to the kebab shop?

On the way back, Mad Ade took 3 hours to reach Home as the wind was in the same direction.

If there is no wind, how much time does Mad Ade take to travel from home to the kebab shop?

### Answer

Let distance between home and the kebab shop is D.Mad Ade took 4 hours to reach the kebab shop. So speed while travelling towards the kebab shop is D/4.

Similarly, he took 3 hours to reach home. So speed while coming back is D/3.

There is a speed difference of 7*D/12, which is the wind helping Mad Ade in 1 direction, & slowing him in the other direction. Average the 2 speeds, & you have the speed that person can travel in no wind, which is 7*D/24.

Hence, Mad Ade will take D / (7*D/24) hours to travel distance D which is 24/7 hours.

Answer is 3 hours 25 minutes 42 seconds

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