### Brain Teasers

# Couriers

A priest sent a courier from Rome to Venice to reach Venice in 7 days. At the same time, the Mayor of Venice sent a courier to Rome to reach Rome in 9 days. The distance was 250 miles. In how many days will they meet?

### Hint

The speed of the couriers are 250/7 and 250/9### Answer

The speed of the couriers are 250/7 and 250/9, so their approach speed was250(1/7 + 1/9) = 250 * 16/63 and they will meet in

63/16 = 3.94 days.

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