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 speeds of the couriers are 250/7 and 250/9
Answer
The speeds of the couriers are 250/7 and 250/9, so their approach speed was :
250(1/7 + 1/9) = 250 * 16/63 and they will meet in
63/16 = 3.94 days.