Week 284 (10th February 2023)

The postal service has a busy few days coming up delivering Valentine’s Day cards. 

Three mail carriers take 2 ½ hours to deliver Valentine’s cards to 270 houses.  

Assuming that the mail carriers deliver the cards at the same rate, how long will it take five mail carriers to deliver Valentine’s Day cards to 405 houses. 

Please give your answer in hours and minutes. 

Answer:  

3 mail carriers take 150 minutes to deliver 270 houses.  

405 houses would take one carrier 675 minutes ie 405 x (150 x 3)/ 270  

As there are 5 carriers, it will take a 5th of this time = 675/ 5 = 135 minutes = 2hrs 15 minutes