SOLUTION: a PASSENGER NOTICED THAT SHE HAD FORGOTTEN HER BAG IN A BUS 12 MINUTES AFTER THE BUS HAD LEFT. TO CATCH UP WITH THE BUS, SHE IMMEDIATELY TOOK A TAXI WHICH TRAVELLED AT 95KM/HR.TH

Algebra ->  Finance -> SOLUTION: a PASSENGER NOTICED THAT SHE HAD FORGOTTEN HER BAG IN A BUS 12 MINUTES AFTER THE BUS HAD LEFT. TO CATCH UP WITH THE BUS, SHE IMMEDIATELY TOOK A TAXI WHICH TRAVELLED AT 95KM/HR.TH      Log On


   

Question 1101238: a PASSENGER NOTICED THAT SHE HAD FORGOTTEN HER BAG IN A BUS 12 MINUTES AFTER THE BUS HAD LEFT. TO CATCH UP WITH THE BUS, SHE IMMEDIATELY TOOK A TAXI WHICH TRAVELLED AT 95KM/HR.THE BUS MAINTAINED AN AVERAGE SPEED OF 75KM/HR. DETERMINE
A)THE DISTANCE COVERED BY THE BUS IN 12 MINUTES.
B)THE DISTANCE COVERED BY THE TAXI TO CATCH UP WITH THE BUS
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The bus had traveled 75%2A%2812%2F60%29%2Akilometers=highlight%2815%2Akilometers%29 during the 12 minutes after the bus left.

Taxi at 95 km/hr and bus at 75 km/hr, means taxi is catching up at 20 km/hour.


t, time to catchup
75%28t%2B1%2F5%29=95t
75t%2B15=95t
20t=15
t=3%2F4------three-quarters hour, or 45 minutes.

Taxi traveled 95%2A%283%2F4%29=highlight%2871%261%2F4%29 kilometers to catchup.