Problema Solution
A commuter airline travels 60 kilometers per hour faster than the television news helicopter over the city. The commuter airline travels 1400 kilometers during the same time that the television news helicopter travels only 1050 kilometers. How fast does the commuter airline fly? How fast does the television news helicopter fly?
Answer provided by our tutors
let
v1 = the speed of the commuter airline fly
v2 = the speed of the television news helicopter fly
A commuter airline travels 60 kilometers per hour faster than the television news helicopter over the city:
v1 = 60 + v2
The commuter airline travels 1400 kilometers during the same time that the television news helicopter travels only 1050 kilometers.
since speed = distance/time follows time = distance/speed:
1400/v1 = 1050/v2 cross multiply
1400v2 = 1050v1
by solving the system of equations:
v1 = 60 + v2
1400v2 = 1050v1
we find:
v1 = 240 kph
v2 = 180 kph
click here to see the step by step solution of the system of equations:
the commuter airline flies with a speed of 240 kilometers per hour.
the television news helicopter flies with a speed of 180 kilometers per hour.