Please Solve

Question

A bus, traveling at 90 km/h, it takes 15.2 h longer to get from Ardmore to Zepher than a plane flying at 850 km/h. How far is it from Ardmore to Zepher?  Please explain

Answer 1

Karen,

 

We now that distance = velocity x time.  The plane covers the distance D between the two cities in time T flying at 850 km/h,  so:

 

D = (850 km/h)·T

 

The bus takes 15.2 hrs longer to cover the same distance traveling at 90 km/hr, so the bus takes time (T+15.2)

 

D = (90 km/h)·(T+15.2)

 

Since distance is the same for both:

 

(850 km/h)·T = (90 km/h)·(T+15.2) = (90 km/h)·T+ (90 km/h)·(15.2 h) 

 

(850 km/h - 90 km/h)T = 1368 km

 

(760 km/h)·T = 1368 km

 

T = 1.8 h

 

To get the distance we can now use the planes velocity, so:

 

D = (850 km/h)·(1.8 h) = 1530 km