Question

114. If plane X averages 800 mph and plane Y averages 400 mph, how manyhours will plane X travel before it overtakes plane Y if plane Y has a 2 hourand 30 minute head start?a.1b. 2c. 5d. 72

Answer 1

To determine the time taken for the plane X to travel:

If plane X averages 800 mph and plane Y averages 400 mph

Distance column is found by multiplying the rate

by time.

The time taken for plane Y to travel = 2hr 30 minutes = 2.5hrs head start

Be sure to distribute the 400(t +2.5)for Plane Y,

and Plane X to distribute 800t

As they cover the same distance

`\begin{gathered} Dis\tan ce\text{ is equal ,} \\ 800t=400(t+2.5) \\ 800t=400t+1000 \\ 800t-400t=1000 \\ 400t=1000 \\ t=(1000)/(400) \\ t=2(1)/(2)hr \end{gathered}`

Therefore the plane X will travel for 2 1/2 hours

Hence the correct answer is Option B