Two Turtle Doves
Two turtle doves are having a race starting from Town Ale with the finishing point at Town Bolt. The distance between Town Ale and Town Bolt is 150 meters. The 1st turtle dove is faster than the 2nd turtle dove by 10 m/s. Their speed combined is 35 m/s. How many seconds will the 2nd turtle dove reach Town Bolt?
The answer is 12.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
The distance from Town Ale to Town Bolt is 150 meters. First, let's know the speed of the two turtle doves.
Let:
x = 1st turtle dove
x - 10 = 2nd turtle dove
So, we compute for their speed:
x + (x - 10) = 35
Since their added speed is 35 m/s, we add x and x - 10.
2x - 10 = 35
Transpose -10 to the other side.
2x = 45
Divide 2 both sides.
x = 22.5
x - 10 = 12.5
Now we have their speeds:
1st Turtle Dove = 22.5 m/s
2nd Turtle Dove = 12.5 m/s
Now compute the time it take for the 2nd turtle dove to reach Town Bolt:
T i m e = S p e e d D i s t a n c e
T i m e = 1 2 . 5 m / s 1 5 0 m
Time = 12 sec.
So, the answer is 12 seconds.