# Math Help - verification needed

1. ## verification needed

Two cyclists are moving towards each other at 10 miles/hour. When they are 50 miles apart, a fly starts from one cyclist and move towards other, moving to and fro till the two cyclists meet each other. If the fly is moving at the rate of 15 miles/hour, then find the total distance covered by the fly?

my answer is 37.5 miles is it rite ?

2. Originally Posted by bluffmaster.roy.007
Two cyclists are moving towards each other at 10 miles/hour. When they are 50 miles apart, a fly starts from one cyclist and move towards other, moving to and fro till the two cyclists meet each other. If the fly is moving at the rate of 15 miles/hour, then find the total distance covered by the fly?

my answer is 37.5 miles is it rite ?
Pretend that one cyclist is stationary and the other one is moving towards it at 20 mph. Then the time taken for the cyclists to meet is 50/20 = 5/2 hours. The distance travelled by the fly is therefore (15)(5/2) = 75/2 = 37.5 so you are indeed correct.