Bowling ball hitting pins bowler hears the sound.... what is the speed of the ball?

Question

I have tried to figure out this question forever now HELP!

A bowling ball traveling with constant speed hits the pins at the end of a bowling lane 16.5m long. The bowler hears the sound of the ball hitting the pins 2.90s after the ball is released from his hands. What is the speed of the ball? The speed of sound is 340m/s.

Answer 1

Let the speed of the ball = V b. The ball travels the end of the bowling lane in time = t = 16.5/V b seconds

Time it takes the sound of the ball hitting the pin at the end of the lane to be heard by the bowler = t s = 16.5/340 = 0.049 seconds.

The time it takes the ball to reach the end of the lane and the time it it takes the sound to be heard by the bowler after the ball is released = 2.9 seconds

2.9 = 16.5/V b + 0.049

16.5 = 2.9V b - 0.049V b

16.5 = 2.851 V b

V b = 5.787 m/s

The speed of the ball = 5.787 m/s