I am currently undergoing training and have asked about a fitness test called the bleep test. The bleep test involves running continuously between two points that are 20m apart. These runs are done in time to a pre-recorded bleep sounds on a pre-recorded audio cassette. The time between the recorded bleeps decrease after each minute. I would like to do my own personal version for training but I have to work out the following before doing this:

I need to find out the time in-between the beeps at least for the first level so I can work out the difference for the other levels:

The information given to me for the first level is :

A 20 meter run at 8.5km/hr (how long would it take?)

Please let me know if there is any way in working out this query with the information given.

Thankyou

Lorraine



Hi,

Yes, there is enough information to calculate how long it would take. There is a formula for this type of problem: rate x time = distance. You have the rate and the distance and need to find the time. I will abbreviate these quantities by their first letter.

(r)(t) = d now isolate t by itself by dividing by r t = d/r

So to solve for the time, you divide distance by rate. You must be careful, however. Your units must be the same for distance and rate first. So you must either convert 20 m to 0.020 km and use 8.5 km/h or leave the distance in meters and convert 8.5 km/hr to 8500 m/h.

t = 0.020km/8.5km/h

t = 0.002353 hours (rounded off)

You get an answer in hours but you likely want it in seconds. To convert that, use the fact that there are 3600 seconds in one hour.

(0.002353 hours) x (3600 seconds/hour) = 8.47 seconds (rounded to nearest hundredth).

Hope this helps,

Leeanne

Go to Math Central