Valley crossing problem |
Problem in hand:
There are three people trying to cross a valley. The gap of the valley is in the range of one foot to two feet. Assume that each of them has the same footstep. They have a rod of a convenient size and they have to cross the valley using the rod as a support. Direct jumping is considered fatal assuming the valley is fathomless.
Solution:
The following are the steps to be followed sequentially to complete the task.
- Initially, the first person puts his leg forward and hid first foot remains in air and so he is only half safe. The remaining are fully safe.
- The next step, the first person is totally unsafe and he has hang from the rod, which is being supported by the other two with their weight.
- The next step, the first person puts its first foot on the other side of the valley and hence half safe again. The second person now puts his first foot in air and hence even he is half safe.
- At the end of next step, the first person totally reaches the other end of the valley and hence is totally safe again. The second person is totally unsafe hanging in the air with the support of the rod weighted by the first and third persons.
- Next step, the second person puts his first step on the other side of the valley and the third person puts his first step in the air and hence both are half safe.
- At the end of next step, the third person reaches the other end of the valley and hence totally safe again. The third person remains hanging in the air supported by the first two persons who have reached the other end of the valley.
- After two more steps, even the third person reaches the other end of the valley and the mission has been accomplished.
Management Lessons learnt:
Team work:
The three members worked as part of a team and accomplished the goal of crossing the valley. In the whole exercise, at any point of time someone is either half safe or completely unsafe. Also, the number of times someone is either unsafe or half safe is same for all the three members. This shows that they should believe in each other and should develop a sense of mutual trust to complete the task successfully. Also a mistake by one the members may prove fatal for the remaining two members.
Interdependence:
We can observe the success of the above task depends on the three members equally. But also we can say that their roles are interlocked. The role played by one of them is played by the other at a different point of time. The safety of each member also depends on the workmanship of the other two. Hence we can say the Interdependence is crucial and should be maximum.
Peer support:
The support extended by our colleagues in a team helps us in doing wonders at job. This can be easily illustrated by the above exercise. In this generation, where work is being assigned in a more specific sphere of influence, peer support plays a pivotal in the success of any team. The support may be in the official problem or the personal arena.
Effectiveness:
Effectiveness is doing the right thing. In the valley crossing exercise, the three members had to decide on the best method to cross the dangerous valley using only a rod as a support. They might have thought upon a variety of options but finally executed the above solution because it is the best solution that they thought. Doing a given task effectively can increase the productivity greatly and this can be illustrated by the valley crossing exercise.
Vision and Mission:
A team should have a vision, both long term and short term and should work towards accomplishing it. A motivating vision and mission statement keeps us the right path to achieve the goal and acts as a constant motivating force. The vision and mission should be constantly updated based on or progress. Blindly doing the job without a clearly laid down vision results in haphazardness and lack of clarity on the job.