Question

Adam and Peter have equally long steps. They are steps apart. In one minute Adam took steps and Peter steps. Who should start earlier and how much earlier to meet each other exactly halfway while walking towards each other? Express the solution in minutes and seconds.

Answer 1

Answer:

200 seconds or 3.66 minutes

Step-by-step explanation:

We have,

Adam takes 80 steps in one minute Peter takes 60 steps in one minute

or

Adam takes 4/3 of a step in one second and Peter takes 1 step in one second

If they need to cover halfway, each should cover 800 steps

Since Peter walks slower than Adam, Peter should start earlier.

To cover 800 steps Peter takes \frac{800}{1} seconds which is 800 seconds

Whereas Adam takes \frac{800}{\frac{4}{3}} seconds which is 600 seconds

Since Adam is 200 seconds faster than Peter, Peter should start 200 seconds earlier than Adam

In minutes Peter should start 3.66 minutes earlier than Adam

Answer 2

Peter should start earlier by 3 minutes 20 seconds to meet each other exactly halfway while walking towards each other.

Given,

Adam and Peter have equally long steps. They are steps apart. In one minute Adam took 80 steps and Peter took 60 steps.

To find,

Who should start earlier and how much earlier to meet each other exactly halfway while walking towards each other? Express the solution in minutes and seconds.

Solution,

We have,

Adam takes 80 steps in one minute Peter takes 60 steps in one minute

or

Adam takes 4/3 of a step in one second and Peter takes 1 step in one second

If they need to cover halfway, each should cover 800 steps

Since Peter walks slower than Adam, Peter should start earlier.

To cover 800 steps,

Peter takes $\frac{800}{1}$ seconds, which is 800 seconds

Adam takes $\frac{800}{\frac{4}{3}}$ seconds, which is 600 seconds

Time difference = 800 - 600

                           = 200 seconds

                           = 3 minutes 20 seconds

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